Question 4 Business Weekly conducted a survey of recent graduates from the top MBA programs. On the basis of the survey, assume that 50% of the recent graduates annual salary exceeds $75000. Suppose you take a simple random sample of 62 recent graduates. Note: round all z scores to 2 decimal places and all other numbers to 4 decimal places. Find the probability that less than 60% of the 62 recent graduates have an annual salary exceeding $75000. Beyond representative sampling, what assumptions are needed to satisfy the requirements for this problem? OX - binomial and both np and nq at least 5 ~ normal andn> 30 OX ~ normal or n > 30 OX - binomial and at least 5 successes and failures Submit Question

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### Question 4

Business Weekly conducted a survey of recent graduates from the top MBA programs. On the basis of the survey, assume that 50% of the recent graduates' annual salary exceeds $75,000. Suppose you take a simple random sample of 62 recent graduates.

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

Find the probability that less than 60% of the 62 recent graduates have an annual salary exceeding $75,000.

**Beyond representative sampling, what assumptions are needed to satisfy the requirements for this problem?**

- \( X \sim \) binomial and both \( np \) and \( nq \) at least 5
- \( X \sim \) normal and \( n \geq 30 \)
- \( X \sim \) normal or \( n \geq 30 \)
- \( X \sim \) binomial and at least 5 successes and failures

[Submit Question]
Transcribed Image Text:### Question 4 Business Weekly conducted a survey of recent graduates from the top MBA programs. On the basis of the survey, assume that 50% of the recent graduates' annual salary exceeds $75,000. Suppose you take a simple random sample of 62 recent graduates. **Note:** Round all z scores to 2 decimal places and all other numbers to 4 decimal places. Find the probability that less than 60% of the 62 recent graduates have an annual salary exceeding $75,000. **Beyond representative sampling, what assumptions are needed to satisfy the requirements for this problem?** - \( X \sim \) binomial and both \( np \) and \( nq \) at least 5 - \( X \sim \) normal and \( n \geq 30 \) - \( X \sim \) normal or \( n \geq 30 \) - \( X \sim \) binomial and at least 5 successes and failures [Submit Question]
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