Hypothesis Testing (Z-Test and t-Test) A manufacturer packs sugar into plastic bag. Each bag is to hold 5 kilos of sugar. When the production is under control, each bag contains on the average 5 kilos. At one period, a sample of 17 bags was taken to check the process and was found to weigh 5.6 kilos with a standard deviation 0f 0.75 kilos. Is the manufacturing process under control? Use Level of Significance = 0.01.

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Test the claim that for the population of statistics final exams, the mean score is 79 using alternative hypothesis that the mean score is different from 79. Sample statistics include ?=17, x¯=80, and ?=16.s=16. Use a significance level of ?=0.01.. (Assume normally distributed population.)The test statistic is

Cereals sodium values have a mean of 167 and a standard deviation of 77.3. Find the z-score for the cereal that has a sodium value of 0. How would you interpret this z-score?

Sample data were collected in a study of calcium supplements and their effects on blood pressure. A placebo group and a calcium group began the study with measures of blood pressures for each group. What test would be most appropriate, if you have non-normal data? Name of Test _____________________________________________

Type size Mean S.D. I 10 136.7 4.5 II 15 138.3 4.6 7. | find the 98% econfidence interval for the difference of mean fabric strengths for the two types using a pooled interval. Interpret your answer.

Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 73.5 88 63.9 85.5 62.7 65 83.2 61.9 88 62.7 Test grades are believed to be normally distributed.Use a significance level of 5%. State the alternative hypothesis: HA:HA: μ>65μ>65 μ<65μ<65 μ≠65μ≠65 State the mean of the sample:  State the standard error of the sample means:  State the test statistic: t=t=  State the p-value:  Decision: Fail to reject the null hypothesis. Reject the null hypothesis.

z Scores LeBron James, one of the most successful basketball players of all time, has a height of 6 feet 8 inches, or 203 cm. Based on statistics from Data Set 1 “Body Data” in Appendix B, his height converts to the z score of 4.07. How many standard deviations is his height above the mean?

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