Chapter 8 Hypothesis practices for the exam

Directions: (a) State the null and the alternate hypothesis. Identify the claim. (b) Make a labeled diagram. Include: the Fail to Reject Ho region, the critical region, and the critical value(s). Identify the sampling distribution: Normal, Student t, or Chi-Square. (c) Give the formula and compute the appropriate Test Statistic. (d) Using (a) - (c) above, state your conclusion using appropriate statistical language. 3.) Nationally, 65.2% of federal prisoners are serving time for drug related offenses. A warden feels that in his prison the percentage is even greater. He randomly surveys 500 inmates' records and finds that 356 of the inmates are drug offenders. Is the warden's claim correct at the 10% level of significance? 4.) The standard deviation of the tar by-products released in smoking the average cigarette is 2.4 mg. A sample of 14 CloudPuff brand cigarettes tested produced a standard deviation of 2.0 mg of tar by-products. Is the standard deviation of the tar by-products for CloudPuff brand really less than that of the average cigarette? Use a 0.05 significance level to test the claim for CloudPuff brand cigarettes. [On the basis of previous studies, we can assume that the number of milligrams of tar by-products is normally distributed.]