Question

- Danvers-Hilton Resort Hotel states that its weekend guest bill has been on average $1,200 for the last 5 years with a standard deviation of $200. The CEO believes that this year the value of weekend bills has changed and he hires you to statistically test whether this is true. You collect a sample of 100 weekend bills finding an average amount of $1,230. You state the following hypothesis:

H_{0 :} µ = 1200

H_{a} : µ ≠ 1200

- Conduct a hypothesis test using a critical-value approach allowing for 5% error.
- Conduct a hypothesis test using a p-value approach allowing 5% error.
- According to the statistical analysis you have performed above, what is your answer to the CEO?

Answer #1

The manager of Danvers Hilton Resort Hotel stated that
the mean guest bill for a weekend is $600 or less. A member of the
hotel’s accounting staff noticed that the total charges for guest
bills have been increasing in recent months. The accountant will
use a sample of weekend guest bills to test the manager’s
claim.

The data shown below ($), for a sample of 20 guest bills for
Danvers-Hilton resort hotel for a weekend. Assume the population is
approximately normal. Develop a 95% confidence interval for the
mean guest bills of Danvers-Hilton resort hotel. 1905 2962 2545
2529 2627 2725 2184 2525 2442 2857 2677 2332 2370 2312 2675 2600
3112 2545 2981 2115
: Upper Bound: 2478.35, Lower Bound: 2147.25
Upper Bound: 2758.95, Lower Bound: 2409.98
Upper Bound: 2714.95, Lower Bound: 2387.05
Upper Bound:...

The data shown below ($), for a sample of 20 guest bills for
Danvers-Hilton resort hotel for a weekend. Assume the population is
approximately normal. Develop a 90% confidence interval for the
mean guest bills of Danvers-Hilton resort hotel.
1905, 3250 ,2545, 2529, 2627, 2725, 2854, 2525, 2442, 2857,
2677, 2143 ,2370, 2312 ,2675, 2600 ,2018, 2545, 2981 ,2115
A: Upper Bound: 2692.02, Lower Bound: 2258.25
B:Upper Bound: 2758.95, Lower Bound: 2409.98
C: Upper Bound: 2478.35, Lower Bound: 2147.25
D:...

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