Suppose NCSU students’ heights are normally distributed, with a mean height of 70in (5’10”) and a standard deviation of 4in. 1. Calculate the Z score that can be used to assess the proportion of NCSU students shorter than 68 in. 2. Calculate the Z score that can be used to assess the probability of obtaining a random sample of 100 NCSU students with average height less than 68 in. 3. The standard normal distribution table is needed to tell exactly the proportion of NCSU students shorter than 68in and the probability of obtaining a random sample of 100 NCSU students with average height less than 68in. Can you tell whether they are the same? 4. I draw a random sample of 121 NCSU freshmen. The sample’s average height is 71in, and standard deviation is 4in. Construct a 95% confidence interval and explain what the confidence interval tell you about the average height of NCSU freshmen. 5. I draw a random sample of 121 NCSU freshmen. The sample’s average height is 71in, and standard deviation is 4in. Use a hypothesis test to examine whether the average height for freshmen is different from the average height of all NCSU students?
Suppose NCSU students’ heights are
1. Calculate the Z score that can be used to assess the proportion of NCSU students shorter than 68 in.
2. Calculate the Z score that can be used to assess the probability of obtaining a random sample of 100 NCSU students with average height less than 68 in.
3. The standard normal distribution table is needed to tell exactly the proportion of NCSU students shorter than 68in and the probability of obtaining a random sample of 100 NCSU students with average height less than 68in. Can you tell whether they are the same?
4. I draw a random sample of 121 NCSU freshmen. The sample’s average height is 71in, and standard deviation is 4in. Construct a 95% confidence interval and explain what the confidence interval tell you about the average height of NCSU freshmen.
5. I draw a random sample of 121 NCSU freshmen. The sample’s average height is 71in, and standard deviation is 4in. Use a hypothesis test to examine whether the average height for freshmen is different from the average height of all NCSU students?
X be the NCSU students’ heights in inch.
Given that X follows Normal distribution with mean and standard deviation
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