MATH SOLVE

5 months ago

Q:
# To construct a confidence interval using the given confidence level, do whichever of the following is appropriate. (a) Find the critical value z Subscript alpha divided by zα/2, (b) find the critical value t Subscript alpha divided by tα/2, or (c) state that neither the normal nor the t distribution applies.?95 % ; n=100; σ = unknown; population appears to be skewedChoose the correct answer below.A. tα/2 =2.626B. zα/2 = 1.96C. tα/2 =1.984D. zα/2 = 2.575E. Neither the normal nor the t distribution appliesTo construct a confidence interval using the given confidence level, do whichever of the following is appropriate. (a) Find the critical value z Subscript alpha divided by zα/2, (b) find the critical value t Subscript alpha divided by tα/2, or (c) state that neither the normal nor the t distribution applies.?98 % ; n= 19; σ = 21.4; population appears to be normally distributedA. zα/2 = 2.33B. tα/2 = 2.214C. zα/2 = 2.552D. zα/2 = 2.055E. Neither normal nor t distribution applies

Accepted Solution

A:

Answer:1: z = 1.962: t = 2.552Step-by-step explanation:1: When you don't know the population standard deviation and the sample size is large, you can still use a z test because many large samples are relatively normally distributed. A 95% confidence interval uses a z-score of 1.962. We are told that n < 30, so we use t distribution. Use the degrees of freedom, which is one less than the population, and the column that has 0.02 in the area of 2 tails.