Question 1
Solve the problem. Round the standard score to the nearest tenth before using the z-score tables. Express your answer as a percent rounded to hundredths of a percent.
A final exam in Math 160 has a mean of 73 with standard deviation 8.16. Assume that a random sample of 24 students is selected and the test score of the sample is computed. Assuming the scores are normally distributed, what percentage of sample means are greater than 78?
◦ 99.74%
◦ 0.26%
◦ 0.13%
◦ 99.87%
Question 2
Solve the problem. Round the standard score to the nearest tenth before using the z-score tables. Express your answer as a percent rounded to hundredths of a percent.
A final exam in Math 160 has a mean of 73 with standard deviation 9.8. Assume that a random sample of 24 students is selected and the test score of the sample is computed. Assuming the scores are normally distributed, what percentage of sample means are between 72 and 74?
◦ 69.15%
◦ 38.3%
◦ 61.7%
◦ 30.85%
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