Question

1. A researcher wants to determine the average given below. Describe how the researcher should apply the five basic steps in a statistical study. (Assume that all the people in the poll answered truthfully.) The average number of light bulbs per household that function as designed. Determine how to apply the first basic step in a statistical study in this situation. Choose the correct answer below. a. The population is all households. The researcher wants to estimate the average b. The population is all light bulbs that function as designed. The researcher wants to estimate the average number of light bulbs per household that function as designed. c. The population is all light bulbs that function as designed. The researcher wants to estimate the average number of light bulbs per household that do not function as designed. d. The population is all households. The researcher wants to estimate the average number of light bulbs per household that function as designed. 2. Determine how to apply the second basic step in a statistical study in this situation. Choose the correct answer below. a. The researcher should gather data about functionality from the largest sample of light bulbs about whom the researcher can gather data. b. The researcher should only gather raw data from light bulbs that function as designed. c. The researcher should gather raw data from all light bulbs. d. The researcher should only gather raw data from light bulbs that do not function as designed. 3. Determine how to apply the third basic step in a statistical study in this situation. Choose the correct answer below. a. The sample statistic of interest is the average number of light bulbs per household that function as designed. b. The sample statistic of interests is the average number of light bulbs per household that do not function as designed. c. The sample statistic of interest is the percentage of light bulbs that do not function as deigned. d. The sample statistic of interest is the percentage of light bulbs that function as designed. 4. Determine how to apply the fourth basic step in a statistical study in this situation. Choose the correct answer below. a. The researcher should use the sample statistic as an estimate for the population value of the average number of light bulbs that function as designed and then use the methods of statistics to determine how good that estimate is. b. If the percentage of light bulbs that function as designed in the sample is greater than 50%, then the researcher can be confident that all light bulbs function as designed. c. The sample statistic provides no useful information to the researcher in this situation. d. If the researcher followed correct procedures, he or she can be confident that the sample statistics is equal to the average number of light bulbs that function as designed. 5. Determine how to apply the fifth basic step in a statistical study in this situation. Choose the correct answer below. a. The researcher should use the methods of statistics to determine the quality of the estimate of the population parameter and draw conclusions based on this estimate accordingly. b. The researcher cannot draw any conclusions based on the value of the sample statistic. c. There is no way to determine how well the sample statistic estimates the population parameter. d. The researcher knows that the sample statistic is equal to the population parameter, so he or she may draw conclusions with complete confidence.

Answer 1

1. First basic step:

b. The population is all light bulbs that function as designed. The researcher wants to estimate the average number of light bulbs per household that function as designed.

2. Second basic step:

a. The researcher should gather data about functionality from the largest sample of light bulbs about whom the researcher can gather data.

3. Third basic step:

a. The sample statistic of interest is the average number of light bulbs per household that function as designed.

4. Fourth basic step:

a. The researcher should use the sample statistic as an estimate for the population value of the average number of light bulbs that function as designed and then use the methods of statistics to determine how good that estimate is.

5. Fifth basic step:

a. The researcher should use the methods of statistics to determine the quality of the estimate of the population parameter and draw conclusions based on this estimate accordingly.