Question

In: Statistics and Probability

High school graduates: Approximately 74% of freshmen entering public high schools in the United States in...

High school graduates: Approximately

74%

of freshmen entering public high schools in the United States in

2005

graduated with their class in

2009

. A random sample of

175

freshmen is chosen. Use Cumulative Normal Distribution Table as needed. Round your answers to at least four decimal places if necessary.

(a)Find the mean

μp

.

The mean

μp

is .

Part 2 of 6

(b)Find the standard deviation

σp

.

The standard deviation

σp

is .

Part 3 of 6

(c)Find the probability that less than

75%

of freshmen in the sample graduated.

The probability that less than

75%

of freshmen in the sample graduated is .

Part 4 of 6

(d)Find the probability that between

64%

and

78%

of freshmen in the sample graduated.

The probability that between

64%

and

78%

of freshmen in the sample graduated is .

Part 5 of 6

(e)Find the probability that more than

64%

of freshmen in the sample graduated.

The probability that more than

64%

of freshmen in the sample graduated is .

Part 6 of 6

(f)Would it be unusual if the sample proportion of freshmen in the sample graduated was more than

83%

?

It  ▼(Choose one) be unusual if the sample proportion of freshmen in the sample graduated was more than

83%

since the probability is   .

Solutions

Expert Solution

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