1. Congratulations! After passing your course in Business Statistics, you received a job as a statistical analyst at a major business corporation. Your first task is to decide which statistical test would be the most appropriate to use to analyze the following   problems.    Luckily, you remember learning about the following statistical tests in your favorite (and only) business statistics course.

A.   z-test for one sample mean                                           H.    t- test for paired data

B. z -test for one sample proportion                                   I.    F-test for the equality of variances

C.   t-test for one sample mean                                            J.    Single factor ANOVA

D.   t-test for two independent sample means                     K.    Chi square test for independence

E.   Chi-square test for a difference in two proportions        L.    Chi-square goodness of fit test.

F. Simple Regression Analysis                                                   

G.   Multiple Regression                      

a.   Gas Buddy reported that the mean gas price nationwide is $1.24 per liter for unleaded gas. The nationwide standard deviation is $0.19 per liter. A random sample of the price per liter for unleaded gas is taken at 35 gas stations in Vancouver. Which statistical test should be used to determine whether the average price of gas in Vancouver is significantly higher than the nationwide average?

Test: ____________ (from the above list, choose the letter that corresponds to the most appropriate test to analyze the data)

b A study of the effect of television commercials on 9 year old children measured attention span time (in seconds). There were three different commercial groups based on Food, Movies, or Games. A sample of 36 children were randomly assigned to one of the three commercial groups. Which statistical test should be used to determine whether there is a significant difference in the mean attention span time among the children in the three different commercial groups?

Test: ___________ (from the above list, choose the letter that corresponds to the most appropriate test to analyze the data)

c.   YVR has been redesigned with the goal of reducing flight delays. The delays (in minutes) for a random sample of flights before and after the upgrade are recorded. Which statistical test should YVR use to analyze the data in order to determine if the upgrades significantly reduced the average flight delay times?

Test: ___________ (from the above list, choose the letter that corresponds to the most appropriate test to analyze the data)

  d. A retirement center previously reported that residents spend an average of 4 hours per week using the computer. The retirement director thinks that time has increased. He asks a sample of 40 residents about their computer usage last week. Which statistical test should the director use to determine if the average computer usage time has significantly increased?

Test: ____________ (from the above list, choose the letter that corresponds to the most appropriate test to analyze the data)

The table below gives the list price and the number of bids received for five randomly selected items sold through online auctions. Using this data, consider the equation of the regression line, yˆ=b0+b1xy^=b0+b1x, for predicting the number of bids an item will receive based on the list price. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.

Step 1 of 6:

Find the estimated slope. Round your answer to three decimal places.

Step 2 of 6:

Find the estimated y-intercept. Round your answer to three decimal places.

Step 3 of 6:

According to the estimated linear model, if the value of the independent variable is increased by one unit, then the change in the dependent variable y^ is given by?

Step 4 of 6:

Determine the value of the dependent variable yˆ at x=0.

Step 5 of 6:

Determine if the statement "All points predicted by the linear model fall on the same line" is true or false.

Step 6 of 6:

Find the value of the coefficient of determination. Round your answer to three decimal places.

How do I do this in Minitab 1. The data set ‘Golf Disks’ is the weight in grams of a random sample of 12 Golf Disks (for playing disk golf). Construct a 95% CI for the mean weight of all golf discs produced by this particular manufacturer. State the meaning of μ first and then determine if the data set is ≈ normal by displaying a box plot and a normal probability plot, and then interpret the plots. Show the Minitab C.I. output and then ‘interpret’ the interval. Note that if the mean weight of the golf discs is less than 170 grams they do not meet the regulations of the PDGA. Based on the 95% CI for μ, do the discs made by this manufacturer qualify as regulation size?
172, 168, 170, 173, 172, 173, 171, 175, 173, 171, 169, 173

Some statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a mean of $0.72. Suppose that we randomly pick 25 daytime statistics students.

1. Give the distribution of X.

2. Give the distribution of

X.bar

(Round your standard deviation to three decimal places.)

3. Find the probability that an individual had between $0.68 and $1.00. (Round your answer to four decimal places.)

4. Find the probability that the average of the 25 students was between $0.68 and $1.00. (Round your answer to four decimal places.)

The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.05 level that the medicine relieves pain in less than 397 minutes . For a sample of 62 patients, the average time in which the medicine relieved pain was 402 minutes. with a standard deviation of 18. find p value- four decimal place

South Shore Construction builds permanent docks and seawalls along the southern shore of Long Island, New York. Although the firm has been in business only five years, revenue has increased from $315,000 in the first year of operation to $1,075,000 in the most recent year. The following data show the quarterly sales revenue in thousands of dollars.

a. Which of the following is the correct time series plot?

What type of pattern exists in the data?

There appears to be a seasonal pattern in the data and perhaps a

b. Use the following dummy variables to develop an estimated regression equation to account for any seasonal effects in the data: Qtr1=1 if Quarter 1, 0 otherwise; Qtr2=1 if Quarter 2, 0 otherwise; Qtr3=1 if Quarter 3, 0 otherwise. Round your answers to whole number.

Revenue= _ + _ Qtr1 + _ Qtr2 + _ Qtr3

Compute the quarterly forecasts for next year.

c. Let Period =1 to refer to the observation in quarter 1 of year 1; Period=2 to refer to the observation in quarter 2 of year 1; . . . and Period=20 to refer to the observation in quarter 4 of year . Using the dummy variables defined in part (b) and Period, develop an estimated regression equation to account for seasonal effects and any linear trend in the time series. Based upon the seasonal effects in the data and linear trend, compute the quarterly forecasts for next year. Round your answers to whole number. Enter negative value as negative number.

The regression equation is:

Revenue = _ + _ Qtr1 + _ Qtr2 + _ Qtr3 + _ Period

The quarterly forecasts for next year are as follows:

Nine people (Ann, Ben, Cal, Dot, Ed, Fran, Gail, Hal, and Ida) are in a room. Five of them stand in a row for a picture. In how many ways can this be done if Ann and Ben must be in the picture but not standing next to each other?

How many positive integers not exceeding 1000 are divisible by 4, 6, or 9? Compute all the way to the final answer – a single number

Professor decided to conduct an experiment determining the differences taking tutoring or not across college year on statistics grades.

Is there an interaction, if yes, what are the effects?

Every 4 years, we come together as a nation to vote on who will represent us as a nation, who will lead the country in domestic and foreign affairs, who will hold the title of President of the United States of America. Research and read/view the election platform statements, winning nomination speech, and inaugural address of the current President of the United States. In this discussion board, compare these primary sources to the current domestic and foreign policy planning and decisions of the President. Are their correlations between plan and action to stated goals and promises? What challenges will the President face in accomplishing these goals and promises? What other situations arose throughout the election and beginning his term in office that led to possible changes to the original goals and promises.

Suppose that the abilities of two new radar systems to detect packages dropped by an airplane are being compared. In a series of trials, radar system #1 detected the packages being dropped 51 times out of 60 while radar system #2 detected the packages being dropped 35 times out of 50. A 99% confidence interval for the differences between the probabilities p1−p2p1−p2 that the radar systems successfully detect dropped packages is:

Select one:

a. (0.03, 0.07)    

b. (-0.15, 0.15)

c. (0.04, 0.06)    

d. (-0.05, 0.35)

e. (-0.12, 0.22)    

A clinical trial is run to evaluate the efficacy of a new medication to relieve pain in patients undergoing total knee replacement surgery. In the trial, patients are randomly assigned to receive either the new medication or the standard medication. After receiving the assigned medication, patients are asked to report their pain on a scale of 0-100 with higher scores indicative of more pain. Data on the primary outcome are shown below.

Because procedures can be more complicated in older patients, the investigators are concerned about confounding by age. For analysis, patients are classified into two age groups, less than 65 and 65 years of age and older. The data are shown below.

1. Is there a statistically significant difference in mean pain scores between patients assigned to the new medication as compared to the standard medication? Run the appropriate test at =0.05. (Ignore age in this analysis.)

1. An employer believes that there is a correlation between the number of years of service and how many sick days an employee takes in a year. A random sample of 13 employees gave the following results:

Calculate showing all work and do not round any answer until the final statement in part d)

1. Determine the regression equation for this data. Do not round your values.

2. Determine the expected number of sick days if a person has 11 years of service. Do not round your value.

3. Given the formula below calculate the standard error of the estimate. Show all your work for full marks.

Do not round your final value.

4. Compute the 90% confidence interval for the mean number of sick days for employees with 11 years of service. Show your final unrounded value. Include a final statement indicating your findings rounded 2 decimal places.

Create a case on the application of inferences about the difference between two population means (σ1 and σ2 known) and explain the hypothesis tests until conclusion.

he scores of students on the ACT (American College Testing) college entrance examination in a recent year had the normal distribution with mean μ = 18 and standard deviation σ = 6. 100 students are randomly selected from all who took the test.

a. What is the probability that the mean score for the 100 students is between 17 and 19 (including 17 and 19)?

b. A student is eligible for an honor program if his/her score is higher than 25. Find an approximation to the probability that at least 15 students of the 100 students are eligible for the honor program.

c. If the sample size is 4 (rather than 100), what is the probability that more than 50% (not include 50%) students are eligible for the honor program?

Is your complete second-order model a statistically useful model for predicting your dependent variable? Justify your response.

complete model = B₀+B₁X₁+B₂(X₁)²+B₃X₂+B₄X₁X₂+B₅(X₁)²X₂