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:
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 |