Thuy Dau, Ngoc Bui, Sam Su, and Lan Voung conducted a survey as to how long customers at Lucky claimed to waft in the checkout line until their turn. Let X time in line. Table 6.3 displays the ordered real data (In minutes): Table 6.3 a. Calculate the sample mean and the sample standard deviation. b. Construct a histogram. c. Draw a smooth curve through the midpoints of the tops of the bars. d. In words, describe the shape of your histogram and smooth curve. e. Let the sample mean approximate p and the sample standard deviation approximate a. The distribution of X can then be approximated by X ∼ ________________) f. Use the distribution in part e to calculate the probability that a person will wait fewer than 6.1 minutes. g. Determine the cumulative relative frequency f waiting less than 6.1 minutes. h. Why aren’t the answers to pan f and part g exactly the same? j, Why are the answers to part f and part g as close as they are? j. If only ten customers has been surveyed rather than 50, do you think the answers to part f and part g would have been closer together or farther apart? Explain vow conclusion. 0.50 4.25 5 6 7.25 1.75 4.25 5.25 6 7.25 2 4.25 5.25 6.25 7.25 2.25 4.25 5.5 6.25 7.75 2.25 4.5 5.5 6.5 8 2.5 4.75 5.5 6.5 8.25 2.75 4.75 5.75 6.5 9.5 3.25 4.75 5.75 6.75 9.5 3.75 5 6 6.75 9.75 3.75 5 6 6.75 10.75
Thuy Dau, Ngoc Bui, Sam Su, and Lan Voung conducted a survey as to how long customers at Lucky claimed to waft in the checkout line until their turn. Let X time in line. Table 6.3 displays the ordered real data (In minutes): Table 6.3 a. Calculate the sample mean and the sample standard deviation. b. Construct a histogram. c. Draw a smooth curve through the midpoints of the tops of the bars. d. In words, describe the shape of your histogram and smooth curve. e. Let the sample mean approximate p and the sample standard deviation approximate a. The distribution of X can then be approximated by X ∼ ________________) f. Use the distribution in part e to calculate the probability that a person will wait fewer than 6.1 minutes. g. Determine the cumulative relative frequency f waiting less than 6.1 minutes. h. Why aren’t the answers to pan f and part g exactly the same? j, Why are the answers to part f and part g as close as they are? j. If only ten customers has been surveyed rather than 50, do you think the answers to part f and part g would have been closer together or farther apart? Explain vow conclusion. 0.50 4.25 5 6 7.25 1.75 4.25 5.25 6 7.25 2 4.25 5.25 6.25 7.25 2.25 4.25 5.5 6.25 7.75 2.25 4.5 5.5 6.5 8 2.5 4.75 5.5 6.5 8.25 2.75 4.75 5.75 6.5 9.5 3.25 4.75 5.75 6.75 9.5 3.75 5 6 6.75 9.75 3.75 5 6 6.75 10.75
Thuy Dau, Ngoc Bui, Sam Su, and Lan Voung conducted a survey as to how long customers at Lucky claimed to waft in the checkout line until their turn. Let X time in line. Table 6.3 displays the ordered real data (In minutes):
Table 6.3
a. Calculate the sample mean and the sample standard deviation.
b. Construct a histogram.
c. Draw a smooth curve through the midpoints of the tops of the bars.
d. In words, describe the shape of your histogram and smooth curve.
e. Let the sample mean approximate p and the sample standard deviation approximate a. The distribution of X can then be approximated by X
∼
________________)
f. Use the distribution in part e to calculate the probability that a person will wait fewer than 6.1 minutes.
g. Determine the cumulative relative frequency f waiting less than 6.1 minutes.
h. Why aren’t the answers to pan f and part g exactly the same?
j, Why are the answers to part f and part g as close as they are?
j. If only ten customers has been surveyed rather than 50, do you think the answers to part f and part g would have been closer together or farther apart? Explain vow conclusion.
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