If Ztest 245 for a twotailed hypothesis test on a populatio

If Ztest = -2.45, for a two-tailed hypothesis test on a population chosen at 5%, what would the conclusion be (Reject, DNR)? Find the Z-Score for the following: X=26, mu=28, sigma=3 X=290, mu=385, sigma=81 X=.299, mu=.305, sigma=.0256 Define in your own words, what a z-score means

Solution

III.

As

z = (x-u)/sigma

Then

a)

z = (26-28)/3 = -0.6666667 [ANSWER]

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b)

z = (290-385)/81 = -1.172839506 [ANSWER]

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c)

z = (0.299-0.305)/0.0256 = -0.234375 [ANSWER]

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d)

The z score is the number standard deviations an observation is below (if negative) or above (if positive) the mean.