Suppose your research assistant screwed up and lost theinformation that linked the person’s identity across the two weightloss periods. This makes it impossible to run a paired t-test.Rather than start over:

a) Compute the mean and standard deviation of the two samples(2-pts)

b) Compute the two sample t-statistic (2pts)

c) How many degrees of freedom do you have(3pts)?

d) compute the P-value (4pts)

e) How does this P-value compare to the one you just computedusing the paired ttest? (3pts))

Two Sample t-test (16pts):

Suppose you are interested in deciding if the 1990 Toyota FourRunner has been equally reliable as the 1990 Honda Passport. You goout a randomly sample of 5 people who own a 1990 Toyota and 5 otherpeople who own a 1990 Honda and you ask them how often they have totake their vehicles in for maintenance. Here are your data (inthousands of miles):

Toyota: 30 35 32 34 30

Honda: 29 33 28 31 27

a) State the null and alternative hypotheses (2pts)

b) Compute the means and standard deviations of the two samples(2-pts)

c) Compute the two sample t-statistic (2 pts)

c) How many degrees of freedom do you have? (3pts)

d) Compute the P-value (4pts)

e) At an alpha = 0.05 would you accept or reject the nullhypothesis? (3pts)

Please show work! thank you!