A study of the effect of television commercials on 12-year-old children measured their attention span, in seconds. The commercials were for clothes, food, and toys. Clothes Food 27 22 46 35 28 31 17 31 20 49 37 56 Source of Variation Treatment 42 34 Error Total 43 57 47 44 54 Click here for the Excel Data File Toys 61 64 57 Required: a. What are the null and alternate hypotheses? 48 48 63 53 48 58 47 51 51 Clothes #roodWay H: Not all means are equal Answer is complete and correct. b. Complete the ANOVA table. Use 0.05 significance level. (Round the SS and MS values to 1 decimal place, Fvalue, p-value, and F critto 2 decimal places. Leave no cells blank-be certain to enter "0" wherever required. Round the df values to nearest whole number.) The test statistic is $$ 3.447.1 1.554.4 5.001.5 df 310 Answer is complete and correct. 32.1540 c. What is the test statistic? (Round your answer to 4 decimal places.) Answer is complete and correct. MS 1.723.5 53.6 F 32.15 p-value 0.00 F crit 3.3276

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d. What is the p-value? (Round your answer to 4 decimal places.)
P-value
✔ Answer is complete and correct.
e. What is your decision regarding the null hypothesis?
0.0001
✔ Answer is complete and correct.
Reject
Ho
Decision:
f. Interpret the result.
There is
✓ Answer is complete and correct.
✓in the mean attention span.
a difference
g. Compute the 95% confidence intervals that estimate the difference between each pair of means. (Negative amount should be
Indicated by a minus sign. Round your answers to 2 decimal places.)
> Answer is complete but not entirely correct.
(Smaller Mean - Larger Mean)
(32.37) to
(30.53) ► to
(14.29) ► to
The interval for the difference between Clothes and Food is from
The interval for the difference between Clothes and Toys is from
The interval for the difference between Food and Toys is from
(30.51) X
(19.04) X
(2.65) X
(30.51) X
(Larger Mean - Smaller Mean)
(30.51) ► to
(30.51) ► to
to
(2.65) ► to
(33.12) X
(14.29) X
Transcribed Image Text:d. What is the p-value? (Round your answer to 4 decimal places.) P-value ✔ Answer is complete and correct. e. What is your decision regarding the null hypothesis? 0.0001 ✔ Answer is complete and correct. Reject Ho Decision: f. Interpret the result. There is ✓ Answer is complete and correct. ✓in the mean attention span. a difference g. Compute the 95% confidence intervals that estimate the difference between each pair of means. (Negative amount should be Indicated by a minus sign. Round your answers to 2 decimal places.) > Answer is complete but not entirely correct. (Smaller Mean - Larger Mean) (32.37) to (30.53) ► to (14.29) ► to The interval for the difference between Clothes and Food is from The interval for the difference between Clothes and Toys is from The interval for the difference between Food and Toys is from (30.51) X (19.04) X (2.65) X (30.51) X (Larger Mean - Smaller Mean) (30.51) ► to (30.51) ► to to (2.65) ► to (33.12) X (14.29) X
A study of the effect of television commercials on 12-year-old children measured their attention span, in seconds. The commercials
were for clothes, food, and toys.
Clothes Food
27
44
22
46
35
28
31
17
31
29
49
37
56
47
42
34
43
57
47
44
54
Ho:
H₂:
Click here for the Excel Data File
Toys
61
64
57
48
63
53
48
58
47
Required:
a. What are the null and alternate hypotheses?
51
51
✔ Answer is complete and correct.
Source of
Variation
Treatment
Error
Total
Clothes = Food Toys
Not all means are equal.
b. Complete the ANOVA table. Use 0.05 significance level. (Round the SS and MS values to 1 decimal place, Fvalue, p-value, and F
crit to 2 decimal places. Leave no cells blank- be certain to enter "0" wherever required. Round the df values to nearest whole
number.)
The test statistic is
SS
3,447.1✔
1,554.4✔
5,001.5 ✔
df
✔ Answer is complete and correct.
2✔
29✔
31✔
✔Answer is complete and correct.
32.1548 ✔
MS
1,723.5 ✔
53.6✔
c. What is the test statistic? (Round your answer to 4 decimal places.)
F
32.15
p-value
0.00✔
F crit
3.3276✔
Transcribed Image Text:A study of the effect of television commercials on 12-year-old children measured their attention span, in seconds. The commercials were for clothes, food, and toys. Clothes Food 27 44 22 46 35 28 31 17 31 29 49 37 56 47 42 34 43 57 47 44 54 Ho: H₂: Click here for the Excel Data File Toys 61 64 57 48 63 53 48 58 47 Required: a. What are the null and alternate hypotheses? 51 51 ✔ Answer is complete and correct. Source of Variation Treatment Error Total Clothes = Food Toys Not all means are equal. b. Complete the ANOVA table. Use 0.05 significance level. (Round the SS and MS values to 1 decimal place, Fvalue, p-value, and F crit to 2 decimal places. Leave no cells blank- be certain to enter "0" wherever required. Round the df values to nearest whole number.) The test statistic is SS 3,447.1✔ 1,554.4✔ 5,001.5 ✔ df ✔ Answer is complete and correct. 2✔ 29✔ 31✔ ✔Answer is complete and correct. 32.1548 ✔ MS 1,723.5 ✔ 53.6✔ c. What is the test statistic? (Round your answer to 4 decimal places.) F 32.15 p-value 0.00✔ F crit 3.3276✔
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