**p-Value = _______**c. **Make a decision.** Select an answer ▼ d. **Make a conclusion regarding the claim.** Select an answer ▼ that the population mean doctor's salary (in thousands of dollars) is significantly more than $88 thousand dollars. ### Study on Doctor SalariesA hospital recruiting company for doctors is conducting a study to determine whether the average doctor’s salary (in thousands of dollars) is significantly more than $88,000. A random sample of 24 doctors' salaries (in thousands of dollars) is presented below. The company's claim is tested using a 1% level of significance.#### Salaries (in thousands of dollars)| 92.87 | 96.68 | 88.81 | 95.86 | 96.47 ||-------|-------|-------|-------|-------|| 98.47 | 93.9 | 89.12 | 97.18 | 88.08 || 89.25 | 94.33 | 102.67| 90 | 97.98 || 90.33 | 100.09| 75.51 | 99 | 93.98 || 90.31 | 91.14 | 101.58| 97.03 | |#### Preliminary Questions**a. Is it safe to assume that $ n \leq 5\% $ of all doctors earning a salary?**- No- Yes**b. Is $ n \geq 30 $?**- No- Yes**c. Box Plot Analysis**Since $ n < 30 $, determine whether the box plot of salaries contains any outliers.- Box Plot Explanation:The box plot ranges from 75 to approximately 105, with the box spanning 85 to 100, marking the interquartile range (IQR). The median appears near 95.- There aren't any outliers from the box plot.- There are outliers from the box plot.**Note:** Without a normal distribution and with a sample size less than 30, ensure there are no outliers using a box plot and normal probability plot.#### Testing the Claim**a. Hypotheses**- **Null Hypothesis ($ H_0 $):** The average salary is not significantly more than $88,000.- **Alternative Hypothesis ($ H_1 $):** The average salary is significantly more than $88,000.**b. Calculation**Based on the hypotheses, calculate the test statistic. Remember to round your answer to four decimal places.

Preliminary : a. Yes b. No c. There aren't outliers from the box plot. (the outliers are represented by a dot outside the upper or lower quartile (if any), since there is no such point in the given boxplot, there are not any outliers. The lower whisker line is larger than the upper whisker line which represents the skewness of the data)Test the claim : a. Ho : μ=$88H1 : μ>$88 (right tailed) b. Test statistics is given by : t=x-μs/n Test statistics : t=93.7767-885.7796/24=4.8965 p-value : 0.0000 c. The decision rule states : Reject the null hypothesis when p-value is less than alpha level of significance. p-value < α - Reject Hop-value > α - Accept H0 0.000 < 0.01 - Reject Ho d. The claim is accepted that the population mean doctor's salary is significantly more than $88 thousand dollars.

Math

Statistics

A hospítal recruiting company for doctors is conducting a study to determine whether the average doctor's salary (in thousands of dollars) is significantly more than $88 thousand dollars. A random sample of 24 doctors' salaries (in thousands of dollars) is given in the table. Test the hospital recruiting company's claim using a 1% level of significance. Salary (in thousands of dollars) 92.87 96.68 88.81 95.86 96.47 98.47 93.9 89.12 97.18 88.08 89.25 94.33 102.67 90 97.98 90.33 100.09 75.51 99 93.98 90.31 91.14 101.58 97.03 Preliminary:

A hospítal recruiting company for doctors is conducting a study to determine whether the average doctor's salary (in thousands of dollars) is significantly more than $88 thousand dollars. A random sample of 24 doctors' salaries (in thousands of dollars) is given in the table. Test the hospital recruiting company's claim using a 1% level of significance. Salary (in thousands of dollars) 92.87 96.68 88.81 95.86 96.47 98.47 93.9 89.12 97.18 88.08 89.25 94.33 102.67 90 97.98 90.33 100.09 75.51 99 93.98 90.31 91.14 101.58 97.03 Preliminary:

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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