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# calculate the value of the test statistic, set up the rejection region, determine the p-value, interpret the result

INSTRUCTIONS TO CANDIDATES

Developing an Understanding of Statistical Concepts

In Exercises 11.7-11.12, calculate the value of the test statistic, set up the rejection region, determine the p-value, interpret the result, and draw the sampling distribution.

11.7 H : H = 1000 H1: μ#1000

σ = 200, n = 100, x = 980, a = .01

11.8 Ho:

50

H1: μ> 50

σ = 5, n = 9, x = 51, α = .03

11.9 Ho: μ 15 H1:

70

σ = 20, n = 100, x = 80, a = .01

11.12 Ho: μ= 50

H1: μ< 50

σ = 15, n = 100, 48, a = .05

For Exercises 11.13-11.19, calculate the p-value of the test to determine that there is sufficient evidence to infer each research objective.

11.13 Research objective: The population mean is less

than 250.

σ = 40, n = 70, x = 240

11.14 Research objective: The population mean is not equal to 1,500.

σ = 220, n = 125, x = 1525

11.15 Research objective: The population mean is greater

than 7.5.

σ = 1.5, n = 30, x = 8.5

11.16 Research objective: The population mean is greater than 0.

σ = 10, n = 100, x = 1.5

11.17 Research objective: The population mean is less than 0.

σ = 25, n = 400, x = -2.3

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