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National average ACT score for high school students stands at 25. A teacher thinks that her...

National average ACT score for high school students stands at 25. A teacher thinks that her students perform better than average. So she collects data for 32 students and finds out that their average is 26.5 with standard deviation 3.7.

(a) Set up a hypothesis test to see whether the teacher is right

(b) Construct a 95% confidence interval for the mean ACT score. Explain your choice of distribution in constructing the confidence interval (normal or t-distribution).

(c) Find the p-value for the test. What is your decision on the teacher’s claim?

math   Statistics-And-Probability   
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Answer #1

test = 3.7 , の=32 32-1ワ31 Degvee O ds mean ACT den ce 32. 25 I. 3313 23。6マ 2633 957- CI 267, 26- 33t_ 26-5-25 t= 2.465 t 2.4 26.5-25 2.47 Right toilee test P- valut 0.0096 Volta c/cu/a7r 2レ gecィ Conclu sio 4to しu

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