Statistics 13C
Homework # 5
For discussion, Tues, 10/28/08
F. J. Samaniego
From the text: Chap. 7: Problems (dealing with μ) # 25, 33, 63. All the
following problems deal with confidence intervals for a population mean μ.
Chap. 8: Problems # 23, 27, 28, 29, 31, 37. Chap. 10: Problems: # 1, 8, 11.
Also, solve the following problems:
1.
Let X be the number of servings that a randomly chosen meal card holder
will have for dinner at Segundo Dining Commons. The manager at Segundo
has noticed that X has the distribution
X
0
1
2
3
P(X)
1/6
1/6
1/6
1/2
Approximate the probability that 96 random meal card holders will consume
at least 200 servings, that is, approximate P(
X
≥ 2.0833). (Hint: Evaluate μ
& σ
2
for the distribution above and apply the Central Limit Theorem to
X
.)
2.
The national mean score on the SAT test (including verbal, quantitative
and written parts) seems to vary from year to year, so that last year’s mean
score is not a reliable predictor of this year’s mean score. Anyway, these
means would be inapplicable to students at Carnegie High in Pittsburgh, a
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 Spring '10
 samaniego
 Statistics, Normal Distribution, Standard Deviation, Carnegie High

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