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    hypothesis testing for two means using two paired samples t test

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    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.

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