The following data are the amounts that a sample of 15 customers spent for lunch ($) at a fast-food restaurant. Complete parts (a) through (d) below. 7.38 6.34 5.83 6.53 8.41 9.47 7.11 6.80 5.91 O 4.85 6.54 5.49 7.90 8.35 9.68 a. Construct a 95% confidence interval estimate for the population mean amount spent t lunch (S) at a fast-food restaurant. (Round to two decimal places as needed. Do not include the $ symbol in your answer.) b. Interpret the interval constructed in (a). Choose the correct answer below. O A. The mean amounts in dollars spent for lunch at the fast-food restaurant of 95% of all samples of the same size are contained in the interval. O B. 95% of the sample data fall between the limits of this confidence interval. OC. Conclude with 95% confidence that the mean amount in dollars spent for lunch at the fast-food restaurant for the sample is contained in the interval. O D. Conclude with 95% confidence that the population mean amount in dollars spent for lunch at the fast-food restaurant is contained in the interval. c. What assumption must you make about the population distribution in order to construct the confidence interval estimate in (a)? O A. The population distribution is normally distributed. O B. The population distribution is skewed right. O C. The population distribution is skewed left. O D. The population distribution is uniformly distributed. d. Do you think that the assumption needed in order construct the confidence interval estimate in (a) is valid? Explain. The assumption is V for n= since

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The following data are the amounts that a sample of 15 customers spent for lunch ($) at a fast-food restaurant. Complete parts (a) through (d) below.
7.38
6.34
5.83
6.53
8.41
9.47
7.11
6.80
5.91 O
4.85
6.54
5.49
7.90
8.35
9.68
a. Construct a 95% confidence interval estimate for the population mean amount spent for lunch ($) at a fast-food restaurant.
(Round to two decimal places as needed. Do not include the $ symbol in your answer.)
b. Interpret the interval constructed in (a). Choose the correct answer below.
O A. The mean amounts in dollars spent for lunch at the fast-food restaurant of 95% of all samples of the same size are contained in the interval.
O B. 95% of the sample data fall between the limits of this confidence interval.
O C. Conclude with 95% confidence that the mean amount in dollars spent for lunch at the fast-food restaurant for the sample is contained in the interval.
OD.
Conclude with 95% confidence that the population mean amount in dollars spent for lunch at the fast-food restaurant is contained in the interval.
c. What assumption must you make about the population distribution in order to construct the confidence interval estimate in (a)?
O A. The population distribution is normally distributed.
O B. The population distribution is skewed right.
OC.
The population distribution is skewed left.
O D. The population distribution is uniformly distributed.
d. Do you think that the assumption needed in order to construct the confidence interval estimate in (a) is valid? Explain.
The assumption is
v for n =since
Transcribed Image Text:The following data are the amounts that a sample of 15 customers spent for lunch ($) at a fast-food restaurant. Complete parts (a) through (d) below. 7.38 6.34 5.83 6.53 8.41 9.47 7.11 6.80 5.91 O 4.85 6.54 5.49 7.90 8.35 9.68 a. Construct a 95% confidence interval estimate for the population mean amount spent for lunch ($) at a fast-food restaurant. (Round to two decimal places as needed. Do not include the $ symbol in your answer.) b. Interpret the interval constructed in (a). Choose the correct answer below. O A. The mean amounts in dollars spent for lunch at the fast-food restaurant of 95% of all samples of the same size are contained in the interval. O B. 95% of the sample data fall between the limits of this confidence interval. O C. Conclude with 95% confidence that the mean amount in dollars spent for lunch at the fast-food restaurant for the sample is contained in the interval. OD. Conclude with 95% confidence that the population mean amount in dollars spent for lunch at the fast-food restaurant is contained in the interval. c. What assumption must you make about the population distribution in order to construct the confidence interval estimate in (a)? O A. The population distribution is normally distributed. O B. The population distribution is skewed right. OC. The population distribution is skewed left. O D. The population distribution is uniformly distributed. d. Do you think that the assumption needed in order to construct the confidence interval estimate in (a) is valid? Explain. The assumption is v for n =since
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