nnual salary for graduates 10 years after graduation is $127,000. Assume the standard deviation is $41,000. Suppose you take a simple random sample of 45 graduates. Round all answers to four decimal places if necessary.
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $127,000. Assume the standard deviation is $41,000. Suppose you take a simple random sample of 45 graduates. Round all answers to four decimal places if necessary.
- What is the distribution of XX? XX ~ N(,)
- What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
- For a single randomly selected graduate, find the probability that her salary is between $123,732 and $128,688.
- For a simple random sample of 45 graduates, find the probability that the average salary is between $123,732 and $128,688.
- For part d), is the assumption of normal necessary? NoYes
Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.
Given:
Mean, =127,000
Standard deviation, =41,000
Sample size, n = 45
1. Distribution of X:
2. Distribution of :
and
Therefore, distribution is:
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