For each of the following situations, identify the sampling method used. i. The manager of a company wants to conduct a satisfaction survey of the 10,000 employees. Each employee is assigned a number between 1 and 10,000. A computer program is used to generate random numbers between 1 and 10,000. The manager runs the program and selects 100 members for the survey. ii. The same company has offices in 100 cities across the country. The manager of the company cannot travel to all offices to survey the employees so he randomly selects 30 offices. He then surveys all employees at each of the 30 offices.
Q1. For each of the following situations, identify the sampling method used.
i. The manager of a company wants to conduct a satisfaction survey of the 10,000 employees. Each employee is assigned a number between 1 and 10,000. A computer program is used to generate random numbers between 1 and 10,000. The manager runs the program and selects 100 members for the survey.
ii. The same company has offices in 100 cities across the country. The manager of the company cannot travel to all offices to survey the employees so he randomly selects 30 offices. He then surveys all employees at each of the 30 offices.
Q2. A manufacturer of cabin bags advertises that on average, the mean weight of their bags is 2kg. The quality control division of the company do regular testing to ensure the weights on average are not more than 2kg.
i. Write down the null and alternative hypotheses to test this claim.
ii. Explain what it would mean to make a Type II error in this situation.
iii. Explain the possible consequences of a Type II error when the test was conducted by the quality control division of the company.
iv. Explain the possible consequences of a Type II error if the test was conducted by a consumer advocacy group external to the company.
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