Consider another sample of 134 adults, the average (mean) reported hours of sleep is 6.7, with standard deviation 1.39.Is there evidence that American Adults sleep less than 7 hours? Use=0.05.Repeat steps 1 thru 5notice the change in the t-value and thep-value and hence the conclusion.

51.The world Economic Forum reports that New Zealanders are the longest sleepers.A sample of 150 New Zealanders revealed that average (mean) reported hours of sleep is 7.5, with standard deviation 1. 4.Is there evidence that NewZealanderssleeplongerthan 7 hours?

Step 1

(a)Formulate the Null and alternate hypothesis:(useOne-sided test (right))

(b)Step 2:=0.05

(c)Step 3 and Step 4:Minitab> Stat >Basic Statistics >1-sample t> Summarized data>Sample size> 150> Sample mean 7.5>Standard deviation>1.4> Select "Perform Hypothesis test> hypothesized mean> 7> Click Options> Alternative Hypothesis: Mean> hypothesized mean>OK>OK

(d)Copy Minitab output below:

Based on the Minitab output:

(e)T-value=(f)p-value=

Step 5

(g)Is the p-value< 0.05? (yes or no)

(h)Is the null hypothesis rejected?

(i)Does the data represent sufficient evidence to support the claim thatNew Zealanderssleeplongerthan 7 hours?

4.3.4 Decision Errors:

52.Complete the table below:

Reality

Test Consideration

Fail to Reject H0

Fail to Reject H0

H0True

HATrue

(a)What does Type 1Error represent?

(b)What does Type 2 Error represent?

53.In a trial the defendant is either innocent (H0) or guilty (Ha).After hearing from both the prosecution and the defense the court must reach a verdict.

(a)What does Type 1 error represent in this context?

(b)What does Type 2 error represent in this context?

54.The probability of ______________is the same as the significance level.

2