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problem_set.pdf
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Exercise 7.7.6
Suppose that the weight of open boxes of cereal in a home with children is uniformly
distributed from 2 to 6 pounds. We randomly survey 64 homes with children.
a. In words, X = b. X~
c. µX =
d. σX =
e. In words, ΣX =
f. ΣX~
g. Find the probability that the total weight of open boxes is less than 250 pounds. h.
Find the 35th percentile for the total weight of open boxes of cereal.
Exercise 8.9.8
A pharmaceutical company makes tranquilizers. It is assumed that the distribution for
the length of time they last is approximately normal. Researchers in a hospital used the
drug on a random sample of 9 patients. The effective period of the tranquilizer for each
patient (in hours) was as follows: 2.7; 2.8; 3.0; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4 .
a. i. x = ________
ii. sx = ________
iii. n = ________
iv. n−1=________
b. Define the Random Variable X, in words.
c. Define the Random Variable X, in words.
d. Which distribution should you use for this problem? Explain your choice. e. Construct
a 95% confidence interval for the population mean length of time.
i. State the confidence interval. ii. Sketch the graph.
iii. Calculate the error bound.
f. What does it mean to be “95% confident” in this problem?
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