A. āCarry out The SevenāSteps Of Hypothesis Testing Procedures For Each Caseā
B. āConstruct Proper Confidence Interval Of 95% For Each Caseā
1. A sample of 9 high school seniors in a school system reports a mean of 5 hours worked at partātime jobs during a recent week: The sample standard deviation was 3 hours. Do these data provide sufficient evidence to indicate that the mean for the population is less than 8 hours? Assume a normally distributed population.
2. The owner of the Ellenborough Shopping Center claims that more than 50% of the households within a threeāmile radius of the shopping center have at least one member who shops at the center at least once a week. In a sample of 300 households in the area, an investigator found that members of 171 households did so. Do these data provide sufficient evidence to support the shopping center owner's claim? Let Ģ =0.01.
3. A random sample of 16 college freshmen who plan to major in marketing and a random sample of 13 who plan to major in accounting are given a sales aptitude test. The variance of the scores of the marketing majors is 7.29. The variance of the scores of the accounting majors is 39.69. Do these data provide sufficient evidence to indicate, at the 0.05 level of significance, that the two population variances are different? State all necessary assumptions.
4. O'Connor Drugs, a pharmaceuticals manufacturer, is concerned with the side effects of a depressant drug when used by normal adults. A researcher would like to find a dosage that would produce sedation but not be strong enough to cause serious side effects. A random sample of 16 subjects taking part in an experiment with the drug achieved sedation with the following dosages, in milligrams per kilogram of body weight
1.6,1.8,7.3,5.7,3.0,1.6,3.8,3.1,7.8,7.4,4.2,1.6,2.1,2.1,5.5,4.4.
Do these data provide sufficient evidence to indicate that the mean dosage required to produce sedation is greaterāthan 2.5 milligram per kilogram of body weight? Let Ģ =0.05
5. An official with Bartram Paint and Varnish, Inc. believes that more than oneāthird of ordered raw materials are not delivered on time. She compares the actual delivery date with the promised delivery date on a random sample of 100 orders. and finds that 38 orders were not delivered on time. Do these data support her belief? Let Ģ =0.01