Question: Using excel formulas An educational study in 2020 found that the average score on a normalized achievement exam given nationally to fifth grade students was

Using excel formulas

An educational study in 2020 found that the average score on a normalized achievement exam given nationally to fifth grade students was 38.6. A state school board, after implementing new curriculum, believes the average score is significantly higher for the fifth grade students in their state, possibly due to this new curriculum. In an effort to statistically establish this claim, the state board randomly samples forty fifth graders, examining their scores on the achievement exam. The scores appear below. Is there sufficient evidence at the 0.10 level to substantiate the state school board's claims?
47 35 37 49 41 41 36 45
22 55 41 38 40 40 41 37
51 30 43 50 32 29 53 52
40 43 36 33 46 44 49 41
22 32 48 38 35 30 43 53
a. Give the null and alternative hypotheses for this test.
H0:
H1:
b. Determine the value of the test statistic.
c. Determine the appropriate critical value(s).
d Determine the P-value.
e. Is there sufficient evidence at the 0.10 significance level to believe the students in this state are scoring higher than the national average score on the achievement exam? Explain your reasoning.

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