Carrying Out a Test for a Population Mean

AP Statistics· difficulty 1/5

A random sample of 36 bags has a mean weight of 49.4 lb with s = 1.8 lb. Test H0: mu = 50 vs Ha: mu < 50.

Statistic Value n 36 x-bar 49.4 s 1.8 mu0 50

What is the value of the t test statistic?

  • A

    -0.33

  • B

    -2.00

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  • C

    -3.33

  • D

    -0.60

Explanation

t = (49.4 - 50)/(1.8/sqrt(36)) = -0.6/0.30 = -2.00.

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