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In an experiment,1919 telephone callers to a company were put on hold with an ad

ID: 3241935 • Letter: I

Question

In an experiment,1919 telephone callers to a company were put on hold with an advertisement, comedy comma Musak commacomedy, Musak,or classical music in the background. Data was then collected on telephone holding times for each combination of type and repeat time. Also, the message randomly assigned to each caller would repeat after fivefive or ten minutes.

Use this information to complete parts a through c.

The results of a two-way ANOVA.

Source

DF

SS

MS

F

P

MessageMessage

33

57.0657.06

19.0219.02

1.591.59

0.2370.237

Repeat

11

119.12119.12

119.12119.12

9.969.96

0.0070.007

Error

1414

167.44167.44

11.9611.96

Total

1818

343.62343.62

State the null hypothesis to which the F test statistic in the MessageMessage row refers.

Choose the correct null hypothesis below.

A. The type of messageThe type of message has no effect on customer hold time.

B. The length of the messageThe length of the message has no effect on customer hold time.

C. The length and type of message have an effect on customer hold time.

D. The length and type of message have no effect on customer hold time.

b. How is the F test statistic for the message main effect constructed?

A. F= mean square for repeat/mean square for error

B. F=mean square for message/mean square for repeat

C. F=mean square for message/mean square for error

D. F=mean square for repeat/mean square for message

What is the P-value for the message main effect?

P=

Interpret the P-value for the message main effect. Use a 0.05 level of significance

The results of a two-way ANOVA.

Source

DF

SS

MS

F

P

MessageMessage

33

57.0657.06

19.0219.02

1.591.59

0.2370.237

Repeat

11

119.12119.12

119.12119.12

9.969.96

0.0070.007

Error

1414

167.44167.44

11.9611.96

Total

1818

343.62343.62

Explanation / Answer

Answer:

In an experiment,1919 telephone callers to a company were put on hold with an advertisement, comedy comma Musak commacomedy, Musak,or classical music in the background. Data was then collected on telephone holding times for each combination of type and repeat time. Also, the message randomly assigned to each caller would repeat after fivefive or ten minutes.

Use this information to complete parts a through c.

The results of a two-way ANOVA.

Source

DF

SS

MS

F

P

MessageMessage

3

57.06

19.02

1.59

0.237

Repeat

1

119.12

119.12

9.96

0.007

Error

14

167.44

11.96

Total

18

343.62

State the null hypothesis to which the F test statistic in the MessageMessage row refers.

Choose the correct null hypothesis below.

Answer: A. The type of message The type of message has no effect on customer hold time.

B. The length of the messageThe length of the message has no effect on customer hold time.

C. The length and type of message have an effect on customer hold time.

D. The length and type of message have no effect on customer hold time.

b. How is the F test statistic for the message main effect constructed?

A. F= mean square for repeat/mean square for error

B. F=mean square for message/mean square for repeat

Answer: C. F=mean square for message/mean square for error

D. F=mean square for repeat/mean square for message

What is the P-value for the message main effect?

P=0.237

Interpret the P-value for the message main effect. Use a 0.05 level of significance

Calculated P=0.237 > 0.05 level of significance.

Ho is not rejected.

We conclude that the type of message has no effect on customer hold time.

The results of a two-way ANOVA.

Source

DF

SS

MS

F

P

MessageMessage

3

57.06

19.02

1.59

0.237

Repeat

1

119.12

119.12

9.96

0.007

Error

14

167.44

11.96

Total

18

343.62

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