A factory produces bags of rubber bands. A bag of rubber bands has five different sizes: extra large (XL), large (L), medium (M), small (S), and extra small (XS). A quality control specialist collects a random sample of 450 rubber bands from the bagging machine and calculates a chi-square goodness-of-fit test to see if the frequencies for each size in the sample match the hypothesized distribution. The quality control specialist will test his sample against the following null hypothesis.H0:pXL=0.10,pL=0.20,pM=0.40,pS=0.20,pXS=0.10 How many medium rubber bands are expected in the random sample of 450 rubber bands?

Answers

Answer 1

Answer:

The expected frequency is 90

Step-by-step explanation:

If the given probabilities are taken as observed

pXL=0.10,      450*0.1= 45

pL=0.20,      450*0.2= 90

pM=0.40,     450*0.4= 180

pS=0.20,     450*0.2= 90

pXS=0.10     450*0.1= 45

We can assign the expected frequencies to be 450/5= 90 each

The chi square goodness fit test can be calculated as

Observed    Expected   (o-e)       (o-e)²          (o-e)² /e

45                   90         -45            2025              22.5

90                  90           0                0                    0

180                 90           90             8100               90

90                 90            0              0                         0

45                  90         -45             2025                   22.5    

∑                                                                                135        

χ²= 135

The χ² value at 0.05 is 9.49

The result is significant.

Answer 2

Answer:

180

Just took the test


Related Questions

Match the vocabulary to the proper definition.
1. a conclusion based on the results of evidence
2. a question that leads individuals towards a certain answer
the collection, organization, and analysis of numerical
3.
information
a sample in which every member of the population has an
4.
equal chance of being selected; unbiased sample
5. a sampling of a population used to make predictions

Answers

Answer:

I got an answer

Step-by-step explanation:

1 is inference

2 is biased question as individuals are lead towards an answer that aligns with what the one who made the question wants

3 is statistics

4 is random

5 is survey

28 divided by a number n
An algebraic expression for the situation is
(Use the operation symbols in the math palette as needed.)

Answers

Answer:

28 ÷ n

Step-by-step explanation:

You want to get a number divided off 28

So you add the division symbol as the algebraic expression.

A computer is worth $400 when it is new. After each year, it is worth hall what it was the previous year What will its worth be after 4 years? Round you answer to the nearest dollar NOT cents

A. 500$
B. 125$
C. 250$
D. 1000$

Answers

Creo que la repuesta es la D

Which is more 4 inches or 1 foot

Answers

Answer: 1 foot

Step-by-step explanation:

because 1 foot is equivalent to 12 inches

c. Translate the follom
4.) 51 - (x+5)
5.) 3(7-8)​

Answers

Step-by-step explanation:

1. 51-x-5

= 46-x Answer

2. 21-24

= -3 Answer

PLS ANSWER QUICK, HELP AND EXPLAIN

Answers

Answer:

48 squared inches

Step-by-step explanation:

4x2x6 altogether is 48

Answer:

48 square in.

Step-by-step explanation:

2 × 6 = 12

12 × 4 = 48

so ur answer is 48 square inches

I need assistance if anyone would be so kind.

Answers

he shoots 20 arrows

guys help asap plsss!

Answers

Given:

The triangle ABC rotated 270 degrees clockwise.

The rule of rotation is

[tex](x,y)\to (-y,x)[/tex]

To find:

The coordinates of point B after the given rotation.

Solution:

From the given graph, it is clear that the coordinates of point B are (4,4).

The given rule of rotation is:

[tex](x,y)\to (-y,x)[/tex]

Using this rule, we get

[tex]B(4,4)\to B'(-4,4)[/tex]

The coordinates of point B after the given rotation are (-4,4).

Therefore, the correct option is C.

convert 320% to an equivalent decimal.​

Answers

Answer:

Answer is 3.2

Step-by-step explanation: you can take any percent and divide it by 100. So in this example you would divide 320/100 and it will give you 3.2

It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minutes per day that people spend standing or walking. Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with mean 376 minutes and standard deviation 67 minutes. The mean number of minutes of daily activity for lean people is approximately Normally distributed with mean 520 minutes and standard deviation 110 minutes. A researcher records the minutes of activity for an SRS of 7 mildly obese people and an SRS of 7 lean people.
A) What is the probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes?
B) What is the probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?

Answers

Answer:

a) 0.0537 = 5.37% probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes

b) 0.9871 = 98.71% probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mildly obese:

Mean 376 minutes and standard deviation 67 minutes, which means that [tex]\mu = 376, \sigma = 67[/tex]

Sample of 6

This means that [tex]n = 6, s = \frac{67}{\sqrt{6}} = 27.35[/tex]

Lean

Mean 520 minutes and standard deviation 110 minutes, which means that [tex]\mu = 520, \sigma = 110[/tex]

Sample of 6

[tex]n = 6, s = \frac{110}{\sqrt{6}} = 44.91[/tex]

A) What is the probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes?

This is 1 subtracted by the pvalue of Z when X = 420, using the mean and standard deviation for mildly obese people. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{420 - 376}{27.35}[/tex]

[tex]Z = 1.61[/tex]

[tex]Z = 1.61[/tex] has a pvalue of 0.9463

1 - 0.9463 = 0.0537

0.0537 = 5.37% probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes.

B) What is the probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?

This is 1 subtracted by the pvalue of Z when X = 420, using the mean and standard deviation for lean people. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{420 - 520}{44.91}[/tex]

[tex]Z = -2.23[/tex]

[tex]Z = -2.23[/tex] has a pvalue of 0.0129

1 - 0.0129 = 0.9871

0.9871 = 98.71% probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes

Guys this is simple question
Who’s fault is it
So it was Easter and my water was at the table and about 7 inches away from the table, then my sister was reaching something competing with my cousin and then she spilled the water on the floor and there was my charger, and I hurried to dry the charger but when I charged it, didn’t work. So it ment it broke.

So who’s fault is it?

Answers

I don't think anyone is at fault here since blame could be placed on both. you because your water (if it was a bottle) was left open and your sister because she knocked it over. It's not your fault or hers though so don't worry too much about it!

Suppose that sand is falling to form a circular cone whose radius and height are the same, as in the picture. Suppose that twenty cubic meters of sand falls every minute, so that the volume of the cone of sand is increasing at the rate of 20 m3/min. When the cone of sand is ten meters high, what is the at which the height of the cone is increasing (in meters per minute)

Answers

20-20=0 and 1+2 = 3 sooo my home would be nice thx for the points

In ΔQRS, s = 2.3 inches, ∠S=51° and ∠Q=44°. Find the area of ΔQRS, to the nearest 10th of an square inch.

Answers

Answer:

Area of ΔQRS = 2.3 square inches

Step-by-step explanation:

From the given information,

<S + <Q + <R = [tex]180^{o}[/tex]

51 + 44 + <R = [tex]180^{o}[/tex]

95 + <R = [tex]180^{o}[/tex]

<R = [tex]180^{o}[/tex] - 95

    = [tex]85^{o}[/tex]

<R = [tex]85^{o}[/tex]

Applying the Sine rule, we have;

[tex]\frac{q}{SinQ}[/tex] = [tex]\frac{r}{SinR}[/tex] = [tex]\frac{s}{SinS}[/tex]

Using [tex]\frac{r}{SinR}[/tex] = [tex]\frac{s}{SinS}[/tex]

[tex]\frac{r}{Sin 85}[/tex] = [tex]\frac{2.3}{Sin51}[/tex]

r = [tex]\frac{2.3*Sin85}{sin51}[/tex]

  = 2.9483

r = 2.9 inches

Also, [tex]\frac{q}{SinQ}[/tex] = [tex]\frac{s}{SinS}[/tex]

[tex]\frac{q}{Sin44}[/tex] = [tex]\frac{2.3}{Sin51}[/tex]

q = [tex]\frac{2.3*Sin44}{Sin51}[/tex]

  = 2.0559

q = 2.0 inches

From Herons formula,

Area of a triangle = [tex]\sqrt{s(s-q)(s-r)(s-s)}[/tex]

s = [tex]\frac{2.3 + 2.0 + 2.9}{2}[/tex]

  = 3.6

Area of ΔQRS = [tex]\sqrt{3.6(3.6-2.0(3.6-2.9)(3.6-2.3)}[/tex]

                        = 2.2895

Area of ΔQRS = 2.3 square inches

Answer:

2.4

Step-by-step explanation:

Dont go on bit. ly/3a8Nt8n (virus warning)
SPREAD NEWS PLEASE, THANKS <3
i have no more points from saying this so please at least just one post of this

Answers

okay! thank you so much for the awarness!
Thank you but can u Please help — Neil is going to a bookstore 45 miles away. The bridge was closed on the way back, so
he had to take an alternate route and had to drive 15 mph slower, which make the trip
back take 7 minutes longer. How fast was he going on the way to the bookstore?

Emma drove 5 hours and 20 mins to her vacuum she left home at 10:15 am what time did she arrive

Answers

Answer: 3:35

Step-by-step explanation:

Offering a lot of points for this

Answers

Answer:

6x - 1

Step-by-step explanation:

Add 3x and 3x.

6x − 1

ídk hope this helps... ( ̄▽ ̄)ノ

Answer:

6x-1

Step-by-step explanation:

5th grade math. correct answer will be marked brainliest

Answers

Answer:

8

Step-by-step explanation:

4/5 of 10 is 8

4/5*10

Answer:

zack has 8 stamps.

Step-by-step explanation:

total stamps: 10

fifths: 10 divided by 5 = 2

so each part is worth 2 stamps.

so now : 2 x 4 = 8

therefore 8 is answer.

im not wrong

im am a high schooler

now mark me brainlist please.

hope it helps.

Find the area of the following figure:

Answers

Answer:

84

Step-by-step explanation:

6 * 14 = 84

Area: 69

So we can split the figure into two sections. One rectangle, and one triangle.

The rectangle's area would be 54.

Since the length of the figure is 14 in total. we can subtract 9 from 14

5 is the height of the triangle

to find the area of a triangle, it is height x width divided by 2

so 5 x 6 divided by 2 = 15

54 + 15 = 69

Create an exponential function that models this situation based on the time in secons in the video.

B(t)= __​

Answers

Answer:

B(t) = 2*[tex]2^{t}[/tex]

Step-by-step explanation:

You have all correct choices.

We can use the given values and work out the equation:

B(t) = [tex]ab^{t}[/tex]B(0) = 2 ⇒ a*b⁰ = 2 ⇒ a = 2B(1) = 4 ⇒ a*b¹ = 4  ⇒ 2b = 4 ⇒ b = 2

The function for this situation is:

B(t) = 2*[tex]2^{t}[/tex]

Answer:

2(2)^t

Step-by-step explanation:

PLATO


What does the 6 represent in 2/6

Answers

Answer:

the denominator

Step-by-step explanation:

the top is numerator ans bottom is denominator

The number 6 is the denominator of the given fraction.

What is a fraction?

"A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator.

The number on the top is called the numerator, and the number on the bottom is called the denominator. The numerator defines the number of equal parts taken, whereas the denominator defines the total number of equal parts in a whole."

What is the denominator of a fraction?

"A denominator is the part of a fraction that comes below the fractional bar. The denominator shows the total amount of parts that make up a whole. A fraction can be identified by a horizontal bar between two numbers. This bar or symbol is known as the fractional bar. The number on the top is known as the numerator, and the number below the fractional bar is known as the denominator."

For any fraction [tex]\frac{a}{b}[/tex], 'a' is the numerator and 'b' is the denominator.

The given fraction is [tex]\frac{2}{6}[/tex].

Here, the number 6 is the denominator of the given fraction.

Learn more about a denominator here: https://brainly.com/question/7067665

#SPJ2

Select all numbers that have an absolute value of 6.3.

Answers

Answer:

-6.3

Step-by-step explanation:

Its the only thing I can think of. |-6.3| |6.3|

Microsoft wants to administer a satisfaction survey to its current customers. Using their customer​ database, the company randomly selects 50 customers and asks them about their level of satisfaction with the company. What type of sampling is​ used? A. Systematic B. Convenience C. Simple random D. Cluster E. Stratified

Answers

Answer:

Simple random

Step-by-step explanation:

There are various methods which may be employed when we intend to select a certain few from a larger group of subjects. The simple random sampling may be described as the most basic form of random sampling whereby a smaller group or subset is chosen from the larger population entirely by chance (each subject or member of the population has equal chances of being selected). A simple random sampling, the larger group isn't partitioned or subdivided prior to selection, the subsets are just selected as they are. In the scenario above, the database is the population and the 50 samples are selected directly from the database without splitting or prior partioning of the population data.

If the energy required to harvest and refine an energy resource is 10,000 megawatts (MW) and the energy actually obtained from using the fuel is 12,400 MW, what is the EROEI of this resource?

Answers

Answer:

22,4000 answer i tinking

Find the value of x.

Answers

Answer:

116

Step-by-step explanation:

110+79+55=244

360-244=116

Answer:

116

Step-by-step explanation:

Which graph represents exponential decay?

On a coordinate plane, a straight line has a negative slope.

On a coordinate plane, a curve approaches y = 0 in quadrant 2 and curves up in quadrant 1.

On a coordinate plane, a straight line has a positive slope.

On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2.

Answers

The graph which shows the function is exponential decay is on a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2 thus, option (D) is correct.

What is an exponential function?

In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.

As per the given,

The exponential function is a function that changes rapidly, for example, y = 6^x here as x approaches higher the y approaches rapidly higher.

Exponential decay is the exponential function that rapidly decreases as x increases for example y = 6^(-x).

The graph of the exponential decay has been graphed below.

Hence "The graph which shows the function is exponential decay is on a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2".

For more about exponential function,

https://brainly.com/question/15352175

#SPJ6

Answer:

D

Step-by-step explanation:

edge

hope this helps :)

what is the value of x in the equation -6 + x = -5

Answers

ANSWER: 1
-6 + 1 = -5

Se mezclan alcohol 54% con alcohol de 90 y agua en la proporcion de 6,6 y "n" .hallar "n" sabien que mezclam es del mismo grado de uno de los ingrediente​

Answers

Is there a way you can do this in English like write it in English?

In a poll conducted of 10000 people before an election, 5050 people preferred candidate D. What is the probability of seeing such a poll, given that candidate D wins the election with 51% of the vote. Make some reasonable assumptions and use the continuity correction to compute your answer.

Answers

Answer:

P ( x < 5050.5 ) ≈ 0.16104

Step-by-step explanation:

Total number of voters ( n ) = 10000

Before election : 5050 people preferred Candidate D ( k ) ≈ 50.1 %

Candidate D eventually wins with 51% of the votes

winning ( p ) = 0.51

Applying continuity correction formula

P ( x < 5050.5 ) ≈ 0.16104

attached below is the remaining part of the solution

SOMEONE PLZZ HELP ME! THIS IS DUE TODAY (I WILL GIVE BRAINLIEST)

Answers

22x+50 > 105

22x + 50 - 50 > 105 - 50

22x > 55

x > 2.5

They will earn more than $105 after 2.5 years

Which number has the least value?
A 7.078
B 7.708
C 7.807
D 7.007

Answers

the correct answer is D!

Answer: D

Step-by-step explanation: It has the least value in the hundredths and thousandths place, so it is D.

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