IV. Identify the appropriate test statistic to be used in each problem. 1. Based on the report of the school nurse, the average height of Grade 11 students has increased. Five years ago, the average height of Grade 11 students was 170cm with standard deviation of 38cm. She took a random sample of 150 students and derived the average height of 165cm. 2. A manufacturer of tires claim that their tire has a mean life of at least 50,000kms. A random sample of 28 of these tires is tested and the sample mean is 33,000kms. Assume that the population standard deviation is 3,000kms and the lives of the tires are approximately normally distributed. 3. In the population, the average IQ is 100. A team of scientists wants to test a new medication to see if it has either a positive or a negative effect on intelligence, or no effect at all. A sample of 30 participants who have taken the medication has a mean of 140 with a standard deviation of 20. Did the medication affect intelligence? Alpha=0.05.

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IV. Identify the appropriate test statistic to be used in each problem.
1. Based on the report of the school nurse, the average height of Grade 11 students has
increased. Five years ago, the average height of Grade 11 students was 170cm with
standard deviation of 38cm. She took a random sample of 150 students and derived
the average height of 165cm.
2. A manufacturer of tires claim that their tire has a mean life of at least 50,000kms. A
random sample of 28 of these tires is tested and the sample mean is 33,000kms.
Assume that the population standard deviation is 3,000kms and the lives of the tires
are approximately normally distributed.
3. In the population, the average IQ is 100. A team of scientists wants to test a new
medication to see if it has either a positive or a negative effect on intelligence, or no
effect at all. A sample of 30 participants who have taken the medication has a mean
of 140 with a standard deviation of 20. Did the medication affect intelligence?
Alpha=0.05.
Transcribed Image Text:IV. Identify the appropriate test statistic to be used in each problem. 1. Based on the report of the school nurse, the average height of Grade 11 students has increased. Five years ago, the average height of Grade 11 students was 170cm with standard deviation of 38cm. She took a random sample of 150 students and derived the average height of 165cm. 2. A manufacturer of tires claim that their tire has a mean life of at least 50,000kms. A random sample of 28 of these tires is tested and the sample mean is 33,000kms. Assume that the population standard deviation is 3,000kms and the lives of the tires are approximately normally distributed. 3. In the population, the average IQ is 100. A team of scientists wants to test a new medication to see if it has either a positive or a negative effect on intelligence, or no effect at all. A sample of 30 participants who have taken the medication has a mean of 140 with a standard deviation of 20. Did the medication affect intelligence? Alpha=0.05.
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