I already have the answers as t024 and as being not justifi

( I already have the answers as t=0.24 and as being not justified I\'m just wanting to make sure is correct before I submit)

Two major computer companies manufacture and sell computer accessories. The prices of 5 randomly selected accessories are listed below:

The quality of the computer accessories for both companies are practically the same because both companies purchase the parts from the same wholesaler. Since the market for these accessories is very competitive, the main reason why one product would be more expensive than another would be due to brand name and the advertizing related to it.

A computer periodical claims that Macrohard products are generally more expensive than Pear Computer products. You plan to do a hypothesis test on this claim where:

H₀: Macrohard accessories are equal in price to or cheaper than Pear Computer products
H_a: Macrohard accessories are more expensive

You may find this Student\'s t distribution table useful in answering the following questions. You may assume that the differences in prices are normally distributed.

a)Calculate the test statistic (t) that is best suited in conducting this hypothesis test. Give your answer to 2 decimal places.

t =

b)According to the above data and at a level of significance of 0.01, the claim that Macrohard accessories are more expensive is (justified not justified) given the results of the hypothesis test.

Solution

H0: mu1 <=mu2

Ha\": mu1>mu2

( one tailed hyp test where mu1 is average price of Macrohard price and mu2 pear)

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t statistic = 0.143138

p value =0.44486

As p >0.05 accept null hypothesis.

The Macro hard is not expensive than the other