# There is concern that the settings of the machine

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Chapter 10 / Exercise 1
Statistics for the Behavioral Sciences
Gravetter/Wallnau
Expert Verified
There is concern that the settings of the machine producing the nails have changed. To test the claim, twelve nails (n = 12) were sampled. The mean of the sample is 41.5 and the standard deviation 1.784. To decide if the sample data support the claim that mean length is 43 millimeters, state your decision in terms of the null hypothesis. Use a 0.02 level of significance. reject Ho: µ = 43AACSB: Reflective Thinking SkillsBloom's: AnalysisDifficulty: MediumLearning Objective: 10-06 Conduct a test of hypothesis about a population mean.Topic: Hypothesis test about a population mean121. A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 216 days. After a revised mix has been developed, a sample of nine boxes of cake mix had a mean of 217.222 and a standard deviation of 1.2019. What is the value of the test statistic? t = 3.0502AACSB: Analytic SkillsBloom's: ApplicationDifficulty: HardLearning Objective: 10-06 Conduct a test of hypothesis about a population mean.Topic: Hypothesis test about a population mean10-77
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Chapter 10 / Exercise 1
Statistics for the Behavioral Sciences
Gravetter/Wallnau
Expert Verified
Chapter 10 - One-Sample Tests of Hypothesis122. A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 216 days. After a revised mix has been developed, a sample of nine boxes of cake mix had a mean of 217.222 and a standard deviation of 1.2019. At the 0.025 significance level, what is the critical value? t = 2.306AACSB: Analytic SkillsBloom's: ApplicationDifficulty: HardLearning Objective: 10-06 Conduct a test of hypothesis about a population mean.Topic: Hypothesis test about a population mean123. A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 216 days. After a revised mix has been developed, a sample of nine boxes of cake mix had a mean of 217.222 and a standard deviation of 1.2019. At the 0.025 significance level, decide if the sample data support the claim that shelf life has increased. State your decision in terms of the null hypothesis. reject Ho: µ 216AACSB: Analytic SkillsBloom's: ApplicationDifficulty: HardLearning Objective: 10-06 Conduct a test of hypothesis about a population mean.Topic: Hypothesis test about a population mean124. For a two-tailed hypothesis test, the test statistic is z = 2.65. What is the p-value? 0.008AACSB: Analytic SkillsBloom's: ApplicationDifficulty: MediumLearning Objective: 10-07 Compute and interpret a p-value.Topic: P-value10-78
Chapter 10 - One-Sample Tests of Hypothesis125. For a one-tail hypothesis test, the test statistic is z = -2.10. What is the p-value? 0.0179AACSB: Analytic SkillsBloom's: ApplicationDifficulty: MediumLearning Objective: 10-07 Compute and interpret a p-value.Topic: P-value126. For a two-tailed hypothesis test, the test statistic is z = 1.42. What is the p-value?