Use five-step hypothesis testing for each of the following problems. Number each of the five steps. You may use the traditional method or the p-value method. 1) Science fiction novels average 250 pages in length. The average length of 8 randomly chosen novels written by I. M. Wordy was 265 pages in length with a standard deviation of 35. At are Wordy's novels significantly longer than the average science fiction novel? Use five-step hypothesis testing.
Use five-step hypothesis testing for each of the following problems. Number each of the five steps.
You may use the traditional method or the p-value method.
1) Science fiction novels average 250 pages in length. The average length of 8 randomly chosen novels written by I. M. Wordy was 265 pages in length with a standard deviation of 35. At are Wordy's novels significantly longer than the average science fiction novel?
Use five-step hypothesis testing.
2) The average monthly cell phone bill was reported to be $50.07 by the U.S. Wireless Industry.
Random Sampling of a large cell phone company found the following monthly cell phone charges (in dollars):
At the 0.01 level of significance, can it be concluded that the average phone bill has changed?
3) Researchers suspect that 20% of all high school students smoke at least one pack of cigarettes a day. At Wilson High School, a randomly selected sample of 300 students found that 57 students smoke at least one pack of cigarettes a day. At α = 0.05, test the claim that fewer than 20% of all high school students smoke at least one pack of cigarettes a day.
4) A recent study of 100 individuals found the following living arrangements for men and women. Can it be concluded that there is a dependent relationship between gender and living arrangements at the α = 0.025 level of significance. Use the chi-square test of independence.
|
Spouse |
Relative |
Nonrelative |
Alone |
Men |
58 |
7 |
27 |
8 |
Women |
57 |
6 |
26 |
11 |
5) A vending machine company wants to check three of its machines to determine if they are properly dispensing 12 ounces of coffee. Their data is given below.
Is there a significant difference between the vending machines A, B, and C? Use
![**Vending Machine Coffee Dispensing Analysis**
A vending machine company wants to check three of its machines to determine if they are properly dispensing 12 ounces of coffee. The data collected from the machines is given below:
| | Machine A | Machine B | Machine C |
|--------|-----------|-----------|-----------|
| **1** | 11.8 | 11.7 | 12.2 |
| **2** | 12.1 | 11.9 | 12.1 |
| **3** | 12.0 | 11.7 | 12.0 |
| **4** | 11.9 | 11.8 | 11.9 |
| **5** | 12.1 | 12.0 | 12.2 |
The company wants to determine if there is a significant difference between the vending machines A, B, and C. They will use a significance level of α = 0.05 for this analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc86f1347-29c0-441f-8ce9-d8284e198b6c%2Fe8505e0b-73cc-4d37-91cd-3f0ab2333681%2F1mc5n6o_processed.png&w=3840&q=75)
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