Which of the following problems in which the appropriate test to use is independent sample t-test? a. Sixty similar bottles of wine are randomly assigned to one of two groups. One group is stored in a refrigerator for a month, the other group is stored at room temperature for a month. Both groups are then brought to room temperature and tasted by a panel of wine experts. The dependent variable is the rating of taste as assessed by experts on a 1 to 10 scale. b. A researcher is planning a psychological intervention study, but before he proceeds he wants to characterize his participants' depression levels. He tests each participant on a particular depression index, where anyone who achieves a score of 4.0 is deemed to have 'normal' levels of depression. Lower scores indicate less depression and higher scores indicate greater depression. He has recruited 40 participants to take part in the study. He wants to know whether his sample is representative of the normal population. c. A special cable has a breaking strength of 800 pounds. The standard deviation of the population is 12 pounds. A researcher selects a random sample of 45 cables and finds that the average breaking strength is 793 pounds. He wants to determine whether to reject or do not reject the claim that the breaking strength is 800 pounds at a 0.01 level.

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Which of the following problems in which the appropriate test to use is independent sample
t-test?
a. Sixty similar bottles of wine are randomly assigned to one of two groups. One group is stored in a refrigerator for a
month; the other group is stored at room temperature for a month. Both groups are then brought to room
temperature and tasted by a panel of wine experts. The dependent variable is the rating of taste as assessed by
experts on a 1 to 10 scale.
b. A researcher is planning a psychological intervention study, but before he proceeds he wants to characterize his
participants' depression levels. He tests each participant on a particular depression index, where anyone who
achieves a score of 4.0 is deemed to have 'normal" levels of depression. Lower scores indicate less depression and
higher scores indicate greater depression. He has recruited 40 participants to take part in the study. He wants to
know whether his sample is representative of the normal population.
c. A special cable has a breaking strength of 800 pounds. The standard deviation of the population is 12 pounds. A
researcher selects a random sample of 45 cables and finds that the average breaking strength is 793 pounds. He
wants to determine whether to reject or do not reject the claim that the breaking strength is 800 pounds at a 0.01
level.
d. According to a certain chemical theory, the percentage of iron in a certain compound should be 12.1% and a
standard deviation of 1%. In order to test this theory, it was decided to analyze nine different samples of the
compound to see ifthe measurements would differ significantly from 12.1%. The analysis of the nine different
samples of the compound gave the following results: 11.7, 12.2, 10.9, 11.4, 11.3, 12.0, 11.1, 10.7, and 11.6. The
scientist wants to know if the sample mean of these measurements significantly different from 12.1% at 0.01 level
of significance.
Transcribed Image Text:Which of the following problems in which the appropriate test to use is independent sample t-test? a. Sixty similar bottles of wine are randomly assigned to one of two groups. One group is stored in a refrigerator for a month; the other group is stored at room temperature for a month. Both groups are then brought to room temperature and tasted by a panel of wine experts. The dependent variable is the rating of taste as assessed by experts on a 1 to 10 scale. b. A researcher is planning a psychological intervention study, but before he proceeds he wants to characterize his participants' depression levels. He tests each participant on a particular depression index, where anyone who achieves a score of 4.0 is deemed to have 'normal" levels of depression. Lower scores indicate less depression and higher scores indicate greater depression. He has recruited 40 participants to take part in the study. He wants to know whether his sample is representative of the normal population. c. A special cable has a breaking strength of 800 pounds. The standard deviation of the population is 12 pounds. A researcher selects a random sample of 45 cables and finds that the average breaking strength is 793 pounds. He wants to determine whether to reject or do not reject the claim that the breaking strength is 800 pounds at a 0.01 level. d. According to a certain chemical theory, the percentage of iron in a certain compound should be 12.1% and a standard deviation of 1%. In order to test this theory, it was decided to analyze nine different samples of the compound to see ifthe measurements would differ significantly from 12.1%. The analysis of the nine different samples of the compound gave the following results: 11.7, 12.2, 10.9, 11.4, 11.3, 12.0, 11.1, 10.7, and 11.6. The scientist wants to know if the sample mean of these measurements significantly different from 12.1% at 0.01 level of significance.
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