You are conducting a study to see if the mean doctor's salary (in thousands of dollars) is significantly more than 86. A random sample of 26 doctors' salary in thousands of dollars is shown below. Test the claim using a 5% level of significance. Give answer to at least 4 decimal places. Salary 79.79 82.14 82.44 80.19 88.62 94.42 94.81 93.01 91.41 86.49 84.73 86.14 92.02 80.09 86.13 90.12 85.89 98.63 89.58 91.03 91.37 94.99 93.89 105.37 88.87 100.33 What are the correct hypotheses? H0: ___ thousand dollars H1: _ thousand dollars Based on the hypotheses, find the following: Test Statistic = _ Critical-value = _ Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The arrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these values correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left, to the right, between or left and right of the t-score(s). Shade: . Click and drag the arrows to adjust the values. -1.5 The correct decision is to The correct summary would be: that the population mean doctor's salary (in thousands of dollars) is significantly more than 86.

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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Related questions

Question

You are conducting a study to see if the mean doctor's salary (in thousands of dollars) is significantly more than 86. A random sample of 26 doctors' salary in thousands of dollars is shown below. Test the claim using a 5% level of significance. Give answer to at least 4 decimal places.

Salary
79.79
82.14
82.44
80.19
88.62
94.42
94.81
93.01
91.41
86.49
84.73
86.14
92.02
80.09
86.13
90.12
85.89
98.63
89.58
91.03
91.37
94.99
93.89
105.37
88.87
100.33

What are the correct hypotheses?

H₀: _____ thousand dollars

H₁: _____ thousand dollars

Based on the hypotheses, find the following:

Test Statistic = ___

Critical-value = ___

Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The arrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these values correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left, to the right, between or left and right of the t-score(s).

Shade: . Click and drag the arrows to adjust the values.

-1.5

The correct decision is to ______

The correct summary would be: ____ that the population mean doctor's salary (in thousands of dollars) is significantly more than 86.

Expert Solution

Step 1

Given:

Sr. No.	Salary (x)
1	79.79
2	82.14
3	82.44
4	80.19
5	88.62
6	94.42
7	94.81
8	93.01
9	91.41
10	86.49
11	84.73
12	86.14
13	92.02
14	80.09
15	86.13
16	90.12
17	85.89
18	98.63
19	89.58
20	91.03
21	91.37
22	94.99
23	93.89
24	105.37
25	88.87
26	100.33