8. Five years ago, the average math SAT score for students at one school was 475. A teacher wants to perform a hypothesis test to determine whether the mean math SAT score of students at the school has changed. The mean math SAT score for a random sample of 40 students from this school is 469. Do the data provide sufficient evidence to conclude that the mean math SAT score for students at the school has changed from the previous mean of 475? Assume that o = 73. Use the given information and p-value approach hypothesis test to determine if at the 10% significance level, the data suggest that, on the average, math SAT score for students at the school has changed from the previous mean of 475. Assume the scores are normally distributed with population standard deviation of 73. Ha: μ- 475 Ha: µ# 475 test statistic: z =-0.0822

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8. Five years ago, the average math SAT score for students at one school was 475. A teacher
wants to perform a hypothesis test to determine whether the mean math SAT score of
students at the school has changed. The mean math SAT score for a random sample of 40
students from this school is 469. Do the data provide sufficient evidence to conclude that the
mean math SAT score for students at the school has changed from the previous mean of 475?
Assume that o = 73.
Use the given information and p-value approach hypothesis test to determine if at the 10%
significance level, the data suggest that, on the average, math SAT score for students at the
school has changed from the previous mean of 475. Assume the scores are normally
distributed with population standard deviation of 73.
test statistic: z = -0.0822
Ho: µ = 475
Ha: µ + 475
а) Р-value:
b) Hypothesis test conclusion and interpretation:
Transcribed Image Text:8. Five years ago, the average math SAT score for students at one school was 475. A teacher wants to perform a hypothesis test to determine whether the mean math SAT score of students at the school has changed. The mean math SAT score for a random sample of 40 students from this school is 469. Do the data provide sufficient evidence to conclude that the mean math SAT score for students at the school has changed from the previous mean of 475? Assume that o = 73. Use the given information and p-value approach hypothesis test to determine if at the 10% significance level, the data suggest that, on the average, math SAT score for students at the school has changed from the previous mean of 475. Assume the scores are normally distributed with population standard deviation of 73. test statistic: z = -0.0822 Ho: µ = 475 Ha: µ + 475 а) Р-value: b) Hypothesis test conclusion and interpretation:
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