Business Weekly conducted a survey of recent graduates from the top MBA programs. On the basis of the survey, assume that 65% of the recent graduates annual salary exceeds $75000. Suppose you take a simple random sample of 92 recent graduates. Note: round all z scores to 2 decimal places and all other numbers to 4 decimal places. Find the probability that more than 55% of the 92 recent graduates have an annual salary exceeding $75000. Beyond representative sampling, what assumptions are needed to satisfy the requirements for this problem? X∼normal or n≥30 X∼binomial and both np and nqat least 5 X∼normal and n≥30 X∼binomial and at least 5 successes and failures

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Business Weekly conducted a survey of recent graduates from the top MBA programs. On the basis of the survey, assume that 65% of the recent graduates annual salary exceeds $75000. Suppose you take a simple random sample of 92 recent graduates.

Note: round all z scores to 2 decimal places and all other numbers to 4 decimal places.

Find the probability that more than 55% of the 92 recent graduates have an annual salary exceeding $75000. 

Beyond representative sampling, what assumptions are needed to satisfy the requirements for this problem?
  • X∼normal or n≥30
  • X∼binomial and both np and nqat least 5
  • X∼normal and n≥30
  • X∼binomial and at least 5 successes and failures
 
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