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newbuddy newbuddy
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Posts: 356
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6 years ago
The U.S. Bureau of Labor Statistics (www.bls.gov) released its Consumer Expenditures report in October 2008. Among its findings is that average annual household spending on food at home was 3,624.
 
  Suppose a random sample of 137 households in Detroit was taken to determine whether the average annual expenditure on food at home was less for consumer units in Detroit than in the nation as a whole. The sample results are in the file Detroit Eats. Based on the sample results, can it be concluded at the  = 0.02 level of significance that average consumer-unit spending for food at home in Detroit is less than the national average?A) Because t = -13.2314 is less than the critical t value of -1.4126, do not reject H0.
  The annual average consumer unit spending for food at home in Detroit is not less than the 2006 national consumer unit average
  B) Because t = -13.2314 is less than the critical t value of -1.4126, reject H0.
  The annual average consumer unit spending for food at home in Detroit is less than the 2006 national consumer unit average
  C) Because t = -15.7648 is less than the critical t value of -2.0736, do not reject H0.
  The annual average consumer unit spending for food at home in Detroit is not less than the 2006 national consumer unit average.
  D) Because t = -15.7648 is less than the critical t value of -2.0736, reject H0.
  The annual average consumer unit spending for food at home in Detroit is less than the 2006 national consumer unit average.

Q. 2

At a recent meeting, the manager of a national call center for a major Internet bank made the statement that the average past-due amount for customers who have been called previously about their bills is now no larger than 20.00.
 
  Other bank managers at the meeting suggested that this statement may be in error and that it might be worthwhile to conduct a test to see if there is statistical support for the call center manager's statement. The file called Bank Call Center contains data for a random sample of 67 customers from the call center population. Assuming that the population standard deviation for past due amounts is known to be 60.00, what should be concluded based on the sample data? Test using  = 0.10.A) Because p-value = 0.4121 > alpha = 0.10, we do not reject the null hypothesis.
  The sample data do not provide sufficient evidence to reject the call center manager's statement that the mean past due amount is 20.00 or less.
  B) Because p-value = 0.4121 > alpha = 0.10, we reject the null hypothesis.
  The sample data provide sufficient evidence to reject the call center manager's statement that the mean past due amount is 20.00 or less.
  C) Because p-value = 0.2546 > alpha = 0.10, we do not reject the null hypothesis.
  The sample data do not provide sufficient evidence to reject the call center manager's statement that the mean past due amount is 20.00 or less.
  D) Because p-value = 0.2546 > alpha = 0.10, we reject the null hypothesis.
  The sample data provide sufficient evidence to reject the call center manager's statement that the mean past due amount is 20.00 or less.

Q. 3

The U.S. Census Bureau (Annual Social & Economic Supplement) collects demographics concerning the number of people in families per household. Assume the distribution of the number of people per household is shown in the following table:
 
  x P(x)
  2 0.27
  3 0.25
  4 0.28
  5 0.13
  6 0.04
  7 0.03
 
  Calculate the expected number of people in families per household in the United States.
  A) 2.71
  B) 3.33
  C) 3.51
  D) 4.33

Q. 4

In a local community there are three grocery chain stores. The three have been carrying out a spirited advertising campaign in which each claims to have the lowest prices.
 
  A local news station recently sent a reporter to the three stores to check prices on several items. She found that for certain items each store had the lowest price. This survey didn't really answer the question for consumers. Thus, the station set up a test in which 20 shoppers were given different lists of grocery items and were sent to each of the three chain stores. The sales receipts from each of the three stores are recorded in the data file Groceries.Based on a significance level of 0.05 and these sample data, test to determine whether blocking was necessary in this example. Use a test-statistic approach.A) Since 952.6155 > 1.8673 do not reject H0 and conclude that there is an indication that blocking was not effective.
  B) Since 952.6155 > 1.8673 reject H0 and conclude that there is an indication that blocking was effective.
  C) Since 102.2912 > 1.8673 do not reject H0 and conclude that there is an indication that blocking was not effective.
  D) Since 102.2912 > 1.8673 reject H0 and conclude that there is an indication that blocking was effective.

Q. 5

The roll of a pair of dice has the following probability distribution, where the random variable is the sum of the values produced by each die:
 
  x P(x)
  2 1/36
  3 2/36
  4 3/36
  5 4/36
  6 5/36
  7 6/36
  8 5/36
  9 4/36
  10 3/36
  11 2/36
  12 1/36
 
  Calculate the variance of x.
  A) 5.833
  B) 6.122
  C) 5.666
  D) 5.122
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MaplesMaples
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6 years ago
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newbuddy Author
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6 years ago
Thanks for your help!!
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Yesterday
Thanks
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2 hours ago
this is exactly what I needed
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