Question

A manager wishes to find out whether there is a relationship between the number of radio...

A manager wishes to find out whether there is a relationship between the number of radio ads aired per week and the amount of sales (in thousands of dollars) of a product. The data for the sample follow.

# of ads, x   2 5 8 8 10 12
Sales, y      $2 $4 $7 $6 $9 $10

1. The alternative hypothesis would be:

2. The test is 2-tailed and the degrees of freedom are 4.

True

False

3. If α = .05, then the critical values are found in the t-table and are + 2.776.

True

False

4.

After finding the test value t = 12.793, we will decide to reject the null hypothesis.

True

False

5. The summary would be:

There is a significant linear relationship between number of radio ads and sales.

There is not a significant linear relationship between number of radio ads and sales.

Homework Answers

Answer #1

1. The alternative hypothesis would be:

There is a significant linear relationship between number of radio ads and sales.

2. The test is 2-tailed and the degrees of freedom are 4.

df = n - 2 = 6 - 2 = 4

True

3. If α = .05, then the critical values are found in the t-table and are + 2.776.

for df = 4 and α = .05 t = +/-2.776

t critical value are -2.776 and 2.776

False

4. After finding the test value t = 12.793, we will decide to reject the null hypothesis.

As t > t_c ( we reject the null hypothesis )

True

5. The summary would be:

There is a significant linear relationship between number of radio ads and sales.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A manager wishes to find out whether there is a relationship between the number of radio...
A manager wishes to find out whether there is a relationship between the number of radio ads aired per week and the amount of sales of a product. The data for the sample follows. # of ads (x) 2 5 8 8 10 12 Sales (y)    $2,000 $4,000 $7,000 $6,000 $9,000 $10,000 If the equation of the regression line is y = a + bx, then the value for "a" is: Round to whole number.  
A store manager wishes to find out whether there is a relationship between the age of...
A store manager wishes to find out whether there is a relationship between the age of her employees and the number of sick days they take each year. The data for the sample follow. Test the hypothesis at α =0.05. Use Table I. Age, x 18 26 39 48 53 58 Days, y 16 12 9 5 6 2 Find the correlation coefficient (r). a. -0.979 b. 0.979 c. 0.911 d. -0.911 he critical values are: a. ±0.811 b. ±0.878...
A manager wishes to determine the relationship between the number of years the manager's sales representatives...
A manager wishes to determine the relationship between the number of years the manager's sales representatives have been with the company and their average monthly sales (in thousands of dollars). Calculate the linear correlation coefficient. Years with company, x Sales, y 5 34 6 36 13 81 10 65 11 68 18 64 6 51 4 58 14 123
A baseball manager wishes to find out if there is a relationship between the number of...
A baseball manager wishes to find out if there is a relationship between the number of homeruns and the number of strikeouts in a season by batters. The data for the sample are shown: Homeruns, x: 23 62 10 51 38 Strikeouts, y: 61 175 40 129 124 a) Compute the value of the correlation coefficient. b) Find the equation of the regression line. c) Find y’ (the number of strikeouts) when x = 28. (someone hits 28 homeruns)
A manager wishes to determine the relationship between the number of miles (in hundreds of miles)...
A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representatives travel per month and the amount of sales (in thousands of dollars) per month. For the given data calculate the following: X=miles travelled 5 6 12 10 11 15 6 y=sales 31 32 70 61 64 60 45 a) Correlation coefficient b) Equation of regression line c) Find the value of sales when they travelled is 7 miles.
You want to determine whether or not there is a significant relationship between IQ and eye-hand...
You want to determine whether or not there is a significant relationship between IQ and eye-hand coordination. You obtain scores for the 62 students in a university class on both an IQ test and an eye-hand coordination test. (a) State the null hypothesis. (b) Given the number of students in your study, what is the tabled value of r for significance at the .05 error (95% confidence) level? Use a two-tailed test. (c) Assume that you calculate a Pearson r...
An advertising firm wishes to demonstrate to potential clients the effectiveness of the advertising campaigns it...
An advertising firm wishes to demonstrate to potential clients the effectiveness of the advertising campaigns it has conducted. The firm is presenting data from 9 recent campaigns, with the data indicating a correlation between advertising and sales. In particular, r=0.61 for the variables cost of advertising campaign and resulting percentage increase in sales for the 9 campaigns. Using this information, test for a significant linear relationship between these two variables by doing a hypothesis test regarding the population correlation coefficient...
Barclay's manager of Financial Service wants to find out the relationship between the number of client...
Barclay's manager of Financial Service wants to find out the relationship between the number of client contacts and the dollar amount of sales ($ thousands). She recorded the amount of sales ($ thousands) last month from ten randomly selected clients. The results from the Regression are presented below: y^=1.4606x-6.5321;R2=0.735 What are the Independent and Dependent Variables? Independent variable:   Dependent variable:   What is the value of the correlation coefficient? Interpret it. What % of the variation in the amount of sales...
A trainer wishes to find out if there is a relationship between the number of miles...
A trainer wishes to find out if there is a relationship between the number of miles walked per week and the weight of a person. The data for the sample are shown: Miles Walked, x: 15 20 3 12 17 8 Weight (lbs.), y: 147 106 210 160 122 165 a) Compute the value of the correlation coefficient. b) Find the equation of the regression line. c) Find y’ (the weight) when x = 11. (Someone walks 11 miles).
A manager at a company analyzed the relationship between the weekly record sales and factors affecting...
A manager at a company analyzed the relationship between the weekly record sales and factors affecting its sales with a sample of 200 records. The independent variables included in the regression model are as follows: x1: Advertising budget (thousands of dollars), x2: No. of plays on radio per week, x3: Attractiveness of band, The following ANOVA summarizes the regression results. Table 1: ANOVA Source of Variation df Source of Squares Mean Square F R Squared Regression 861377.418 0.665 Residual or...