Suppose that the time allotted for commercials on a primetime tv program is known to have a normal distribution with a standard deviation of 1.5 minutes. A study show of 35 showings gave an average commercial time of 10 minutes. Compute for the maximum error, given a 96% confidence level.
Here
sample mean
population standard deviation
and sample size
Margin of error (ME) =
a 96% confidence interval for average commercial time
Suppose that the time allotted for commercials on a primetime tv program is known to have...
A radio station wants to control the time allotted to unpaid public service commercials. If there are too many such commercials, the station loses revenue; if there are too few, the station loses points with the Federal Communications Commission. The target figure is 2.2 commercial minutes per hour. Data on the minutes spent by the radio station on unpaid public service commercials were collected for a random sample of 30 hours of broadcasting. The results show a sample mean time...
A radio station wants to control the time allotted to unpaid public service commercials. If there are too many such commercials, the station loses revenue; if there are too few, the station loses points with the Federal Communications Commission. The target figure is 2.2 commercial minutes per hour. Data on the minutes spent by the radio station on unpaid public service commercials are reported in the following table for a randonm sample of 30 hours. 1.8 2.2 1.5 2.5 2.1...
Suppose that an accounting firm does a study to determine the time needed to complete one person’s tax forms. It randomly surveys 100 people. The sample mean is 23.6 hours. There is a known standard deviation of 7.0 hours. The population distribution is assumed to be normal. a. i. x ¯ =________ ii. σ =________ iii. n =________ b. In words, define the random variables X and X ¯ . c. Which distribution should you use for this problem? Explain...
In a random sample of 8 people, the mean commute time to work was 33.5 minutes and the standard deviation was 7.4 minutes. A 98% confidence interval using thet-distribution was calculated to be (25.7,41.3). After researching commute times to work, it was found that the population standard deviation is 8.6 minutes. Find the margin of error and construct a 98% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the...
in a random sample of 8 people, the mean commute time to work was 36.5 minutes and the standard deviation was 7.4 minutes. A 90% confidence interval using the t-distribution was calculated to be (31.5,41.5). After researching commute times to work, it was found that the population standard deviation is 9.3 minutes. find the margin of error and construct a 90% confidence interval using normal distribution with the appropriate calculations for a standard deviation that is known. compare the results....
In a random sample of 8 people, the mean commute time to work was 34.5 minutes and the standard deviation was 7.3 minutes. A 95% confidence interval using the t-distribution was calculated to be (28.4.40.6). After researching commute times to work, it was found that the population standard deviation is 9.4 minutes. Find the margin of error and construct a 95% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare...
In a random sample of 8 people, the mean commute time to work was 36.5 minutes and the standard deviation was 7.3 minutes. A 98% confidence interval using the t-distribution was calculated to be left parenthesis 28.8 comma 44.2 right parenthesis. After researching commute times to work, it was found that the population standard deviation is 8.5 minutes. Find the margin of error and construct a 98% confidence interval using the standard normal distribution with the appropriate calculations for a...
In a random sample of 8 people, the mean commute time to work was 36.5 minutes and the standard deviation was 7.3 minutes. A 98% confidence interval using the t-distribution was calculated to be left parenthesis 28.8 comma 44.2 right parenthesis. After researching commute times to work, it was found that the population standard deviation is 8.5 minutes. Find the margin of error and construct a 98% confidence interval using the standard normal distribution with the appropriate calculations for a...
8. (12 pointsThe recovery time for a flue is known to follow normal distribution with mean of 7 days. A medicine was developed. The medicine developing company stated that the recovery time decreases with the medicine. 25 patients diagnosed as the flue were randomly selected. They were given the medicine. After the experiment, we get the sample mean of 6.5 days, and sample standard deviation of 1.5 days. (1) (4pts) Let significance level a = 0.1, implement hypothesis test if...
In a random sample of 88 people, the mean commute time to work was 36.536.5 minutes and the standard deviation was 7.37.3 minutes. A 9090% confidence interval using the t-distribution was calculated to be left parenthesis 31.6 comma 41.4 right parenthesis(31.6,41.4). After researching commute times to work, it was found that the population standard deviation is 9.39.3 minutes. Find the margin of error and construct a 9090% confidence interval using the standard normal distribution with the appropriate calculations for a...