Write the null and alternative hypotheses in words and then symbols for each of the following situations.

a. A tutoring company would like to understand if most students tend to improve their grades (or not) after they use their services. They sample 200 of the students who used their service in the past year and ask them if their grades have improved or declined from the previous year.
b. Employers at a firm are worried about the effect of March Madness, a basketball championship held each spring in the US, on employee productivity. They estimate that on a regular business day employees spend on average 15 minutes of company time checking personal email, making personal phone calls, etc. They also collect data on how much company time employees spend on such non-business activities during March Madness. They want to determine if these data provide convincing evidence that employee productivity changed during March Madness.

Answers

Answer 1

Answer:

A) the hypothesis in words and symbols are;

Null hypothesis: Grades have not improved for most students

Alternative hypothesis: Grades have improved for most students

Null hypothesis; H0: p^ = 0.5

Alternative hypothesis; Ha: p^ > 0.5

B) Null hypothesis: During march madness, employees averaged 15 minutes per day on non - business activities

Alternative hypothesis: During march madness, employees averaged more than 15 minutes per day on non-business activities

Null hypothesis; H0: μ = 15

Alternative hypothesis; Ha: μ > 15

Step-by-step explanation:

A) We are told that they sampled 200 of the students who used their service in the past year and ask them if their grades have improved or declined from the previous year. Thus, there will be a 50% chance of success for their grades to have improved and a 50% chance for it to remain the same.

Thus; p^ = 0.5

So the hypothesis in words and symbols are;

Null hypothesis: Grades have not improved for most students

Alternative hypothesis: Grades have improved for most students

Null hypothesis; H0: p = 0.5

Alternative hypothesis; Ha: p > 0.5

B) We are told that they estimate that on a regular business day employees spend on average 15 minutes of company time checking personal email, making personal phone calls, etc

Also, They also collect data on how much company time employees spend on such non-business activities during March Madness.

The hypotheses in words and symbols are;

Null hypothesis: During march madness, employees averaged 15 minutes per day on non - business activities

Alternative hypothesis: During march madness, employees averaged more than 15 minutes per day on non-business activities

Null hypothesis; H0: μ = 15

Alternative hypothesis; Ha: μ > 15

Answer 2

The Null hypothesis is the initial truth which we would like to counter using the alternative hypothesis. The Null and Alternative hypothesis for the given situation are :

1.)

Null hypothesis : There have been no change in the grade obtained by the students.

Alternative hypothesis : The grade obtained by the students have improved as students now attain better grades after attending the tutoring class

Using symbol :

[tex] H_{0} : \hat {p} = 0.5 [/tex][tex] H_{1} : \hat {p} > 0.5 [/tex]

2.)

Null hypothesis : There is no change in the productivity of employees during the period as the amount of time spent on non-business activities remains the same.

Alternative hypothesis : There is a change in productivity has employees spend more than 15 minutes engaging on non-business activities.

Using symbol :

[tex] H_{0} : μ ≤ 15 [/tex][tex] H_{1} : μ > 15 [/tex]

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Related Questions

Helpppp


A 95% confidence interval is found to be (30,36). The sample standard
deviation is 9, and the sample size is 36. If you wanted a smaller interval,
what could you do?
A. None of these
B. Decrease the sample size to 30.
C. Increase the sample size to 100.
D. Increase the confidence level to 99.7%.

Answers

Answer:

C

Step-by-step explanation:

A P E X

If you wanted a smaller interval, you could (c)  Increase the sample size to 100

How to determine the true statement?

The confidence interval is given as:

CI = 95%

The sample standard deviation is given as:

σ = 9

The sample size is given as:

n = 36

In a test of hypothesis, the higher the sample size, the smaller the confidence interval.

This means that an increase in the sample size from 36 would decrease the confidence interval

Hence, if you wanted a smaller interval, you could (c)  Increase the sample size to 100

Read more about confidence intervals at:

https://brainly.com/question/15712887

#SPJ2

While scuba diving, Alex counted the number of sea turtles and jellyfish he saw. After a few minutes, he counted 4 sea turtles and 12 jellyfish. This ratio remained constant during the remainder of his dive.

Answers

Answer:Alex found 3 jellyfish for very sea turtle.

Step-by-step explanation:

Answer:

3 jelly fish

Step-by-step explanation:

What the * stands for ?

Answers

Depends. It’s called an asterisk.
In math it’s used for multiplying.
So 5*5= 25

The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of chips and standard deviation chips. ​

Required:
a. What is the probability that a randomly selected bag contains between and chocolate​ chips, inclusive? ​
b. What is the probability that a randomly selected bag contains fewer than chocolate​ chips? ​
c. What proportion of bags contains more than chocolate​ chips? ​
d. What is the percentile rank of a bag that contains chocolate​ chips?

Answers

Answer:

Explained below.

Step-by-step explanation:

The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1262 chips and standard deviation 118 chips. ​

(a)

Compute the probability that a randomly selected bag contains between 1000 and 1400 chocolate​ chips as follows:

[tex]P(1000<X<1400)=P(\frac{1000-1262}{118}<\frac{X-\mu}{\sigma}<\frac{1400-1262}{118})\\\\=P(-2.22<Z<1.17)\\\\=P(Z<1.17)-P(Z<-2.22)\\\\=0.87900-0.01321\\\\=0.86579\\\\\approx 0.8658[/tex]

Thus, the probability that a randomly selected bag contains between 1000 and 1400 chocolate​ chips is 0.8658.

(b)

Compute the probability that a randomly selected bag contains fewer than 1000 chocolate​ chip as follows:

[tex]P(X<1000)=P(\frac{X-\mu}{\sigma}<\frac{1000-1262}{118})\\\\=P(Z<-2.22)\\\\=0.01321\\\\\approx 0.0132[/tex]

Thus, the probability that a randomly selected bag contains fewer than 1000 chocolate​ chip is 0.0132.

(c)

Compute the proportion of bags that contains more than 1200 chocolate​ chips as follows:

[tex]P(X>1200)=P(\frac{X-\mu}{\sigma}>\frac{1200-1262}{118})\\\\=P(Z<-0.53)\\\\=0.29806\\\\\approx 0.2981[/tex]

Thus, the proportion of bags that contains more than 1200 chocolate​ chips is 0.2981.

(d)

Compute the percentile rank of a bag that contains 1125 chocolate​ chips as follows:

[tex]P(X<1125)=P(\frac{X-\mu}{\sigma}<\frac{1125-1262}{118})\\\\=P(Z<-1.16)\\\\=0.12302\\\\\approx 0.123[/tex]

Thus, the percentile rank of a bag that contains 1125 chocolate​ chips is 12.3rd.

Find the slope of a line that passes through the given two points
(2,4) and (3,6).

Answers

Answer:

The slope is 2.

Step-by-step explanation:

hope that helps

y²-y¹/x²-x¹

6-4/3-2

2/1

=2

Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)

Answers

Answer:

195

Step-by-step explanation:

Divide 91/7 which is 13 and multiply that by 15 to get the value of y when x is 15

Can someone help me with these?

Answers

Answer:

Luzilândia baiana não ia já ouvi falar em Maranhão que e Rosa do Brasil na rocha godprl e abaixa e viu neon

Zoe‘s graduation picnic cost $94 for the decorations plus an additional $10 for each attendee at Moose how many attendees can there be if Zoe budgets a total of $474 for her graduation picnic

Answers

Answer:

38 attendees.

Step-by-step explanation:

Subtract the cost of the decorations from the total (474 - 94). You are then left with $380 for all the attendees combined. Divide the total cost of attendees by the cost per attendee (380/ 10). You are left with 38 attendees. You can also check this backwards by multiplying 38 attendees by $10 (380), then adding the cost of decorations (94), and end up with the total cost of $474. I hope this helped!

Please help someone I’m miserable I’ll pay Lol

Answers

Answer:

7,6 1/2, 5 here are your answers welcome

Kai sells a small magazine full of celebrity gossip to college students for $2.65 per copy. Hiring the printing press for one day, the only fixed cost, is $435 an issue. The variable cost of printing each issue is $0.82 per copy. The printer tells Kai the cost of hiring the press is to increase by $116 per day. If changing to color increases variable costs by $0.40, what is the percentage decrease in contribution margin resulting from the switch to color?

Answers

Answer:

Percentage decrease= 21.86%

Step-by-step explanation:

Giving the following information:

Selling price per unit= $2.65

Current variable cost= $0.82

Increase in variable cost= $0.4

To calculate the unitary contribution margin, we need to use the following formula:

Unitary contribution margin= selling price - unitary variable cost

Unitary contribution margin= 2.65 - 0.82

Unitary contribution margin= $1.83

New contribution margin= 2.65 - 1.22

New contribution margin= $1.43

Finally, the percentage decrease:

Percentage decrease= [1 - (1.43/1.83)]*100

Percentage decrease= 21.86%

Please help me due today by 3:00pm please help me

Answers

-3n+9 = 3n + 9
9 = 0n + 9
n = 0

Answer

n= 0

Explanation

- 3 (n - 3) = 3n + 9−3(−3)=3+9

−3+9=3+9

−3=3

-3n=3n−3n=3n

−3−3=3−3

−6=0

NEED HELP ASAP!! (PIC ATTACHED)

Answers

it’s 8 16-8=8 so 8 is the answer

What’s the constant term for 7k-8k=

Answers

Answer:

K?

Step-by-step explanation:    

A 4 quart container of window cleaner costs $12.48. What is the price per cup?

Answers

Answer:

$3.12

Step-by-step explanation:

A quart is 4 cups

Divide the Price $12.48 by 4 = $3.12 a cup

Find the value of X.

Answers

Answer:

x = 6

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

32+4 is 36

90-36 is 54

9 times 6 is 54

54+4 is 58

58+32 is 90

pls mark me brainliest :)

1+9 help me now plssssss

Answers

Your answer would be 10

Answer:

10

Step-by-step explanation:

you do the one plus the nine which gives you 11 then subtract 2 which gets you 9 then add 4 which gets you 13 then minus 3 which gets you 10.

Joe borrowed $3,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 6 years?

Answers

Answer:

1260

Step-by-step explanation:

I'm not 100% sure this is correct

Answer:

$1,260

Step-by-step explanation:

I = Prt

I = 3,000 (0.07) (6)

I = 3,000 (0.42)

I = 1,260

Joe paid $1,260 in 6 years.

Name a street that is perpendicular to Hwy 64/40 . Can you help with all these questions

Answers

Answer:

no puedo alludar te perdón

someone helppp please!!

Answers

Answer:

because ΔMLN ≅ ΔYZX

=> MN = YX = 4

Step-by-step explanation:

Answer:

I think its four

Step-by-step explanation:

Help me pleaseeeeee pretty please please please

Answers

A. f(x^2+5x)=1/x(x+5)

B. Domain:
(−∞,−5)∪(−5,0)∪(0,∞),{x|x≠0,−5}

Range: (−∞,−4/25]∪(0,∞),{y∣y≤−4/25,y>0}
The explanation is hard like the question lol

Show work

Bonita and Vince are jogging to school 2.5 miles west of

Vinces' house. It takes

them 15 minutes to arrive. As soon as they got there Boneta needed to run east

5 miles to the discount store for personal supplies. This took her 5 minutes. She

then slowly walks back to school, which takes her another 10 minutes

What is the average velocity in miles/min for Bonita for the entire trip?

Show how you convert this to mis? Show your setup and answer.

What is her average speed in miles/min?

- Show how you convert the average speed to mis. Show your set up and answer.

Answers

Answer:

V_avg = 0.5556 miles/min

V_avg = 0.00926 miles/sec

Step-by-step explanation:

Bonita jogs 2.5 miles west of Vinces' house to school. It took her 15 minutes to arrive.

Speed 1; distance/time = V1 = 2.5/15 = 1/6 miles/min

Furthermore she ran 5 miles to the discount store for personal supplies. This took her 5 minutes.

Thus;

Speed 2; V2 = 5/5 = 1 mile/min

She then slowly walks back to school, which takes her another 10 minutes. Distance from the discount stor to school is 5 miles as stated in speed 2.

Thus;

Speed 3: V3 = 5/10 = ½ mile/min

Her average speed is;

V_avg = (V1 + V2 + V3)/3

V_avg = (1/6 + 1 + ½)/3

V_avg = 10/18 = 0.5556 miles/min

Converting to miles/seconds

60 seconds make 1 minutes, therefore 1 mile/min = 1/60 miles/seconds

Thus;

V_avg = 0.5556 miles/min = 0.5556 × 1/60 miles/sec = 0.00926 miles/sec

EASY MATH QUESTION I will give brainiest to first correct answer!
Find the exact value of the following.
11.68 - 0.48 ÷ (-1.6) =
Happy Veterans Day, stay safe, God bless and happy studying!

Answers

Answer:

11.98

Step-by-step explanation:

f(x)=4x^2+2x+6
What is the value of the discriminant of f?
How many distinct real number zeros does f have ?

Answers

Answer:

It has ZERO distinct real number zeros.

Is 1 and 2/3 equal to 3divided by5

Answers

Answer:

sdfdfds

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

3 divided by 5 is the same as 0.6

A pound of ground beef costs $5 At this rate, what is the cost of 3 pounds

Answers

Answer:

$15

Step-by-step explanation:

if one pound is $5 and we need 3, then we can multiply the price of one pound by 3. (3×$5) This gives $15

$15. if one is 5, you would do 5x3, to get your answer of how many 3 pounds is

c - 3/4 = 1/8
Please answer

Answers

Answer:

The answer is 7/8.

Step-by-step explanation:

to get the answer you must use inverse operation so 3/4 + 1/8 = 0.875 or 7/8.

If this helped I would appreciate it if you marked me Brainliest. thank you and have a nice day!

Answer:

c = 7/8

Step-by-step explanation:

c - 3/4 = 1/8

First I will make sure that they all have the same denominator.

[tex]\frac{3}{4} * 2= \frac{6}{8}[/tex]

Our new equation will look like:

c - 6/8 = 1/8

Now we will add 6/8 to both sides.

c = 1/8 + 6/8

c = 7/8

Our final answer is:

c = 7/8

Fill in the blanks to complete the sentence.
Last month, the online price of a powered ride-on car was $250. This month, the online price is $330. What is the percent of increase in the price of the car? Round the percent to the nearest tenth if necessary. :)

Answers

Answer:32%

Step-by-step explanation:

330-250=80

80/250=0.32 or 32%

pls help ill give brainleist​

Answers

I think it’s C. Im not completely sure.

Answer:

Answer is D hope this helped u :)

Step-by-step explanation:

Solve.
1) A collection of dimes and quarters is worth S15.25. There are 103 coins in all.
How many of each is there?
2) A collection of half dollars and nickels is worth S13.40. There are 34 coins in
all. How many are there?
3) The attendance at a school concert was 578. Admission was S2.00 for adults
and S1.50 for children. The total receipts were S985.00. How many adults and
how many children attended?
4) A purse contains S3.90 made up of dimes and quarters. If there are 21 coins in
all, how many dimes and how many quarters were there?
5) A boy has S2.25 in nickels and dimes. If there are twice as many dimes as
nickels, how many of each kind has he?

Answers

1. 70 dimes and 33 quarters
2. 18 dimes and 9 nickels
3. 236 adults and 342 children
4. 12 quarters, 9 dimes
5. 9 nickels, 18 dimes

X - 2
x2-2x + 3
4.
x + 3
x + 3​

Answers

Answer:

The equation is likely (x2 -2x -3)/(x+2) and to simplify you can do polynomial synthetic division or long division. Using long division because it works in all cases:

       ________

x+2√x2 -2x -3             how many times does x go into x2  , x times

       x - 4 ______

x+2√x2  - 2x -3            multiply x by x + 2 and create the next row

     -(x2 )

          -4x - 3             bring down the -3 and repeat first step. how many times does x go into -4x, -4 times

        -(-4x - 8)            multiply x + 2 by -4

               

                   5             (this is the remainder but it must be in the form 5/(x+2)

so the answer is x - 4 + 5/(x + 2). Hopefully, this is what your teacher considers "simplified".

                         

Step-by-step explanation:

Copied this from wyzant.com.  

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