50 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?