Which if any of the following statements is false Which if a

Which (if any) of the following statements is false? Which (if any) of the following statements is false?

Solution

t-distribution is bell shaped and it is shorter and flatter than z-distribution. As the degrees of freedom increase, means sample size increases, t-distribution becomes closer to z-distribution. We use t-distribution when population standard deviation is unknown. In t-distribution, sample standard deviation is used. Hence, option B is false. And then option E also false.

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If we increase the alpha, critical value decrease, so interval becomes narrow. So option C is flase. Hence, option E is also false.