The claim is that the pulse rate for women is less than 65 beats/minute. A rando

ID: 3325159 • Letter: T

Question

The claim is that the pulse rate for women is less than 65 beats/minute. A random sample of 31 women was taken and the following results were recorded:

78 80 68 56 76 78 78 90 96 60 98 66 100 76 64 83 62 72 78 74 90 90 68 72 82 72 78 86 98 66 73

Use a 0.01 significance level to test the claim that the pulse rate for women is less than 65 beats/minute (Use Minitab,3 points) Part 4 continued on next page. Part 4 continued. 1. Input your data in C1. 2. Click Stat in the top menu. 3. Select Basic Statistics from the dropdown menu and select 1 – Sample t from the submenu. 4. Using sample data: Select one or more samples, each in a column, from the drop down menu and click on the desired data column. 5. Click the Perform Hypothesis Test box and enter the mean used in the null hypothesis. 6. Click the Options button and enter the confidence level. For example, enter 95.0 for a significance level of 0.05. 7. For Alternative Hypothesis, select the format used for the alternative hypothesis. 8. Click OK twice. Questions to answer: 1. State your decision and how you arrived at it. (5 points) 2. State your conclusion that addresses the original claim. (5 points) 3. Determine the type of error you could have made (Type I or Type II). Explain what this means in terms of your data. (5 points) (If you made that error, what would it mean in terms of your decision)?

Explanation / Answer

Result:

The claim is that the pulse rate for women is less than 65 beats/minute. A random sample of 31 women was taken and the following results were recorded:

78 80 68 56 76 78 78 90 96 60 98 66 100 76 64 83 62 72 78 74 90 90 68 72 82 72 78 86 98 66 73

One-Sample T: pulse rate

Descriptive Statistics

Mean

StDev

SE Mean

95% Upper Bound
for

77.68

11.62

2.09

81.22

: mean of pulse rate

Test

Null hypothesis

H: = 65

Alternative hypothesis

H: < 65

T-Value

P-Value

6.07

1.000

1. State your decision and how you arrived at it. (5 points)

Calculated t=6.07, P=1.0 which is > 0.05 level of significance.

Ho is not rejected.

2. State your conclusion that addresses the original claim. (5 points)

There is not sufficient evidence to support the claim that the pulse rate for women is less than 65 beats/minute.

3. Determine the type of error you could have made (Type I or Type II). Explain what this means in terms of your data. (5 points) (If you made that error, what would it mean in terms of your decision)?

Type II error.

Type II error is the pulse rate for women is actually less than 65 beats/minute but we conclude that it is more .