(a)Write the null and the alternative hypothesis for the difference between the two samples.

(b)The t-value and the p-value from the Minitab output.

(c)According to the p-value, should you reject or not reject the null hypothesis if you use 0.05 significance level?

(d)Write a complete sentence that restates the hypothesis and your conclusion, including the p-value and the significance level.

(e)What is the probability of a Type 1 error for this test and explain what a Type 1 error would be in the contest of this test.

Below are the values that are needed to answer the questions above

(a)Using Minitab, create two 90% confidence intervals for the mean pulse rate. One for the morning sample and one for the evening sample.Include in your post:

1.Confidence intervals

a.Morning

Descriptive Statistics

Null - 16

Mean - 72.25

StDev - 9.74

SE Mean - 2.44

90% CI for - (67.98, 76.52)

: population mean of Sample

b.Evening

Descriptive Statistics

Null - 16

Mean - 77.69

StDev - 10.97

SE Mean - 2.74

90% CI for - (72.88, 82.50)

: population mean of Sample

confidence intervals are -

Morning: 67.98, - 76.52

Evening: 72.88, - 82.50

Do these intervals overlap?

oYes

What information can or cannot be determined if the intervals overlapped or didn't overlap?

oI think the pulse rates from evening and morning were pretty close together. For example, when I took mine the am and pm they were similar and I even questioned it, but I mean they were both resting pulse rates.

(b) Conduct a hypothesis test to test the claim that the mean morning pulse rate is 60 bpm. Include the following in your post.

Morning

Test

Null hypothesis

H: = 60

Alternative hypothesis

H: 60

T-Value - 5.03

P-Value - 0.000

Evening

Test

Null hypothesis

H: = 60

Alternative hypothesis

H: 60

T-Value - 6.45

P-Value - 0.000

• Write the null and alternative hypotheses

H: = 60

H: 60

What are the t- and p-values

Morning: t-value- 5.03 - p-value- 0.000

Evening: t-value-6.45 - p-value- 0.000

According to the p-value, should you reject or not reject the null hypothesis if you use a 0.05 significance level?

oThe null hypothesis should reject in the end, because the p-value shows less than 0.05

Write a complete sentence that restated the hypothesis and your conclusion, including the p-value and the significance level.

oThe mean for the AM would be 60, because the p-value of 0.000 is less than 0.05

What is the probability of a Type I error for this test and explain what a Type I error would be in the context of this test

oSignificance level of a would be the same as the probability of making a type 1 error