1) For the following hypothesis: With n = 20, = 71.2, s = 6.9, and = 0.1, state the conclusion.

	Because the computed value of t = 0.78 is not greater than 2.1727, do not reject the null hypothesis.
	Because the computed value of t = 0.78 is not greater than 1.3277, do not reject the null hypothesis.
	Because the computed value of t = 0.78 is not greater than 2.1727, reject the null hypothesis.
	Because the computed value of t = 0.78 is not greater than 1.3277, reject the null hypothesis.

2 ) Archer Daniels Midland is a global food processing and commodities trading corporation headquartered in Chicago, IL. Operations manager promise their customers that they can fulfill a customers order in 10 days or less on the average. Periodically, the operations manager selects a random sample of customer orders and determines the number of days required to fill the orders. Based on this sample information, he decides if the desired standard is not being met. He will assume that the average number of days to fulfill customers' orders is 10 days or less unless the data suggest strongly otherwise. Establish the appropriate null and alternative hypotheses.

	H0 : 10 days Ha : > 10 days
	H0 : > 10 days Ha : 10 days
	H0 : 10 days Ha : < 10 days
	H0 : < 10 days Ha : 10 days

3) Nestl Purina PetCare, a pet food company, believes that it has a market share of 25 percent. The company operations manager surveys 100 (n) cat owners and if they prefer Nestl over other cat food companies. The appropriate null and alternate hypotheses are:

	H0 : p = .25 Ha : p .25
	H0 : = .25 Ha : .25
	H0 : = .25 Ha : .25
	H0 : p .25 Ha : p > .25

4) MIT lab works on a wearable sensor that monitors health. According to their research, that at least 70 percent of the people who have used the wearable achieved a better health. A random sample of n = 100 wearable users was selected to test this. The critical value for the hypothesis test using a significance level of 0.05 would be approximately -1.645.

	True
	False

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5) At Olive Garden the restaurant manager assumes that the mean gratitude is at least $15. To challenge his assumption, he randomly selects 60 bills. State the appropriate null and alternative hypotheses.

	H0 : 15 Ha : < 15
	H0 : 9 Ha : > 9
	H0 : 9 Ha : < 9
	H0 : 15 Ha : > 15

6) At Amazon fulfillment center, the operations manager believes that the average part time workers' hours per week exceeds 20 hours. A random sample of 20 workers selected. The table below shows the hours worked for part time workers:

26	15	10	40
10	20	30	36
40	0	5	10
20	32	16	12
40	36	10	0

The operations manager wants to use 0.05 significance level (alpha). Based on these sample data, the critical value expressed in hours:

	is approximately equal to 25.26 hours.
	is approximately equal to 25.0 hours.
	cannot be determined without knowing the population standard deviation.
	is approximately 22 hours.