Question

**Math SAT:** The math SAT test was originally
designed to have a mean of 500 and a standard deviation of 100. The
mean math SAT score last year was 515 but the standard deviation
was not reported. You read in an article for an SAT prep course
that states in a sample of 87 students, the mean math score was
534, but they did not disclose the standard deviation. Assume the
population standard deviation (*σ*) for all prep course
students is 100 and test the claim that the mean score for prep
course students is above the national average of 515. Use a 0.10
significance level.

**(a) What is the test statistic? Round your answer to 2
decimal places.**

*z*_{x} =

(b) What is the P-value of the test statistic? **Use the
answer found in the z-table or round to 4 decimal
places.**

P-value =

reject *H*_{0}

fail to reject
*H*_{0}

**(e) Choose the appropriate concluding
statement.**

The data supports the claim that the mean score for all students taking the prep course is above the national average

There is not enough data to support the claim that the mean score for all students taking the prep course is above the national average.

We reject the claim that the mean score for all students taking the prep course is above the national average.We have proven that the mean score for all students taking the prep course is above the national average.

Answer #1

a)

z =1.77

b)

p value =0.0384

c)

**critical value of z =1.28**

*d_*

reject *H*_{0}

_{e)}

The data supports the claim that the mean score for all students taking the prep course is above the national average

Answer #2

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answered by: kroniesonae.r

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