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
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
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '10
 samaniego
 Statistics, Normal Distribution, Standard Deviation, Carnegie High

Click to edit the document details