You are conducting a study to see if the mean doctor's salary (in thousands of dollars) is significantly more than 87. A random sample of 28 doctors' salary in thousands of dollars is shown below. Test the claim using a 10% level of significance. Give answer to at least 4 decimal places.

Salary
82.7
94.31
81.21
89.82
96.93
100.21
98.9
95.46
87.97
87.73
103.29
104.09
84.76
87.8
98.84
83.66
78.13
93.94
90.7
84.06
91.93
91.71
89.15
96.84
87
87.82
90.03
92.2

What are the correct hypotheses? 

H₀: Select an answer p̂ σ μ s² s σ² p x̄ ? ≤ ≥ < ≠ = > thousand dollars

H₁: Select an answer s² s p̂ μ x̄ p σ² σ ? ≥ = < ≠ > ≤ 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).

The correct decision is to Select an answer Reject the null hypothesis Accept the null hypothesis Accept the alternative hypotheis Fail to reject the null hypothesis

The correct summary would be: Select an answer There is not enough evidence to reject the claim There is enough evidence to reject the claim There is not enough evidence to support the claim There is enough evidence to support the claim that the population mean doctor's salary (in thousands of dollars) is significantly more than 87.