7.)
a) z0= 2.31 > z0.05 = 1.645; reject null hypothesis.
b) P-value = 0.0104 < alpha =0.05; reject null hypothesis.
11.)
a) z0= -1.49 is between -z0.025 = -1.96 and z0.025= 1.96;do not reject null hypothesis.
b) P-value = 0.1362 > a=0.05; do not reject null hypothesis.
z0=0.65 < z0.01=2.33; do not reject the null hypothesis.
z0=0.693 > z0.01=2.33; do not reject the null hypothesis.
1.)
a) t0.01 = 2.602.
b) -t0.05=-1.729.
c) +/-t0.025 = +/-2.179.
12.)
a) Ho: mean=63.7
H1: mean > 63.7
b) Proportion of women higher than the critical value.
c) P-value=0.35 > alpha=0.1; reject null hypothesis.
13.)
a) Ho: mean = 22
H1: mean > 22
b) the sample size is > or = 30 and is random (200), sothe difference is large enough that the scores are independent.
c) t0= 2.176 > t0.05 = 1.660; reject null hypothesis.
d) students who complete the core curriculum are scoring above 22 on the ACT math section.
14.)
a) Ho: mean = 501
H1: mean < 501
b) The sample size is > or = 30 and is a random sample of 100, so the difference is large enough that the scores are independent.
c) z0=1.379 < alpha 0.1; reject null hypothesis.
d) the mean score of the random sample reading section scores is less than the normal mean score of 501.