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Data and calculations for two statistical problems involving confidence intervals and hypothesis testing. The problems involve finding the confidence intervals for the population mean and testing the hypothesis that the population mean equals a given value. The data includes population standard deviations, sample sizes, sample means, and confidence levels. Intermediate calculations include standard errors of the mean, z values, and interval half widths.
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problem 9.14 (C)
Data Population Standard Deviation 1000 Sample Mean 7250 Sample Size 64 Confidence Level 95%
Intermediate Calculations Standard Error of the Mean 125,0000 125 Z Value -1, Interval Half Width 244,9955 244,
Confidence Interval Interval Lower Limit 7005,00 7005, Interval Upper Limit 7495,00 7494,
Problem 9.
Data 7500 Level of Significance 0, Population Standard Deviation 1000 Sample Size 64 Sample Mean 7250
Intermediate Calculations Standard Error of the Mean 125, -2,
Two-Tail Test Lower Critical Value -1, Upper Critical Value 1, 0, Reject the null hypothesis
Null Hypothesis =
Z Test Statistic
p -Value
Problem 9.
Data 7500 Level of Significance 0, Population Standard Deviation 1200 Sample Size 64 Sample Mean 7250
Intermediate Calculations Standard Error of the Mean 150, -1,
Two-Tail Test Lower Critical Value -1, Upper Critical Value 1, 0, Do not reject the null hypothesis
Null Hypothesis =
Z Test Statistic
p -Value