MATH 227 STATISTICS FINAL EXAM - West Los Angeles College

65. The Central Limit Theorem predicts that
a. the sampling distribution of µ _ will be approximately normal for reasonably large samples.
x
_
b. the sampling distribution of x will be approximately normal for reasonably large samples.
_
c. the mean of the sampling distribution of x will tend to be close to µ for reasonably large
samples.
d. the mean of the sampling distribution of µ _ will tend to be close to µ for reasonably large
x
samples.
For problems 66 through 69, determine the form of the test statistic in each
hypothesis test situation. Assume the correct answer corresponds to classroom
discussion.
66. The mean GPA of West Los Angeles College football players is less than 2.3. Assume n=15
and GPAs are normally distributed.
2
a) z (standard Normal) b) t c) χ d) F e.) λ
67. The heart rate for second born identical twins are different than the heart rate for first born
identical twins. The sample consists of 90 pairs of twins.
2
a) z (standard Normal) b) t c) χ d) F e.) λ
68. The standard deviation for the volume of Odwalla soda is greater than 0.03 ounces.
2
a) z (standard Normal) b) t c) χ d) F e.) λ
69. Whether occupation is independent of religious belief, using a 2-way contingency table.
2
a) z (standard Normal) b) t c) χ d) F e.) λ
10