The manager of a vacation resort has claimed that, on average, a guest spends at least \$3000 at the resort during a one week stay, including meals and entertainment. A member of the accounting staff does not believe the amount is that high. They authorize you to settle their dispute. You take a Simple Random Sample (n = 18) of guests that had stayed a the resort over the last several weeks. Tracking the spending of these guests at the resort you determine that the guests spend a mean of \$2925 with a standard deviation of \$93. Test the manager's claim that the guests spend a mean of \$3000 or more versus the accountant's claim that the mean is actually less than \$3000. You may assume a = .05 and the population is symmetric and mounded.

a.p0 (Ho Ha

b. p0 What is the critical value of the test statistic?

c. p0 State the decision rule

d. p0 Sketch the region(s) of acceptance and rejection in the graph

e. p0 Show the calculated test statistic and then state the statistical decision.

f. p0 What would you tell the manager and accountant about their dispute?

1. 0
2. 0
3. 1
1. Ho: µ ≥ 3000 -->this is the null hypothesis.
Ha: µ < 3000 -->this is the alternate or alternative hypothesis.

You can use a one-sample t-test formula for this problem since the sample size is less than 30.

Using a t-table at 0.05 level of significance for a one-tailed test (alternate or alternative hypothesis shows a specific direction) at 17 degrees of freedom (df = n - 1 = 18 - 1 = 17), check for your critical value. This will determine your rejection region.

Does the test statistic from the t-test formula exceed the critical value from the t-table? If it does, reject the null. If the test statistic does not exceed the critical value from the t-table, do not reject the null. You can draw your conclusions from there.

I hope this will help get you started.

1. 0
2. 0
posted by MathGuru

## Similar Questions

1. ### Basic Statistics

home / study / questions and answers / math / statistics and probability / the manager of a vacation resort has claimed that, ... Question The manager of a vacation resort has claimed that, on average, a guest spends at least
2. ### Math

While traveling for vacation, you have decided to divide your lodging between a resort and a regular stay hotel. Let x represent the number of nights you will spend in a resort and let y represent the number of nights you will
3. ### Math

While traveling for vacation, you have decided to divide your lodging between a resort and a regular stay hotel. Let x represent the number of nights you will spend in a resort and let y represent the number of nights you will
4. ### Math

Julia spends 5/9 of her vacation at summer camp. She spends 3/4 of the remaining time at her grandparent's home. The remaining 7 days she spends at the seashore with her family. How many days of summer vacation does she get each
5. ### Math

3) While traveling for vacation, you have decided to divide your lodging between a resort, and a regular stay hotel. Let x represent the number of nights you will spend in a resort, and let y represent the number of nights you
6. ### MATH

While traveling for vacation, you have decided to divide your lodging between a resort and a regular stay hotel. Let x represent the number of nights you will spend in a resort and let y represent the number of nights you will
7. ### math

Please help. mr trocki is the groundskeeper for a vacation resort. he has programmed the sprinkler system to run at night in three different zones. The sprinklers turn on at midnight and run until 7am. the fist zone runs every 90
8. ### Math

mr trocki is the groundskeeper for a vacation resort. he has programmed the sprinkler system to run at night in three different zones. The sprinklers turn on at midnight and run until 7am. the fist zone runs every 90 minutes, the
9. ### Statistics

A resort tracks the number of days each guest stays. They've discovered that this variable is normally distributed with a mean of 9 days and a standard deviation of 3. They would expect 10% of the guest stay longer than how many
10. ### Math

On their vacation, the Li family traveled from their home to a resort in the mountains. The odometer in their car read 35286.9 miles when they started and 35514.2 miles when they returned home. What was the distance from their

More Similar Questions