How do I find the critical values for: “is there a doctor in the house?” ### Is there a doctor in the house?A market research firm reported the mean annual earnings of all family practitioners in the United States was $178,258. A random sample of 59 family practitioners in Los Angeles had mean earnings of $\overline{x} = $191,350, with a standard deviation of $42,897. Do the data provide sufficient evidence to conclude that the mean salary for family practitioners in Los Angeles differs from the national average? Use the $\alpha = 0.01$ level of significance and the critical value method with the table.#### (a) State the appropriate null and alternate hypotheses.**Null Hypothesis (H₀):**\[ \mu = 178,258 \]**Alternate Hypothesis (H₁):**\[ \mu \neq 178,258 \]This hypothesis test is a two-tailed test.*Screenshot Provided:*- **H₀:** $\mu = 178,258$- **H₁:** $\mu \neq 178,258$- Note indicating: This hypothesis test is a two-tailed test.#### Part 2 of 5Find the critical value(s). Round the answer(s) to three decimal places. If there is more than one critical value, separate them with commas.**Critical value(s):**[To be determined by the student based on the specific standard normal distribution table or t-distribution table used.]### Steps for Students:1. **Determine the critical value for a two-tailed test at the α=0.01 significance level**: - Check standard normal (z) distribution table or t-distribution table depending on whether population standard deviation is known and if the sample size permits the use of z-distribution. - For z-distribution, it commonly results in ±2.576 for a two-tailed test at α=0.01. 2. **Illustrative Explanation**: - Use √(n - 1) tables or technology/software for precise critical values if t-distribution is needed. - Insert rounded critical values in the provided space.Feel free to complete these steps on a platform or using the statistical tables provided in your course materials!

Given, population mean=178258 sample mean=191350 sample S.D=42897 n=59

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Math

Statistics

How do I find the critical values for: “is there a doctor in the house?”

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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