Decide whether or not these conditions and assumptions forinference with a t-tes

Question

Decide whether or not these conditions and assumptions forinference with a t-test are satisfied. 1. An independent laboratory randomly tests 100 light bulbs,finding that the lifetime of the bulbs is normally distributed witha mean life of 103 hours and a standard deviation of 11hours. A) This is not a random sample. B) The conditions and assumptions are satisfed. C) The data do not seem to come from a normaldistribution. D) 100 light bulbs is more than 10% of the population of lightbulbs. E) 100 is too large a sample size to be able to use thet-test. 2. Students are investigating whether the average age ofhigh school students taking a particularly large psychology classat a major university is under 16 years old. The psychology classhas 48 high school students. A random sample of 10 of the highschool students is selected. Their ages are as follows: 16.6, 15.2,16.5, 15.9, 15.9, 16.2, 16.3, 15.8, 15.6, 16.0. A) The conditions and assumptions are satisfed. B) This is not a random sample. C) The sample does not seem to come from a normalpopulation. D) The sample is more than 10% of the sampling frame. E) As long as there are more than 480 students in thepsychology class the conditions and assumptions aresatisfied. Decide whether or not these conditions and assumptions forinference with a t-test are satisfied. 1. An independent laboratory randomly tests 100 light bulbs,finding that the lifetime of the bulbs is normally distributed witha mean life of 103 hours and a standard deviation of 11hours. A) This is not a random sample. B) The conditions and assumptions are satisfed. C) The data do not seem to come from a normaldistribution. D) 100 light bulbs is more than 10% of the population of lightbulbs. E) 100 is too large a sample size to be able to use thet-test. 2. Students are investigating whether the average age ofhigh school students taking a particularly large psychology classat a major university is under 16 years old. The psychology classhas 48 high school students. A random sample of 10 of the highschool students is selected. Their ages are as follows: 16.6, 15.2,16.5, 15.9, 15.9, 16.2, 16.3, 15.8, 15.6, 16.0. A) The conditions and assumptions are satisfed. B) This is not a random sample. C) The sample does not seem to come from a normalpopulation. D) The sample is more than 10% of the sampling frame. E) As long as there are more than 480 students in thepsychology class the conditions and assumptions aresatisfied.

Explanation / Answer

I would say the conditions of a simple random sample and aroughly normally distributed population have been satisfied, so theanswer is B). 2) D) is the correct answer; thesample is more than 10% of the population, making the testinvalid.

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