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1. Take Test: Assignment 7.. - Hypothesis Tests

S20 MATH1310-01 Statistical Concepts

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Take Test: Assignment 7.. - Hypothesis Tests

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QUESTION 1

1. State the null hypothesis and alternate hypothesis for the following:
2. A machine on a production line is set to automatically fill each bottle with 500 mLof water. The quality control manager regularly takes random samples of the bottles from the production line to ensure that the machine is filling the bottles correctly. If not, the machine will need adjusting.
3. In the first blank, state the sign, and in the second blank, state the number.
4. H₀:
6. H1:

2 points

QUESTION 2

1. State the null hypothesis and alternate hypothesis for the following:
2. The publisher ofCelebrity Livingclaims that the mean sales of personalitymagazines featuring celebrities such as Angelina Jolie or Kim Kardashianis at least 1.5 million per week. A sample of 10 comparable titlesshows 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.
3. H₀:
5. H1:

2 points

QUESTION 3

1. Use the following for thenext4questions:
2. A recent national survey found that high school students watched an average of 6.8DVDsper month with a population standard deviation of 2.5 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 6.1. 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)?
4. a)What kind of test is this?
6. One-tail(right tail)
7. Two-tail
8. One-tail (left tail)

1 points

QUESTION 4

1. b) What is the critical value?

1 points

QUESTION 5

1. c) Calculate the test statistic.Round to two decimal places.

1 points

QUESTION 6

1. d) What is your decision regarding the null hypothesis?
2. Reject
3. Do not reject

1 points

QUESTION 7

1. e) What is your conclusion?
2. College students watch fewer DVDsthan high school students.
3. College students do not watch fewerDVDsthan high school students.

1 points

QUESTION 8

1. Use the following for the next 4 questions:
2. The management of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 41.9 minutes and the standard deviation of the sample was 2.7 minutes. Using the 0.10 level of significance, can we conclude that the assembly time using the new method is faster?
4. a)What kind of test is this?
6. Two-tail
7. One-tail(right tail)
8. One-tail (left tail)

1 points

QUESTION 9

1. b) What is the critical value?

1 points

QUESTION 10

1. c) What is the value of the test statistic?Round to three decimal places.

1 points

QUESTION 11

1. d) What is your decision regarding the null hypothesis?
2. Reject.
3. Do notreject.

1 points

QUESTION 12

1. e)What is your conclusion?
2. The new method is faster.
3. The new method isn't faster.

1 points

QUESTION 13

1. Use the following for the next 4 questions:
3. A nationwide survey of college students was conducted and found that students spend two hours per class hour studying. A professor at your school wants to determine whether the time students spend at your school is significantly different from the two hours. A random sample of fifteen statistics students is carried out and the findings indicate an average of 2.1 hours with a standard deviation of 0.24 hours.Using the 0.10 level of significance, can we conclude that the time students spend studying at your school is different from 2 hours?
5. a)What kind of test is this?
7. One-tail (left tail)
8. Two-tail
9. One-tail(right tail)

1 points

QUESTION 14

1. b) What is the critical value?State the positive one.

1 points

QUESTION 15

1. c) What is the value of the test statistic?Round to three decimal places.

1 points

QUESTION 16

2. d) What is your decision regarding the null hypothesis?
3. Reject.
4. Do notreject.

1 points

QUESTION 17

1. e)What is your conclusion?
2. There isn't a difference in the amount of time spent studying at your school.
3. There is a difference in the amount of time spent studying at your school.