Question: You may need to use the appropriate technology to answer this question. A consumer watchdog designed a factorial experiment to determine whether the miles per

You may need to use the appropriate technology to answer this question.

A consumer watchdog designed a factorial experiment to determine whether the miles per gallon for two manufacturer's vehicles differed and if the miles per gallon also depended on whether the vehicle had an automatic or a manual transmission. A professional driver was employed to test the vehicles. The following data give the miles per gallon for the vehicles.

	Transmission
Manual	Automatic
Manufacturer 1	30	30
34	26
Manufacturer 2	20	24
22	28

Use = 0.05 to test for any significant effect due to manufacturer, transmission, and interaction.

Find the value of the test statistic for manufacturer. (Round your answer to two decimal places.)Find the p-value for manufacturer. (Round your answer to three decimal places.)p-value =

State your conclusion about manufacturer.

Because the p-value = 0.05, manufacturer is not significant.

Because the p-value = 0.05, manufacturer is significant.

Because the p-value > = 0.05, manufacturer is not significant.

Because the p-value > = 0.05, manufacturer is significant.

Find the value of the test statistic for transmission. (Round your answer to two decimal places.)

Find the p-value for transmission. (Round your answer to three decimal places.)p-value =

State your conclusion about transmission.

Because the p-value = 0.05, transmission is significant.

Because the p-value > = 0.05, transmission is significant.

Because the p-value > = 0.05, transmission is not significant

Because the p-value = 0.05, transmission is not significant.

Find the value of the test statistic for interaction between manufacturer and transmission. (Round your answer to two decimal places.)

Find the p-value for interaction between manufacturer and transmission. (Round your answer to three decimal places.)p-value =

State your conclusion about interaction between manufacturer and transmission.

Because the p-value > = 0.05, interaction between manufacturer and transmission is not significant.

Because the p-value = 0.05, interaction between manufacturer and transmission is significant.

Because the p-value > = 0.05, interaction between manufacturer and transmission is significant.

Because the p-value = 0.05, interaction between manufacturer and transmission is not significant.

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