____ 1.- Is there evidence that the mean number of points scored per game by the

Question

____ 1.- Is there evidence that the mean number of points scored per game by the basketball team of our high school is greater than 31 (the question refers in general to the high school basketball team and not just the one this year)? Out of a sample of ten games, the mean was 31.1. The standard deviation for the population is 2.3. If we would calculate a significance test to answer this question, the correct hypotheses would be:

a. Ho: x_bar=31.1 Ha: x_bar>31.

b. Ho: µ=31.1 Ha: µ>31.

c. Ho: x_bar=31 Ha: x_bar>31.

d. Ho: µ=31 Ha: µ>31.

____ 2.- Is there evidence that the mean number of points scored per game by the basketball team of our high school is greater than 31 (the question refers in general to the high school basketball team and not just the one this year)? Out of a sample of ten games, the mean was 31.1. The standard deviation for the population is 2.3. If we would calculate a significance test to answer this question, the test statistic would be:

z=(31-31.1)/(2.3).

z=(31.1-31)/(2.3).

z=(31.1-31)/(2.3/sqrt(10)).

z=(31-31.1)/(2.3/sqrt(10)).

____ 3.- A two-sided significance test with a test statistic z=1.72 would have a P-value:

P(Z>1.72)=0.0427.

P(Z>1.72)=P(Z<(1-1.72))=P(Z<-0.72)=0.2358.

2*P(Z>|1.72|)=0.0854.

2*P(Z>|1.72|)=0.4716.

Explanation / Answer

1. Correct Hypotheses: Ho: µ=31 Ha: µ>31

Option D is correct.

2. Test statistic

z=(31.1-31)/(2.3/sqrt(10))

Option C is correct.

3. 2*P(Z>|1.72|)=0.0854

Option C is correct.

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