Question

Suppose you want to determine whether the brand of laundry detergent used and the temperature affects...

Suppose you want to determine whether the brand of laundry detergent used and the temperature affects the amount of dirt removed from your laundry. You buy two different Brand of Detergent (A and B) and choose three different Temperature (cold, warm and hot). Four laundry loads were washed for each combination of detergent and temperature. The amount of dirt removed from each load was recorded. The partial ANOVA table is given below.

Source

DF

SS

MS

F

Brand

(a)

20

20

?

Temperature

(b)

80

40

?

Brand* Temperature

(c)

30

15

?

Error

(d)

72

4

Total

(e)

202

Fill in DF in the ANOVA table.

Group of answer choices

(a) = 1, (b) = 2, (c) = 2, (d) = 1, (e) = 6

(a) = 1, (b) = 2, (c) = 2, (d) = 18, (e) = 23

(a) = 2, (b) = 3, (c) = 6, (d) = 13, (e) = 24

(a) = 2, (b) = 3, (c) = 6, (d) = 1, (e) = 12

Continue to consider Question 14.

State the null and alternative hypotheses if you want to test if there is an interaction effect between the brand of detergent and the temperature in the mean amount of removed dirt.

Group of answer choices

H0: There is an interaction between brands and temperatures; Ha: There is no interaction between brands and temperatures

H0: mu1=mu2=mu3, Ha: At least two mu’s are different

H0: There is no interaction between brands and temperatures; Ha: There is an interaction between brands and temperatures

H0: muA=muB, Ha: muA is not equal to muB

Continue to consider Question 14.

Find the value of test statistic of the test in Question 15.

Group of answer choices

A. 3.75

B. 5

C. 4

D. 10

Continue to consider Question 14.

Using a 0.10 level of significance, find rejection region.

Group of answer choices

F > 3.10

F > 8.53

F > 2.62

F > 9.00

Continue to consider Question 14.

What is your conclusion at 0.10 level of significance?

Group of answer choices

A. Reject H0. Sufficient evidence of an interaction between brands and temperature.

B. Do not reject H0. Insufficient evidence of a difference between two brands of detergent.

C. Reject H0. Sufficient evidence of a difference between two brands of detergent.

D. Do not reject H0. Insufficient evidence of an interaction between brands and temperature.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1
Source df SS MS F
A 1 20 20.00 5.00
B 2 80 40.00 10.00
A*B 2 30 15.00 3.75
error 18 72 4.00
total 23 202

a)

(a) = 1, (b) = 2, (c) = 2, (d) = 18, (e) = 23

H0: There is no interaction between brands and temperatures; Ha: There is an interaction between brands and temperatures

value of test statistic of the test =3.75

rejection region : F > 2.62

C. Reject H0. Sufficient evidence of a difference between two brands of detergent.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A fast food chain wants to compare daily sales during three types (A,B,C) of sales promotions....
A fast food chain wants to compare daily sales during three types (A,B,C) of sales promotions. The sales promotions were employed in four different cities, and the orders of promotions were randomly assigned within each city. The amount of sales (in thousands of dollars) for one store in each city was measured. Test if the mean amount of sales for the three types of promotions are different. A B C City 1 5 6 4 City 2 3 7 3...
The market for laundry detergent is monopolistically competitive. Each firm owns one brand, and each brand...
The market for laundry detergent is monopolistically competitive. Each firm owns one brand, and each brand has effectively differentiated itself so that it has some market power (i.e., faces a downward sloping demand curve). Still, no brand earns economic profits, because entry causes the demand for each brand to shift in until the seller can just break even. All firms have identical cost functions, which are U-shaped. (a) Is this market in long-term or short-term equilibrium? Explain your claim? Now...
A consumer advocate researches the length of life between two brands of refrigerators, Brand A and...
A consumer advocate researches the length of life between two brands of refrigerators, Brand A and Brand B. He collects data (measured in years) on the longevity of 40 refrigerators for Brand A and repeats the sampling for Brand B. These data are measured in years. (You may find it useful to reference the appropriate table: z table or t table) Brand A Brand B Brand A Brand B 23 12 21 18 22 15 17 20 18 20 20...
A consumer advocate researches the length of life between two brands of refrigerators, Brand A and...
A consumer advocate researches the length of life between two brands of refrigerators, Brand A and Brand B. He collects data (measured in years) on the longevity of 40 refrigerators for Brand A and repeats the sampling for Brand B. These data are measured in years. (You may find it useful to reference the appropriate table: z table or t table) Brand A Brand B Brand A Brand B 25 21 18 19 15 15 24 19 24 15 17...
The quality department at ElectroTech is examining which of two microscope brands (Brand A or Brand...
The quality department at ElectroTech is examining which of two microscope brands (Brand A or Brand B) to purchase. They have hired someone to inspect six circuit boards using both microscopes. Below are the results in terms of the number of defects (e.g., solder voids, misaligned components) found using each microscope. Use Table 2. Circuit Board Number of defects with Brand A Number of defects with Brand B 1              12              14              2              8              9              3              16              16              4              14              12             ...
Last year, an entomologist was given a brand new indoor garden for his research. He decided...
Last year, an entomologist was given a brand new indoor garden for his research. He decided to include in the indoor garden the following percentage of insects: 30% butterflies, 20% fireflies, 35% moths, and 15% of other types. A year has passed and he observed a random sample of 200 insects classified in the following table. He wants to conduct a test at 0.10 level of significance to see whether the proportions of insects differ significantly from the proportions that...
The manufacturer of a refrigerator system produces refrigertors that are supposed to maintain a mean temperature...
The manufacturer of a refrigerator system produces refrigertors that are supposed to maintain a mean temperature of 48F. A customer does not agree with the manufacturer and claims that the refrigerators are not maintaining the advertized temperature. (a) (2 points) What are the appropriate null and alternative hypotheses to test the manufacturer’s claim? A. H0 : µ < 48, Ha : µ > 48 B. H0 : µ 6= 48, Ha : µ = 48 C. H0 : µ =...
Suppose you own a factory. You want to determine whether the level of illumination on the...
Suppose you own a factory. You want to determine whether the level of illumination on the assembly line affects worker productivity. One day, you have one group of 5 employees work under very dim lighting, a second group of 5 employees work under a moderate level of light, and a third group of 5 employees work under very bright lights. The mean productivity (number of units assembled) for the low light group was 56; for the moderate light group, 68;...
ags of a certain brand of tortilla chips claim to have a net weight of 14...
ags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. Net weights actually vary slightly from bag to bag and are Normally distributed with mean μ. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised so he intends to test the following hypotheses: H0: μ = 14, Ha: μ < 14 To do this, he selects 16 bags...
You may need to use the appropriate technology to answer this question. Consider the following data...
You may need to use the appropriate technology to answer this question. Consider the following data on x = weight (pounds) and y = price ($) for 10 road-racing bikes. Brand Weight Price ($) A 17.8 2,100 B 16.1 6,250 C 14.9 8,370 D 15.9 6,200 E 17.2 4,000 F 13.1 8,500 G 16.2 6,000 H 17.1 2,580 I 17.6 3,300 J 14.1 8,000 These data provided the estimated regression equation ŷ = 28,458 − 1,433x. For these data, SSE...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT