Math  /  Data & Statistics

QuestionC9 Q2 V3 The Excel file STATISTICSSTUDENTSSURVEYFORR contains the column BEFPULSEMIN (a numerical variable that measures student pulses before completing an online survey). For education purposes, consider this dataset to be a sample of size 60 taken from a much larger population for statistics students. You test, with a significance level of 0.002 , whether there is significant evidence that the average beats per minute for the population exceeds 71.75 beats per minute. Choose the most correct statement. a. You test Ho: μ<71.75\mu<71.75 versus Ha : μ>71.75\mu>71.75 and you obtain a p-value of 0.0004356 and the result is not significant b. You test Ho: μ>=71.75\mu>=71.75 versus Ha: μ<71.75\mu<71.75 and you obtain a p-value of 0.9996 and the result is not significant c. You test Ho: μ<=71.75\mu<=71.75 versus Ha: μ>71.75\mu>71.75 and you obtain a pvalue of 0.0004356 and the result is significant d. You test Ho: μ<=71.75\mu<=71.75 versus Ha: μ>71.75\mu>71.75 and you obtain a p-value of 0.0008713 and the result is not significant

Studdy Solution

STEP 1

1. The sample size is 60.
2. The null hypothesis H0 H_0 and the alternative hypothesis Ha H_a need to be correctly identified.
3. The significance level is α=0.002 \alpha = 0.002 .
4. The test is a one-sample t-test for the mean.

STEP 2

1. Identify the correct hypotheses.
2. Compare the p-value to the significance level.
3. Determine the significance of the result.

STEP 3

Identify the correct hypotheses for the test. Since we are testing whether the average beats per minute for the population exceeds 71.75, the hypotheses should be:
- Null hypothesis H0:μ71.75 H_0: \mu \leq 71.75 - Alternative hypothesis Ha:μ>71.75 H_a: \mu > 71.75

STEP 4

Compare the p-value to the significance level. The p-value given in option (c) is 0.0004356.

STEP 5

Since the p-value 0.0004356 is less than the significance level 0.002, we reject the null hypothesis.

STEP 6

Determine the significance of the result. Since the p-value is less than the significance level, the result is significant.
The most correct statement is:
c. You test Ho: μ71.75\mu \leq 71.75 versus Ha: μ>71.75\mu > 71.75 and you obtain a p-value of 0.0004356 and the result is significant.

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