Constructing a Confidence Interval when the Population o is Known Suppose scores on exams in statistics are normally distributed with an unknown population mean and a population standard deviation of 3 points. A random sample of 36 scores is taken and gives a sample mean of 68. Find a 95% confidence interval estimate for the population mean exam score by providing the following information. Confidence Level Area in One Tail Z-Score 50% 0.25 0.674 80% 0.1 1.282 90% 0.05 1.645 95% 0.025 1.96 98% 0.1 2.326 99% 0.005 2.576 (Include two decimal places below) a. a = b. 20.025 с. ЕВМ — d. The lower bound of the Confidence Interval is e. The upper bound of the Confidence Interval is

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Constructing a Confidence Interval when the Population o is Known
Suppose scores on exams in statistics are normally distributed with an unknown population mean and a
population standard deviation of 3 points. A random sample of 36 scores is taken and gives a sample mean of
68. Find a 95% confidence interval estimate for the population mean exam score by providing the following
information.
Confidence Level
Area in One Tail
Z-Score
50%
0.25
0.674
80%
0.1
1.282
90%
0.05
1.645
95%
0.025
1.96
98%
0.1
2.326
99%
0.005
2.576
(Include two decimal places below)
а. а —
b. 20.025 =
с. ЕВМ
d. The lower bound of the Confidence Interval is
e. The upper bound of the Confidence Interval is
Transcribed Image Text:Constructing a Confidence Interval when the Population o is Known Suppose scores on exams in statistics are normally distributed with an unknown population mean and a population standard deviation of 3 points. A random sample of 36 scores is taken and gives a sample mean of 68. Find a 95% confidence interval estimate for the population mean exam score by providing the following information. Confidence Level Area in One Tail Z-Score 50% 0.25 0.674 80% 0.1 1.282 90% 0.05 1.645 95% 0.025 1.96 98% 0.1 2.326 99% 0.005 2.576 (Include two decimal places below) а. а — b. 20.025 = с. ЕВМ d. The lower bound of the Confidence Interval is e. The upper bound of the Confidence Interval is
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