7.)
a) Test statistic is 2.31 which is in the critical region so I reject the H0
b) 0.0104
11.)
a) Test statistic is -1.49 which isn't in the critical region. I fail to reject H0
b) P value is 0.1362
The test statistic is 0.65, p value is 0.2578, I do not reject H0 as the test statistic is not in the critical region.
The test statistic is 0.686, p value is 0.1949, I fail to reject H0 as the test statistic is not in the critical region.
1.)
a) 2.602
b) -1.729
c) -2.179 and 2.179
12.)
a) H0: mu = 63.7
H1: Mu > 63.7
b) : The p value is the probability of observing a test statistic as large or larger then the one you found. Assuming the H0 is true, the probability of picking a sample with a sample mean of 63.9 or bigger is 35%
c) We fail to reject the H0 as there is not enough evidence to suggest that women are getting taller at a=0.10 level of significance.
13.)
a) H0: mu = 22
H1: mu > 22
b) The sample is bigger than 30 and it is from a normal population and less than 5% of the population.
c) test statistic: 2.175 so I reject the H0
d) There is sufficient evidence to conclude that students who complete the core curriculum of math courses are ready for college-level mathematics as the test statistic is in the critical region.
14.)
a) Ho: Mu = 501
H1:Mu < 501
b) The sample is bigger than 30 and it is from a normal population and less than 5% of the population.
c) Test statistic is -1.379 so I reject the H0.
d) There is sufficient evidence to conclude that students who learned English and another language simultaneously score worse on the SAT Critical Reading exam than the general population of test takers as the test statistic is in the critical region.