SampHe Exaxmixnati*rs Six - La Jolla High School
SampHe Exaxmixnati*rs Six - La Jolla High School
SampHe Exaxmixnati*rs Six - La Jolla High School
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Section I Sample Examination <strong>Six</strong><br />
22' The mean of a set of'data is 40 pounds and the standard deviation is 8 pounds. What<br />
value of an observation corresponds to a z-score of _1.25?<br />
(A) -30<br />
(B) -s0<br />
(c) 30<br />
(D) 32<br />
(E) 50<br />
23. Suppose you select a random sample of size 5 from a normal distribution with unknown<br />
mean /l and unknown variance 02. The null hypothesis Ho:/t=65 is to be tested<br />
against the alternative hypothesis Hu:H#65 atrr,= 0.05. If the resulting sample mean<br />
is 68'25 and s2 = 9, what is the value of the appropriate test statistic and the conclusion?<br />
(A) 1.96; reject Ho<br />
(B) 2. 132; reject Ho<br />
(C) 2.132; do not reject Ho<br />
(D) 2.a2; reject Ho<br />
(\ 2.a2; do not reiect Ho<br />
24. A die was rolled 24 times with the followins results:<br />
Number of dots I 2<br />
a<br />
J 4 5 6<br />
Frequency 2 8 2 J 8<br />
A goodness-of-fit chi-square test is to be used to test the null hypothesis that the die is<br />
fair. At a significance level of d =.01, the value of chi-square and the decision reached is<br />
(A) 12.5; do not reject the null hypothesis<br />
(B) 12.5; reject the null hypothesis<br />
(C) 25.0; do not reject the null hypothesis<br />
(D) 25.0; reject the null hypothesis<br />
(E) 75.5; reject the null hypothesis<br />
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Answer<br />
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