Question

In: Statistics and Probability

Jones and Smith’s advertising company wish to know if cartoons on cereal boxes cause children to...

Jones and Smith’s advertising company wish to know if cartoons on cereal boxes cause children to attribute higher taste ratings to the cereal. The advertising company hires a psychologist to conduct a study before developing a sales plan for the cereal. The psychologist randomly selects 24 participants for a pilot study. She randomly assigns the sample so that 12 participants eat the   cereal with the cartoon on the box while the other 12 participants eat the cereal without a cartoon on the box. All participants then rated the taste of the cereal. Here are the ratings:

Without Cartoon                                                 With Cartoon

3                                                                                            3

4                                                                                            4

7                                                                                            8

5                                                                                            7

8                                                                                            8

8                                                                                            8

4                                                                                            9

7                                                                                            4

5                                                                                            7

6                                                                                            6

6                                                                                            8

7                                                                                            4

l. What is the researcher’s hypothesis?

____________________________________________________________________________________________________________________________________________________________________________

2. What is the null hypothesis?

________________________________________________________________________

3. Exactly what mean differences are you comparing here?

___________________________________________________________________________________________________________________________________________________________________________

4. What is the dependent variable? ________________________________________

5. What is the independent variable? __________________________________________

6. Please analyze the data with the appropriate hypothesis test on SPSS and cut and paste your SPSS results here:

Based on your SPSS results that you pasted above, please answer the following questions:

7. Please write your “statistical statement”: ___________________________________

8. Did you reject or fail to reject the null hypothesis? ____________________________

9. Please write your results in a “literature” or “research study” format:

___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Solutions

Expert Solution

l. What is the researcher’s hypothesis?

Cartoons on cereal boxes cause children to attribute higher taste ratings to the cereal.

2. What is the null hypothesis?

Cartoons on cereal boxes have no effect on the rating given by children to the cereal.

3. Exactly what mean differences are you comparing here?

We are calculating the mean difference of ratings of children given to the boxes with and without cartoons.

4. What is the dependent variable?

The dependent variable is the rating given by the box.

5. What is the independent variable?

Independent variable is the factor of the cartoon being present on the box or not.

6. Please analyze the data with the appropriate hypothesis test on SPSS and cut and paste your SPSS results here:

Based on your SPSS results that you posted above, please answer the following questions:

7. Please write your “statistical statement”:

T-Test of difference = 0 (vs not =):

T-Value = 0.66

P-Value = 0.518

DF = 22

P-value is greater than Alpha level 0.05.

8. Did you reject or fail to reject the null hypothesis?

We fail to reject the null hypothesis.

9. Please write your results in a “literature” or “research study” format:

The p-value is not significant. We cannot reject the null hypothesis. There is no significant difference between the ratings given by the children for the cereals with cartoons and without cartoons.


Related Solutions

Suppose that the weight of open boxes of cereal in a home with children is uniformly...
Suppose that the weight of open boxes of cereal in a home with children is uniformly distributed from two to six pounds with a mean of four pounds and standard deviation of 1.1547. We randomly survey 64 homes with children. a) Find the probability that the total weight of open boxes is less than 257 pounds. (Round your answer to four decimal places.) b) Find the 45th percentile for the total weight of open boxes of cereal. (Round your answer...
Lloyd's Cereal company packages cereal in 1 pound boxes (16 ounces). A sample of 25 boxes...
Lloyd's Cereal company packages cereal in 1 pound boxes (16 ounces). A sample of 25 boxes is selected at random from the production line every hour, and if the average weight is less than 15 ounces, the machine is adjusted to increase the amount of cereal dispensed. If the mean for 1 hour is 1 pound and the standard deviation is 0.2 pound, what is the probability that the amount dispensed per box will have to be increased?
A cereal company claims that the mean weight of the cereal in its boxes is 14.8...
A cereal company claims that the mean weight of the cereal in its boxes is 14.8 oz. The weights (in ounces) of the cereal in a random sample of eight of its cereal boxes are listed below: 14.6, 13.8, 14.1, 13.7, 14.0, 14.4, 13.6, 14.2 Test the claim at the 0.01 significance level. Use the t test for the hypothesis of the mean.
Company claims to fill cereal boxes on average with 24 oz. of cereal with a standard...
Company claims to fill cereal boxes on average with 24 oz. of cereal with a standard deviation of 2 oz. The company is satisfied if the average weight of cereal per box is within 0.6 oz. of the advertised weight. What is the probability that the company is not satisfied with the average weight of cereal based on a sample of 100 boxes?
A cereal company issues coupons that can be exchanged for boxes of cereal. It issues two...
A cereal company issues coupons that can be exchanged for boxes of cereal. It issues two million coupons that promise the retailer who redeems the coupons $1 per coupon. The probability of redemption of any one coupon is 10%. What is the amount of the liability that the company recognizes? a. $2,000 b. $20,000 c. $100,000 d. $200,000 e. $2,000,000
On the back of its cereal boxes, Tiger Cereal Company offers a premium to its customers....
On the back of its cereal boxes, Tiger Cereal Company offers a premium to its customers. The premium, a toy truck, may be claimed by sending in $1 plus 10 coupons; one coupon is included in each box of cereal sold. Tiger estimates, based on past experience, that 60% of the coupons will be redeemed. During 2016, Tiger purchased 240,000 toy trucks at $1.25 each for the premium promotion and sold 5,000,000 boxes of cereal, for cash, at $1.80 per...
On the back of its cereal boxes, Tiger Cereal Company offers a premium to its customers....
On the back of its cereal boxes, Tiger Cereal Company offers a premium to its customers. The premium, a toy truck, may be claimed by sending in $1 plus 10 coupons; one coupon is included in each box of cereal sold. Tiger estimates, based on past experience, that 60% of the coupons will be redeemed. During 2016, Tiger purchased 240,000 toy trucks at $1.25 each for the premium promotion and sold 5,000,000 boxes of cereal, for cash, at $1.80 per...
In six months, a cereal company plans to sell 30,000 boxes of “Corn Crisps” for $4.00...
In six months, a cereal company plans to sell 30,000 boxes of “Corn Crisps” for $4.00 per box and will need to buy 15,000 bushels of corn to do so. In doing so, it also incurs non-corn costs of $38,000. The current spot price of corn is $5.10 per bushel, and the effective six-month interest rate is 3 percent. The company will hedge by selling a collar -- i.e., purchasing $5.30-strike call options at $0.37 per bushel and writing $4.90-strike...
A cereal company puts a special prize into 1 out of 20 boxes of its children's...
A cereal company puts a special prize into 1 out of 20 boxes of its children's cereals. Your buy 10 boxes, hoping to find a card. A success is opening a box and finding one of these prizes. (a) What is "p", the probability of success? (express as a decimal, 2 decimal places) (b) What is the probability of failure? (express as a decimal, 2 decimal places) (c) What is the probability you will not find any of the cards...
The marketing manager of a company producing a new cereal aimed for children wants to examine...
The marketing manager of a company producing a new cereal aimed for children wants to examine the effect of the color and shape of the box's logo on the approval rating of the cereal. He combined 3 colors and 2 shapes to produce a total of 6 designs. Each logo was presented to 3 different groups (a total of 18 groups) and the approval rating for each was recorded and is shown below. The manager analyzed these data using the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT