Question
1. A standardized test given to all new applicants is normally distributed with a mean of 80 and a standard deviation of 18. A random
1. A standardized test given to all new applicants is normally distributed with a mean of 80 and a standard deviation of 18. A random sample of 40 applicants is selected for further study. PLEASE SHOW THE WORK FOR YOUR ANSWERS!
A) What is the shape, mean(expected value) and standard deviation of the sampling distribution of the sample mean for samples of size 40?
B) What is the probability that the sample mean will be larger than 85?
C) What is the probability that the sample mean will fall within 8 points of the population mean?
D) What is the probability that the sample mean will be less than 77?
2. Assume that the population proportion of adults who smoke cigarettes is 0.38. A random sample of 350 adults is to be selected to test this claim. PLEASE SHOW THE WORK FOR YOUR ANSWERS!
A) What is the shape, mean, and standard deviation of the sampling distribution of the sample proportion for samples of 350?
B) What is the probability that the sample proportion will be less than 0.40?
C) What is the probability that the sample proportion will fall within 4 percentage points(+/- 0.04) of the population proportion?
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A First Course in General Relativity
Authors: Bernard Schutz
2nd edition
521887054, 978-0521887052
