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[answered] 1)State the type of hypothesis test to be used in the follo


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1)State the type of hypothesis test to be used in the following situation:

 

A national computer retailer believes that the average sales are greater for salespersons with a college degree. A random sample of

 

34 salespersons with a degree had an average weekly sale of $3542

 

last year, while 37 salespersons without a college degree averaged $3301 in weekly sales. The standard deviations were $468 and $642 respectively. Is there evidence to support the retailer's belief? a) One Sample Z Test for Proportions

 

b) Two Sample T Test for Means

 

c) ?2 Test for Independence

 

d) Matched Pairs T Test

 

e) One Sample T Test for Means

 

f) Two Sample Z Test for Proportions

 

g) One Sample Z Test for Means

 

h) ?2 Goodness of Fit Test

 

Review Later Question 2

 

State the type of hypothesis test to be used in the following situation: Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a nutritionist analyzed the percentage of saturated fat for a sample of 6 brands of stick margarine (solid fat) and for a sample of 6 brands of liquid margarine and obtained the following results: 25.8 26.9 26.2 25.3 26.7 26.1 Stick Liquid 16.9 17.4 16.8 16.2 17.3 16.8 Is there a significant difference in the average amount of saturated fat in solid and liquid fats? Assume the population is normally distributed. a) Two Sample T Test for Means

 

b) ?2 Goodness of Fit Test

 

c) Two Sample Z Test for Proportions

 

d) ?2 Test for Independence

 

e) Matched Pairs T Test

 

f) One Sample T Test for Means

 

g) One Sample Z Test for Proportions

 

h) One Sample Z Test for Means

 

Review Later Question 3

 

State the type of hypothesis test to be used in the following situation: In a certain city, there are about one million eligible voters. A simple random sample of size 10,000 was chosen to study the relationship between gender and participation in the last election. The results were: Men Women Voted 2792 3591 Didn't Vote

 

1486 2131 Does there appear to be a relationship between gender and participation in the last election? a) Two Sample Z Test for Proportions b) One Sample Z Test for Means

 

c) ?2 Test for Independence

 

d) One Sample Z Test for Proportions

 

e) One Sample T Test for Means

 

f) ?2 Goodness of Fit Test

 

g) Two Sample T Test for Means

 

h) Matched Pairs T Test Review Later Question 4

 

In a certain city, there are about one million eligible voters. A simple random sample of size 10,000 was chosen to study the relationship between gender and participation in the last election. The results were: Men Women Voted 2711 3777 Didn't Vote

 

1677 1835 If we are testing for a relationship between gender and participation in the last election, what is the test statistic? a) ?2 = 32.931

 

b) z = ?16.207

 

c) ?2 = 19.466

 

d) ?2 = 49.397

 

e) z = ?2.937

 

Review Later Question 5

 

In a certain city, there are about one million eligible voters. A simple random sample of size 10,000 was chosen to study the relationship between gender and participation in the last election. The results were: Men Voted 2677 Didn't Vote

 

1733 Women 3533

 

2057 If we are testing for a relationship between gender and participation in the last election, what is the p?value and decision at

 

the 5% significance level? Select the [p?value, Decision to Reject (RH0) or Failure to Reject (FRH0)] a) [p?value = 0.088, RH0]

 

b) [p?value = 0.011, RH0]

 

c) [p?value = 0.005, RH0]

 

d) [p?value = 0.011, FRH0]

 

e) [p?value = 0.088, FRH0] Review Later Question 6

 

The Blue Diamond Company advertises that their nut mix contains

 

(by weight) 40% cashews, 15% Brazil nuts, 20% almonds and only

 

25% peanuts. The truth?in?advertising investigators took a random sample (of size 20 lbs) of the nut mix and found the distribution to be as follows: 5 lbs of Cashews, 5 lbs of Brazil nuts, 7 lbs of Almonds and 3 lbs of Peanuts. At the 0.05 level of significance, is the claim made by Blue Diamond true?

 

Select the [p?value, Decision to Reject (RH0) or Failure to Reject (FRH0)]. a) [p?value = 0.019, RH0]

 

b) [p?value = 0.069, RH0]

 

c) [p?value = 0.138, FRH0] d) [p?value = 0.138, RH0]

 

e) [p?value = 0.019, FRH0]

 

Review Later Question 7

 

Quart cartons of milk should contain at least 32 ounces. A sample of 20 cartons contained the following amounts in ounces. Does sufficient evidence exist to conclude the mean amount of milk in cartons is less than 32 ounces at the 5% significance level?

 

The data is: (27.3, 28.4, 31.1, 31.5, 28.9, 28.3, 32.2, 32.8, 32.6, 31.4, 27.3, 32.2, 32.8, 31.2, 28.9, 31.3, 32.2, 28.2, 32.1, 31.8)

 

Select the [p?value, Decision to Reject (RH0) or Failure to Reject (FRH0)]. a) [p?value = 0.998, RH0]

 

b) [p?value = 0.998, FRH0]

 

c) [p?value = 0.001, RH0]

 

d) [p?value = 0.002, FRH0]

 

e) [p?value = 0.002, RH0] Review Later Question 8

 

Hippocrates magazine states that 34 percent of all Americans take multiple vitamins regularly. Suppose a researcher surveyed 750 people to test this claim and found that 262 did regularly take a multiple vitamin. Is this sufficient evidence to conclude that the actual percentage is different from 34% at the 5% significance level?

 

Select the [p?value, Decision to Reject (RH0) or Failure to Reject (FRH0)]. a) [p?value = 0.295, RH0]

 

b) [p?value = 0.589, FRH0]

 

c) [p?value = 0.639, FRH0] d) [p?value = 0.589, RH0]

 

e) [p?value = 0.295, FRH0]

 

Review Later Question 9

 

A national computer retailer believes that the average sales are greater for salespersons with a college degree. A random sample of

 

35 salespersons with a degree had an average weekly sale of $3688

 

last year, while 32 salespersons without a college degree averaged $3311 in weekly sales. The standard deviations were $468 and $642 respectively. Is there evidence at the 5% level to support the retailer's belief?

 

Select the [p?value, Decision to Reject (RH0) or Failure to Reject (FRH0)]. a) [p?value = 0.015, RH0]

 

b) [p?value = 0.003, RH0]

 

c) [p?value = 0.005, RH0]

 

d) [p?value = 0.015, FRH0]

 

e) [p?value = 0.005, FRH0] Review Later Question 10

 

The community hospital is studying its distribution of patients. A random sample of 326 patients presently in the hospital gave the following information: Old Rate of Occurrences Present Number of Occurrences Type of Patient Maternity Ward 20%

 

77 Cardiac Ward 32%

 

92 Burn Ward 10%

 

31 Children's Ward

 

15%

 

51 All Other Wards 23%

 

75 Test the claim at the 5% significance level that the distribution of patients in these wards has not changed.

 

Select the [p?value, Decision to Reject (RH0) or Failure to Reject (FRH0)]. a) [p?value = 0.440, RH0]

 

b) [p?value = 0.053, FRH0]

 

c) [p?value = 0.053, RH0]

 

d) [p?value = 0.440, FRH0]

 

e) [p?value = 0.220, RH0] Review Later Question 11

 

In a experiment on relaxation techniques, subject's brain signals were measured before and after the relaxation exercises with the following results: Person 1 2 3 4 5 Before 37.8 41.4 37.3 38.9 38.8 38.8 37.5 35.2 39.9 34.6 After Is there sufficient evidence to suggest that the relaxation exercise slowed the brain waves? Assume the population is normally distributed.

 

Select the [p?value, Decision to Reject (RH0) or Failure to Reject (FRH0)]. a) [p?value = 0.111, FRH0]

 

b) [p?value = 0.222, RH0] c) [p?value = 0.111, RH0]

 

d) [p?value = 0.222, FRH0]

 

e) [p?value = 0.056, RH0]

 


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