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Urban traffic congestion throughout the world has beenincreasing in recent​ years, especially in developing countries.The accompanying table shows the number of minutes that randomlyselected drivers spend stuck in traffic in various cities on bothweekdays and weekends. Complete parts a through e below.

	City_A	City_B	City_C	City_D
Weekday	90	42	55	54
	79	110	78	68
	132	62	78	42
	72	77	96	48
	97	95	122	53
Weekend	79	83	33	34
	91	24	85	44
	71	106	74	47
	72	76	62	43
	63	79	36	43

a) Using alpha = 0.05​, is there significant interaction betweenthe city and time of the​ week?

Identify the hypotheses for the interaction between the city andtime of the week. Choose the correct answer below.

A. H0​: City and time of the week do not​ interact, H1​: Cityand time of the week do interact

B. H0​: μCity ≠ μTime​, H1​: City=μTime

C. H0​: μCity=μTime​, H1​: μCity≠μTime

D. H0​: City and time of the week do​ interact, H1​: City andtime of the week do not interact

Find the​ p-value for the interaction between city and time ofthe week.

​p-value=????

​(Round to three decimal places as​ needed.)

Draw the appropriate conclusion for the interaction between thecity and time of the week. Choose the correct answer below.

A. Do not reject the null hypothesis. There is insufficientevidence to conclude that the city and time of the weekinteract.

B. Do not reject the null hypothesis. There is insufficientevidence to conclude that the means differ.

C. Reject the null hypothesis. There is insufficient evidence toconclude that the means differ.

D. Reject the null hypothesis. There is sufficientevidence toconclude that the city and time of the week interact.

​b) Using​ two-way ANOVA and α​=0.05​,does the city have aneffect on the amount of time stuck in​ traffic?

Identify the hypotheses to test for the effect of the city.Choose the correct answer below.

A. H0​: μCity A=μCity B=μCity C=μCity D​, H1​: Not all citymeans are equal

B. H0​: μCity=μTime​, H1​: μCity≠μTime

C. H0​: μCity A≠μCity B≠μCity C≠μCity D​, H1​: μCity A=μCityB=μCity C=μCity D

D. H0​: μCity A=μCity B=μCity C=μCity D​, H1​: μCity A>μCityB>μCity C>μCity D

Find the​ p-value for the effect of the city.

​p-value=???

​(Round to three decimal places as​ needed.)

Draw the appropriate conclusion for the effect of the city.Choose the correct answer below.

A. Reject the null hypothesis. There is sufficient evidence toconclude that not all city means are equal.

B. Do not rejectthe null hypothesis. There is sufficientevidence to conclude that the means differ.

C. Do not rejectthe null hypothesis. There is insufficientevidence to conclude that not all city means are equal.

D. It is inappropriate to analyze because the city and the timeof the week interact.

​c) Using​ two-way ANOVA and α​=0.05​, does the time of the weekhave an effect on the amount of time stuck in​ traffic?

Identify the hypotheses to test for the effect of the time ofthe week. Choose the correct answer below.

A.H0​: μWeekday=μWeekend​, H1​: Not all time of the week meansare equal

B. H0​: μCity=μTime​, H1​:μCity≠μTime

C. H0​: μCity A=μCity B=μCity C=μCity D​, H1​: Not all time ofthe week means are equal

D. H0​: μWeekday≠μWeekend​, H1​:μWeekday=μWeekend

Find the​ p-value for the effect of the time of the week.

​p-value=???

​(Round to three decimal places as​ needed.)

Draw the appropriate conclusion for the effect of the time ofthe week. Choose the correct answer below.

A. Do not reject the null hypothesis. There is insufficientevidence to conclude that not all time of the week means areequal.

B. Do not reject the null hypothesis. There is sufficientevidence to conclude that the means differ.

C. Reject the null hypothesis. There is sufficient evidence toconclude that not all time of the week means are equal.

D. It is inappropriate to analyze because the city and the timeof the week interact.

​

d) Are the means for weekdays and weekends significantly​different?

A. Yes​,because there is insufficient evidence to conclude thatnot all time of the week means are equal.

B. No​, because there is insufficient evidence to conclude thatnot all time of the week means are equal.

C.Yes​, because there is sufficient evidence to conclude thatnot all time of the week means are equal.

D. The comparison is unwarranted because the city and the timeof the week interact.