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24 May, 20:49

Find the critical value z subscript c necessary to form a confidence interval at the level of confidence shown below. cequals0.89

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  1. 24 May, 21:36
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    Z_c = 1.6

    Step-by-step explanation:

    Solution:-

    - The Z-critical value for any Confidence Interval (CI) corresponds to the significance level α. The significance level is defined as:

    α = 1 - CI

    α = 1 - 0.89

    α = 0.11

    - The Z-critical occurs at half of the significance value for "Two Tailed" tests.

    α/2 = 0.11/2 = 0.055

    - Then we use the standard normal distribution table or statistics tool. And compute:

    Z_c = Z_a/2 = Z_0.055

    Z_0.055 = invNorm (0.055) = 1.6

    Hence, Z_c = 1.6
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