A survey of a sample of 26 hotels in New Orleans found that the average hotel room rate s $88.42 with a standard deviation of $5.62 and another survey of 25 hotels in the Phoenix area found that the average room rate is $80.61. Assume with a standard deviation of $4.83. At α =  0.05, can it be concluded that there is a significant difference in the rates?
Source: USA TODAY.
Make sure to state Ho, H1 and where the claim is
State the value of the test statistic
Calculate the p-value
Make a decision to reject Ho or fail to reject Ho
State your conclusion in words in the context of the claim
You may use your TI 84 but make sure to state the name of the test you used.
When using calculator and when it comes to choose Yes or No for pooled, keep it at the default No.
Here is what pooled means: If we assume that population variances are equal we select YES and if we assume that population variances are not equal, we select No. By default, use No unless if it is specified otherwise.

Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in the variability in the number of rooms occupied per day during a particular season of the year. A sample of 24 days of operation shows a sample mean of 299 rooms occupied per day and a sample standard deviation of 32 rooms.

What is the point estimate of the population variance?

Provide a 90% confidence interval estimate of the population variance (to 1 decimal).
( ___,____ )

Provide a 90% confidence interval estimate of the population standard deviation (to 1 decimal).

(____,_____)

It is interesting to determine whether the rates of a hotel in Los Angeles, Atlanta, Houston, and Phoenix are the same or not. Seven hotels are sampled in Los Angeles, five hotels are sampled in Atlanta and Houston, while six hotels are sampled in Phoenix. Data are not reported, only the mean and standard deviation for each city are given for statistical analysis.

A) State the Null and alternative hypothesis you are testing

B) Compute the respective SS and fill in the ANOVA table to summarize the comparison.

C) Based on the F value, what is your conclusion, use a= 0.025. What is the best you can say about the P value based on the F tables.

D) Find the 95% confidence interval’s for the true average of Los Angeles and Atlanta.

A hotel in Saint Augustine books an average of 50 rooms per night. There is a standard deviation of 10 rooms per night. What is the probability that...

a) more than 50 rooms are booked on a given night?

b) between 50 and 60 rooms are booked on a given night?   

c) 60 rooms or less are booked on a given night?   

d) between 30 and 70 rooms are booked on a given night?

e) less than 40 rooms are booked on a given night?

Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in the variability in the number of rooms occupied per day during a particular season of the year. A sample of 29 days of operation shows a sample mean of 300 rooms occupied per day and a sample standard deviation of 35 rooms.

1. What is the point estimate of the population variance?
   
   
2. Provide a 90% confidence interval estimate of the population variance (to 1 decimal).
   (  ,  )
   
3. Provide a 90% confidence interval estimate of the population standard deviation (to 1 decimal).
   (  ,  )

a) In order to determine the average price of hotel rooms in Atlanta. Using a 0.1 level of significance, we would like to test whether or not the average room price is significantly different from $110. The population standard deviation is known to be $16. A sample of 64 hotels was selected. The p-value associated with the test statistic (z) is calculated and it is 0.03. We conclude that the average price of hotel rooms in Atlanta is NOT significantly different from $110. (Enter 1 if the conclusion is correct. Enter 0 if the conclusion is wrong.)

b) A sample of 27 account balances of a credit company showed an average balance of $1,169 and a standard deviation of $139. You want to determine if the mean of all account balances is significantly greater than $1,150. Use a 0.05 level of significance. Assume the population of account balances is normally distributed. Compute the test statistic.

c) A sample of 30 account balances of a credit company showed an average balance of $1,170 and a standard deviation of $125. You want to determine if the mean of all account balances is significantly greater than $1,150. Assume the population of account balances is normally distributed. Compute the p-value for this test.

d) A sample of 28 account balances of a credit company was taken to test whether the mean of all account balances is significantly greater than $1,150. Using the sample standard deviation, the test statistic (t) was calculated to be $1.89. We use a 0.05 level of significance. Assume the population of account balances is normally distributed and the population standard deviation is unknown to us. We conclude that the mean of all account balances is significantly greater than $1,150. (Enter 1 if the conclusion is correct. Enter 0 if the conclusion is wrong.)

Regarding the hotel/hospitality industry

Who are the competitors? Is it easy to start a business in this industry? Are there significant entry barriers? What are the dominant characteristics and current trends in your industry?

Discuss industry size in terms of the number of companies, total employment, capital investment, major customers, and annual revenues. What are the driving forces of change in the industry, (e.g., innovation, technology, and buyer preferences and lifestyles)? State how organizations compete within the industry and identify the critical success factors in this industry.

Suppose the guests at the hotel have an average weight of 180 with a standard deviation of 50 pounds. An elevator is designed to carry only 10 people with a maximum capacity of 2400 pounds.

5. What is the mean of the sample mean?

6. What is the standard deviation for the sample mean of the 10 people? (Use 2 decimals)

7. If 10 guest ride the elevator at one time, what is the probability that the elevator is overweight? (Hint: If the 10 people weigh more than 2400 pounds, how much does each person have to weigh on average? (Use 4 decimals)

8. If 12 guests ride in the elevator at one time, now what is the probability that the elevator is overweight? (Hint: the standard deviation also changes here) (Use 4 decimals)

According to a research​ institution, the average hotel price in a certain year was

​$107.64

.

Assume the population standard deviation is

​$20.00

and that a random sample of

46

hotels was selected. Complete parts a through d below.

a. Calculate the standard error of the mean.

sigma Subscript x overbar

equals​$nothing

​(Round to two decimal places as​ needed.)

b. What is the probability that the sample mean will be less than

​$109

​?

Upper P left parenthesis x overbar less than $ 109 right parenthesis

equalsnothing

​(Round to four decimal places as​ needed.)

c. What is the probability that the sample mean will be more than

​$113

​?

Upper P left parenthesis x overbar greater than $ 113 right parenthesis

equalsnothing

​(Round to four decimal places as​ needed.)

d. What is the probability that the sample mean will be between

​$106

and

​$108

​?

Upper P left parenthesis $ 106 less than or equals x overbar less than or equals $ 108 right parenthesis

equalsnothing

​(Round to four decimal places as​ needed.)

According to a research​ institution, the average hotel price in a certain year was ​$95.82 . Assume the population standard deviation is ​$18.00 and that a random sample of 36 hotels was selected. Complete parts a through d below. a. Calculate the standard error of the mean. sigma Subscript x overbar equals​$nothing ​(Round to two decimal places as​ needed.) b. What is the probability that the sample mean will be less than ​$98 ​? Upper P left parenthesis x overbar less than $ 98 right parenthesis equalsnothing ​(Round to four decimal places as​ needed.) c. What is the probability that the sample mean will be more than ​$100 ​? Upper P left parenthesis x overbar greater than $ 100 right parenthesis equalsnothing ​(Round to four decimal places as​ needed.) d. What is the probability that the sample mean will be between ​$94 and ​$96 ​? Upper P left parenthesis $ 94 less than or equals x overbar less than or equals $ 96 right parenthesis equalsnothing ​(Round to four decimal places as​ needed.