Question

In: Statistics and Probability

Suppose scores on a college entrance exam are normally distributed with a mean of 550 and...

Suppose scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100.

Find the score that marks the cut-off for the top 16% of the scores. Round to two decimal places.

Question 5 options:

450.55

649.45

462.89

508.34

Question 6 (1 point)

Suppose scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100.

Find the cut-off scores that define the middle 60%. Round to two decimal places.

Question 6 options:

465.84 and 634.16

456.48 and 643.61

575.33 and 634.16

465.84 and 575.33

Question 7:

Suppose scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100.

What is the probability that the sample mean score will be greater than 565, in a random sample of 100 entrance exams? Round to 4 decimal places

Question 7 options:

0.5596

0.4404

0.9332

0.0668

Question 8 (1 point)

The running time for videos submitted to YouTube in a given week is normally distributed with a mean of 390 seconds and a standard deviation of 148 seconds.

Suppose that a sample of 40 voters is selected. What is the probability that the mean running time for the sample exceeds six minutes? (Don't overlook: How many seconds are in 1 minute?)

Question 8 options:

0.5803

0.9001

0.9953

1

Question 9 (1 point)

On a certain television channel, 18% of commercials are local advertisers. A sample of 120 commercials is selected.

What is the probability that more than 20% of the commercials in the sample are local advertisers?

Question 9 options:

0.0 or 1 x 10-59

0.7081

0.2844

0.7158

Question 10 (1 point)

On a certain television channel, 18% of commercials are local advertisers. A sample of 120 commercials is selected.

Would it be unusual for more than 25% of the commercials in the sample are local advertisers?

Question 10 options:

No

Yes

Solutions

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