Question

Suppose that we are to conduct the following hypothesis test: H0:H1:μμ=>10701070 Suppose that you also know that σ=150, n=90, x¯=1101.5, and take α=0.01. Draw the sampling distribution, and use it to determine each of the following: A. The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (−∞,a) is expressed (-infty, a), an answer of the form (b,∞) is expressed (b, infty), and an answer of the form (−∞, a)∪(b,∞) is expressed (-infty, a)U(b, infty). B. The rejection region for the standardized test statistic: C. The p-value is D. Your decision for the hypothesis test: A. Reject H1. B. Do Not Reject H1. C. Reject H0. D. Do Not Reject H0.

Answer 1

Hypothesis : Vs  

The sampling distribution of the sampling the sample mean is approximately normally distributed with mean and standard deviation

A) The value of the test statistic is,

B) The critical value is , ; From Z-table

The rejection region is ,

C) The p-value is ,

p-value=

; From Z-table

D) Decision : Here , p-value=0.0233>

Therefore , Do not reject Ho.