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.

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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.
Transcribed Image Text:**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.
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