In: Statistics and Probability
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:
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 450.55  | 
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 649.45  | 
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 462.89  | 
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 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:
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 465.84 and 634.16  | 
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 456.48 and 643.61  | 
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 575.33 and 634.16  | 
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 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:
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 0.5596  | 
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 0.4404  | 
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 0.9332  | 
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 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:
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 0.5803  | 
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 0.9001  | 
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 0.9953  | 
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 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:
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 0.0 or 1 x 10-59  | 
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 0.7081  | 
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 0.2844  | 
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 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:
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 No  | 
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 Yes  |