# hypothesis testing for two means using two paired samples t test

A company is researching the effectiveness of a new website design to decrease the time to access a website. Five website users were randomly selected and their times (in seconds) to access the website with the old and new designs were recorded. The results follow:

User Old Website Design New Website Design

A 30 15

B 45 20

C 25 10

D 32 25

E 28 20

Let α = 0.10. Is the mean time to access the new website design shorter, or is (time for the old design - time for the new design) greater than zero?

a) What is the null hypothesis?

b) What is the alternate hypothesis

c) What is the dregree of freedom 8

d) What is the critical t value at 1% significance level: .10

e) Assume calculated t to be 2.70, at the .01 significance, what would be your decision

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a) What is the null hypothesis?

Let u1 be mean time of access the website with the old designs and u2 be mean time of access the ...

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The solution gives detailed steps on performing a hypothesis testing for two means using two paired samples t test.