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Consider the following hypotheses: He: = 8 HA: 8 The population is normally distributed. A sample produces the following observations: 6 9 8 7 7 11 10 a. Find the mean and the standard deviation. (Round your answers to 2 decimal places.) Mean Standard deviation b. Calculate the value of the test statistic. (Round final answer to 2 decimal places.) Test statistic c. Find the p-value. J p-value < 0.01 0.01 s p-value < 0.02 0.02 s p-value < 0.05 0.05 s p-value <0.10 p-value ≥ 0.10 d. At the 5% significance level, what is the conclusion? Reject He since the p-value is greater than a Reject He since the p-value is smaller than a. Do not reject He since the p-value is greater than a. Do not reject He since the p-value is smaller than a. We conclude that the sample mean differs from 8. We cannot conclude that the population mean differs from 8. We conclude that the population mean differs from 8. We cannot conclude that the sample mean differs from 8. e. Interpret the results a = 0.05.

Consider the following hypotheses: He: = 8 HA: 8 The population is normally distributed. A sample produces the following observations: 6 9 8 7 7 11 10 a. Find the mean and the standard deviation. (Round your answers to 2 decimal places.) Mean Standard deviation b. Calculate the value of the test statistic. (Round final answer to 2 decimal places.) Test statistic c. Find the p-value. J p-value < 0.01 0.01 s p-value < 0.02 0.02 s p-value < 0.05 0.05 s p-value <0.10 p-value ≥ 0.10 d. At the 5% significance level, what is the conclusion? Reject He since the p-value is greater than a Reject He since the p-value is smaller than a. Do not reject He since the p-value is greater than a. Do not reject He since the p-value is smaller than a. We conclude that the sample mean differs from 8. We cannot conclude that the population mean differs from 8. We conclude that the population mean differs from 8. We cannot conclude that the sample mean differs from 8. e. Interpret the results a = 0.05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Consider the following hypotheses: He: 8 HA: H8 The population is normally distributed. A sample produces the following observations: 8 7 7 11 10 a. Find the mean and the standard deviation. (Round your answers to 2 decimal places.) Mean Standard deviation b. Calculate the value of the test statistic. (Round final answer to 2 decimal places.) Test statistic c. Find the p-value. p-value < 0.01 0.01sp-value < 0.02 0.02 s p-value <0.05 0.05 s p-value <0.10 p-value ≥ 0.10 d. At the 5% significance level, what is the conclusion? Reject He since the p-value is greater than a. Reject He since the p-value is smaller than a. Do not reject He since the p-value is greater than a. Do not reject He since the p-value is smaller than a. We conclude that the sample mean differs from 8. We cannot conclude that the population mean differs from 8. We conclude that the population mean differs from 8. We cannot conclude that the sample mean differs from 8. J e. Interpret the results a = 0.05.
Transcribed Image Text:Consider the following hypotheses: He: 8 HA: H8 The population is normally distributed. A sample produces the following observations: 8 7 7 11 10 a. Find the mean and the standard deviation. (Round your answers to 2 decimal places.) Mean Standard deviation b. Calculate the value of the test statistic. (Round final answer to 2 decimal places.) Test statistic c. Find the p-value. p-value < 0.01 0.01sp-value < 0.02 0.02 s p-value <0.05 0.05 s p-value <0.10 p-value ≥ 0.10 d. At the 5% significance level, what is the conclusion? Reject He since the p-value is greater than a. Reject He since the p-value is smaller than a. Do not reject He since the p-value is greater than a. Do not reject He since the p-value is smaller than a. We conclude that the sample mean differs from 8. We cannot conclude that the population mean differs from 8. We conclude that the population mean differs from 8. We cannot conclude that the sample mean differs from 8. J e. Interpret the results a = 0.05.
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