Please answer the following questions, Write clearly as well and please as fast as possible. I will upvote. The College Board reports that the scores on the math SAT were normally distributed with a mean of 535 and a population standard deviation of 115. A random sample of 20 students at your high school had a mean of 560. a) State the null and alternative hypotheses to test whether the mean math SAT score at your school differs from the national value. b) Give the test statistic and p-value. c) Use the test statistic and p-value to make a decision about the null hypothesis (reject or fail to reject) at the 0.01 level of significance. Interpret the decision in the context of the problem. d) Describe what would be a Type I error here. e) Describe what would be a Type Il error here.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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ABCDEF GHIJC
Please answer the following questions, Write clearly as well and please as fast as possible. I will
upvote.
The College Board reports that the scores on the math SAT were normally distributed with a
mean of 535 and a population standard deviation of 115. A random sample of 20 students at your high
school had a mean of 560.
a) State the null and alternative hypotheses to test whether the mean math SAT score at your school
differs from the national value.
b) Give the test statistic and p-value.
c) Use the test statistic and p-value to make a decision about the null hypothesis (reject or fail to reject)
at the 0.01 level of significance. Interpret the decision in the context of the problem.
d) Describe what would be a Type I error here.
e) Describe what would be a Type Il error here.
Transcribed Image Text:ABCDEF GHIJC Please answer the following questions, Write clearly as well and please as fast as possible. I will upvote. The College Board reports that the scores on the math SAT were normally distributed with a mean of 535 and a population standard deviation of 115. A random sample of 20 students at your high school had a mean of 560. a) State the null and alternative hypotheses to test whether the mean math SAT score at your school differs from the national value. b) Give the test statistic and p-value. c) Use the test statistic and p-value to make a decision about the null hypothesis (reject or fail to reject) at the 0.01 level of significance. Interpret the decision in the context of the problem. d) Describe what would be a Type I error here. e) Describe what would be a Type Il error here.
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