A suburban hotel derives its revenue from its hotel and restaurant operations. The owners are interested in the relationship between the number of rooms occupied on a nightly basis and the revenue per day in the restaurant. Below is a sample of 25 days (Monday through Thursday) from last year showing the restaurant income and number of rooms occupied.

1. Choose the scatter diagram that best fits the data.

• Scatter diagram 1

• Scatter diagram 2

• Scatter diagram 3

2. Determine the coefficient of correlation between the two variables. (Round your answer to 3 decimal places.)

1. c-1. State the decision rule for 0.01 significance level: H₀: ρ ≤ 0; H₁: ρ > 0. (Round your answer to 3 decimal places.)

1. c-2. Compute the value of the test statistic. (Round your answer to 2 decimal places.)

1. c-3. Is it reasonable to conclude that there is a positive relationship between revenue and occupied rooms? Use the 0.01 significance level.

4. What percent of the variation in revenue in the restaurant is accounted for by the number of rooms occupied? (Round your answer to 1 decimal place.)

A suburban hotel derives its revenue from its hotel and restaurant operations. The owners are interested in the relationship between the number of rooms occupied on a nightly basis and the revenue per day in the restaurant. Below is a sample of 25 days (Monday through Thursday) from last year showing the restaurant income and number of rooms occupied. Day Revenue Occupied Day Revenue Occupied 1 $ 1,452 32 14 $ 1,425 29 2 1,361 30 15 1,445 31 3 1,426 33 16 1,439 33 4 1,470 33 17 1,348 30 5 1,456 33 18 1,450 34 6 1,430 29 19 1,431 30 7 1,354 29 20 1,446 30 8 1,442 30 21 1,485 30 9 1,394 32 22 1,405 32 10 1,459 30 23 1,461 32 11 1,399 33 24 1,490 32 12 1,458 31 25 1,426 33 13 1,537 34

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Choose the scatter diagram that best fits the data.

Scatter diagram 1 Scatter diagram 2 Scatter diagram 3

Scatter diagram 1 Scatter diagram 2 Scatter diagram 3

Determine the coefficient of correlation between the two variables. (Round your answer to 3 decimal places.)

c-1. State the decision rule for 0.05 significance level: H0: ρ ≤ 0; H1: ρ > 0. (Round your answer to 3 decimal places.)

c-2. Compute the value of the test statistic. (Round your answer to 2 decimal places.)

c-3. Is it reasonable to conclude that there is a positive relationship between revenue and occupied rooms? Use the 0.05 significance level. What percent of the variation in revenue in the restaurant is accounted for by the number of rooms occupied? (Round your answer to 1 decimal place.)

Refer to the accompanying data set and construct a 90​% confidence interval estimate of the mean pulse rate of adult​ females; then do the same for adult males. Compare the results.

Construct a 90​% confidence interval of the mean pulse rate for adult females.

___ bpm < mu < ___ bpm

​(Round to one decimal place as​ needed.)

Construct a 90​% confidence interval of the mean pulse rate for adult males.

___ bpm < mu < ___ bpm (Round to one decimal place as​ needed.)

Compare the results.

A. The confidence intervals do not​ overlap, so it appears that adult females have a significantly higher mean pulse rate than adult males.

B. The confidence intervals​ overlap, so it appears that adult males have a significantly higher mean pulse rate than adult females.

C. The confidence intervals​ overlap, so it appears that there is no significant difference in mean pulse rates between adult females and adult males.

D. The confidence intervals do not​ overlap, so it appears that there is no significant difference in mean pulse rates between adult females and adult males.

The owner of a specialty coffee shop wants to study coffee purchasing habits of customers at her shop. She selects a random sample of 60 customers during a certain week. Data are available in the worksheet labeled “Problem 2” in the spreadsheet Final_SU2020_Data_Sets.xlsx. 1. At the ? = 0.1 level of significance, is there evidence that more than 50% of the customers say they “definitely will” recommend the specialty coffee shop to family and friends? 2. Construct a 90% confidence interval on the proportion of customers who say they “definitely will” recommend the specialty coffee shop to family and friends.

Note: Y is an indicator variable, i.e., if Y=1, then customer said they "definitely would" recommend specialty shop to family and friends, and Y=0 otherwise.

The owner of a specialty coffee shop wants to study coffee purchasing habits of customers at her shop. She selects a random sample of 60 customers during a certain week. Data are available in the worksheet labeled “Problem 2”.

1. At the a = 0.1 level of significance, is there evidence that more than 50% of the customers say they “definitely will” recommend the specialty coffee shop to family and friends?

2. Construct a 90% confidence interval on the proportion of customers who say they “definitely will” recommend the specialty coffee shop to family and friends.

Problem 2 Data Set

The formula =60*RAND() will output a random number between 0 and 60. This can be used to simulate the time someone arrives at an airport between 1 and 2 p.m. If =60*RAND() returns the value 23.456 that would indicate a person arrived at about 1:23 p.m. (1:23:27 p.m. if you want to be fussy.) Set up two cells, each with =60*RAND() to model a situation where two people arrive at an airport between 1 and 2 p.m. Set up a third cell for the difference between the two times. Then generate a data table and pivot table to answer the question: What is the probability that the two people will arrive within ten minutes of each other? (Hint: Group the data into ten minute intervals once you have the Pivot Table.) Using excel please

Is there a relationship between handedness and gender? A researcher collected the following data in hopes of discovering if handedness and gender are independent (Ambidextrous individuals were excluded from the study). Use the Chi-Square test for independence to explore this at a level of significance of 0.05. List the steps taken in SPSS to enter the given data and perform the Chi-Square test for independence.

An important factor in selling a residential property is the number of people who look through the home. A sample of 27 homes recently sold in the Halifax, Nova Scotia, area revealed the mean number looking through each home was 49 and the standard deviation of the sample was 10 people. Develop a 95% confidence interval for the population mean. (Round the final answers to 2 decimal places.)

Confidence interval for the population mean is between and .

. A set of anatomy test scores has a mean of 27 and a standard deviation of 4.2. Calculate the raw scores for each of the following z scores: –5.3, –2.1, 0, 1, and 3.1.

8. For the following research question, create one null hypothesis, one directional research hypothesis, and one nondirectional research hypothesis.

• What is the relationship between the quality of a marriage and the quality of the spouses’ relationships with their siblings?

Null:

Directional:

Nondirectional:

Which of the following statements is true? [1 mark]

1. Closing entries are required at the end of each accounting period to close all ledger accounts

2. Closing entries are designed to transfer the end-of-period balances in the revenue accounts, the expense accounts, and the withdrawals account to owner's capital.  

3. Asset, liability, and revenue accounts are not closed while a company continues in business.

4. The income summary account is used during the adjusting process to hold revenue, expenses, and withdrawals, before the net difference is added to or subtracted from the owner’s capital.

5. The 4 steps in closing are, close; (1) credit balances in revenue accounts to Income Summary; (2) credit balances in expense accounts to Income Summary; (3) Income Summary to Owner's Capital; (4) Withdrawals to Owner's Capital.

Which of the following is true? [1 mark]

1. Matching principle requires expenses to be recorded in the same accounting period as they are incurred.
2. Closing entries are necessary so that owner's capital will begin each period with a zero balance.
3. When total debits equal the total credits in a trial balance it guarantees no errors were made.
4. The last 4 steps in the accounting cycle include analyzing, journalizing, posting, and preparing a trial balance.
5. Temporary accounts accumulate financial data related to one period. Temporary accounts include revenue, expenses, accumulated depreciation, and withdrawals.

. Which of the following statements is false? [1 mark]

1. The cash basis of accounting recognizes revenues when cash is received from customers.
2. The accrual basis of accounting recognizes expenses when they are incurred.
3. The cash basis of accounting recognizes expenses when cash is paid.
4. The accrual basis of accounting recognizes revenue when it is earned.
5. The cash basis of accounting requires adjustments to match expenses with revenues.