Greetings Please assist by answering thebelow homework questions The chamber of commerce of a Florida Gulf Coast community advertises that area residential property is available at a mean cost of R125,000 or less per lot Suppose a sample of 32 properties provided a sample mean of R130,000 per lot and a sample standard deviation of R12,500 Use a 05 level of significance to test the validity of the advertising claim Draw diagrams and show all working out The College Board reported that the average number of freshman class applications to public colleges and universities is 6000 (USAToday,December26, 2002) During a recent application enrollment period, a sample of 32 colleges and universities showed that the sample mean number of freshman class applications was 5812 with a sample standard deviation of 1140 Does the data indicate a change in the mean number of applications Use 05 Shorney Construction Company bids on projects assuming that the mean idle time per worker is 72 or fewer minutes per day A sample of 30 construction workers will be used to test this assumption Assume that the population standard deviation is 20 minutes State the hypotheses to be tested What is the probability of making a Type II error when the population mean idle time is 80 minutes What is the probability of making a Type II error when the population mean idle time is 75 minutes What is the probability of making a Type II error when the population mean idle time is 70 minutes (For the probabilities, use the appropriate tables) The U S Energy Administration reported that the mean price for a gallon of regular gasoline in the United States was $2 357 (U S Energy Administration, January 30, 2006) Data for a sample of regular gasoline prices at 50 service stations in the Lower Atlantic states are contained in the data file named Gasoline Conduct a hypothesis test to determine whether the mean price for a gallon of gasoline in the Lower Atlantic states is different from the national mean Use 05 for the level of significance, and state your conclusion Thanks

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Greetings

Please assist by answering thebelow homework questions.

The chamber of commerce of a Florida Gulf Coast community advertises that area residential property is available at a mean cost of R125,000 or less per lot. Suppose a sample of 32 properties provided a sample mean of R130,000 per lot and a sample standard deviation of R12,500. Use a .05 level of significance to test the validity of the advertising claim. Draw diagrams and show all working out.
The College Board reported that the average number of freshman class applications to public colleges and universities is 6000 (USAToday,December26, 2002). During a recent application/enrollment period, a sample of 32 colleges and universities showed that the sample mean number of freshman class applications was 5812 with a sample standard deviation of 1140. Does the data indicate a change in the mean number of applications? Use = .05.
Shorney Construction Company bids on projects assuming that the mean idle time per worker is 72 or fewer minutes per day. A sample of 30 construction workers will be used to test this assumption. Assume that the population standard deviation is 20 minutes.

State the hypotheses to be tested.
What is the probability of making a Type II error when the population mean idle time is 80 minutes?
What is the probability of making a Type II error when the population mean idle time is 75 minutes?
What is the probability of making a Type II error when the population mean idle time is 70 minutes?

(For the probabilities, use the appropriate tables)

The U.S. Energy Administration reported that the mean price for a gallon of regular gasoline in the United States was $2.357 (U.S. Energy Administration, January 30, 2006). Data for a sample of regular gasoline prices at 50 service stations in the Lower Atlantic states are contained in the data file named Gasoline. Conduct a hypothesis test to determine whether the mean price for a gallon of gasoline in the Lower Atlantic states is different from the national mean. Use = .05 for the level of significance, and state your conclusion.

Thanks