QUESTION 1

State the null hypothesis and alternate hypothesis for the following:

The publisher ofCelebrity Livingclaims that the mean sales of personality magazines featuring celebrities such as Angelina Jolie or Kim Kardashian is greater than 1.5 million per week. A sample of 10 comparable titles shows that the mean weekly sales last week was 1.3 million. The publisher's claim of 1.5 million per week is to be verified.

In the first blank, state the sign, and in the second blank, state the number.

Use the following to enter your sign:

= for equals/= for does not equal to

>for greater than>= for greater than or equal to

SignNumber

1. H₀: .............................................million

1. H₁: ............................................million

QUESTION 2

State the null hypothesis and alternate hypothesis for the following:

The manager of Little Cakes Inc. states that an average of 1500 muffins is sold each week in the retail store. One of the bakers feels that the average is less than 1500 and decides to test this claim. A sample of 4 weeks shows an average of 1450 muffins sold per week.

In the first blank, state the sign, and in the second blank, state the number.

Use the following to enter your sign:

=equals/=does not equal to

>greater than>=greater than or equal to

SignNumber

H₀: ..............................muffins

H₁: ................................muffins

State the null hypothesis and alternate hypothesis for the following:

For the past 3 years, an insurance company has stated that its average claim amount is $2000. The managerfeels that this amount should be updated and takes a sample of 55 claims to see if there is a difference in the average claim amount.

In the first blank, state the sign, and in the second blank, state the number.

Use the following to enter your sign:

=equals/=does not equal to

>greater than>=greater than or equal to

SignNumber

H₀: .................$

H₁: ......................$

QUESTION 4

Use the following for thenext4questions:

A recent national survey found that high school students watched an average of 6.8DVDsper month with a population standard deviation of 0.5 hours. The distribution of times follows the normal distribution. A random sample of 36 college students revealed that the mean number ofDVDswatched last month was 6.2. At the 0.05 significance level, can we conclude that college students watch fewerDVD'sa month than high school students (average of 6.8 DVDsper month)?

a)What kind of test is this?

One-tail(right tail)

Two-tail

One-tail (left tail)

QUESTION 5

b) What is the critical value?

QUESTION 6

c) Calculate the test statistic to 1 decimal place.

QUESTION 7

d) What is your decision regarding the null hypothesis?

Reject Null Hypothesis

Do not Reject Null Hypothesis

QUESTION 8

e) What is your conclusion?

1. Sample data indicates that college students watch significantly fewer DVDs than high school students.
2. Sample data indicates that college students watch significantly more DVDs than high school students.

QUESTION 9

Use the following for the next 5 questions:

A new process was created for the production of computer chips.Management wants to know if the mean time of the new process is greater than the mean time of the older process.When data was collected the following was found.The mean time for the new process was 1.31 minutes with a standard deviation of 0.24 minutes.The mean time for the older process was 1.24 minutes with a standard deviation of 0.23 minutes.Both were from samples of 50 units each.Test to determine whether the mean time of the new process is greater than the mean process time for the older process at a level of significance of = 0.025.

a) Entree the proper signs to complete the hypotheses.

Use the following to enter your sign:

=equals/=does not equal to

>greater than>=greater than or equal to

H₀: _new........................._old

H₁: _new........................._old

QUESTION 10

b)What kind of test is this?

One-tail (left tail)

One-tail(right tail)

Two-tail

QUESTION 11

c) What is the critical value?

..................

QUESTION 12

d) Calculate the test statistic to 2 decimal place.

.........................

QUESTION 13

What is your decision regarding the null hypothesis?

Do Not Reject Null Hypothesis

Reject Null Hypothesis

QUESTION 14

f) What is your conclusion?

Sample data indicates that there is no difference in the mean time for either processes.

Sample data indicates that the mean time for the new process is not significantly greater than the mean time of the older process.

Sample data indicates that the mean time for the new process is significantly greater than the mean time of the older process.