A researcher at the Nie Pójdzie Motor Club is interested in theaverage repair bill for automobile owners when the “check engine”light comes on. He believes that automobiles manufactured overseas(Import) will have lower repair costs (in dollars) than automobilesmanufactured in the United States (Domestic). A random sample fromeach type of manufacturer was drawn.   

The Data Analysis output for the various tests used whencomparing two group means are shown below. The significance levelwas .05.   Identify which two sample test shouldbe performed from the scenario and from the following outputs.Then, answer the questions (a to f) using the correct t testoutput. (3.5 pts.)

F-Test Two-Sample for Variances
	Import	Domestic
Mean	331.2	349.6
Variance	569.07	104.27
Observations	10	10
df	9	9
F	5.4578
P(F<=f) one-tail	0.0094
F Critical one-tail	3.1789

t-Test: Two-Sample Assuming Equal Variances
	Import	Domestic
Mean	331.2	349.6
Variance	569.07	104.27
Observations	10	10
Pooled Variance	336.67
Hypothesized Mean Difference	0
df	18
t Stat	-2.2423
P(T<=t) one-tail	0.0189
t Critical one-tail	1.7341
P(T<=t) two-tail	0.0378
t Critical two-tail	2.1009

t-Test: Two-Sample Assuming Unequal Variances
	Import	Domestic
Mean	331.2	349.6
Variance	569.07	104.27
Observations	10	10
Hypothesized Mean Difference	0
df	12
t Stat	-2.242
P(T<=t) one-tail	0.0223
t Critical one-tail	1.7823
P(T<=t) two-tail	0.0446
t Critical two-tail	2.1788

t-Test: Paired Two Sample for Means
	Import	Domestic
Mean	331.2	349.6
Variance	569.07	104.27
Observations	10	10
Pearson Correlation	1.00
Hypothesized Mean Difference	0
df	9
t Stat	-4.263
P(T<=t) one-tail	0.0011
t Critical one-tail	1.8331
P(T<=t) two-tail	0.0021
t Critical two-tail	2.2622

a) What is the appropriate two sampletest to perform – the paired t test, the t test assuming equalvariances, or the t test assuming unequal variances – for thisresearch project?

b) State the H₀ and H_a.

c) Identify the decision rule using the critical value of t(round to three decimal places).

d) Identify the decision rule using the p value method.

e) State the test statistic (t _calc).

f) Do you reject or not reject Ho? Explain your decision.