You are conducting a study to see if the mean doctor's salary (in thousands of dollars) is significantly more than 89. A random sample of 27 doctors' salary in thousands of dollars is shown below. Test the claim using a 1% level of significance. Give answer to at least 4 decimal places. Salary 102.57 87.59 99.36 96.89 93.53 85.75 100.46 85.57 90.56 85.12 83.49 99.11 99.53 85.62 89.55 96.33 90.95 84.41 91.69 96.33 85.25 87.77 78.22 91.21 96.93 85.36 85.35 What are the correct hypotheses? H0: Select an answer σ p̂ μ s² s x̄ p σ² ? ≥ > ≤ ≠ = < thousand dollars H1: Select an answer x̄ p̂ μ p σ σ² s² s ? = > ≠ ≥ ≤ < 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 enough evidence to reject the claim There is enough evidence to support the claim There is not enough evidence to reject the claim There is not enough evidence to support the claim that the population mean doctor's salary (in thousands of dollars) is significantly more than 89.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
You are conducting a study to see if the mean doctor's salary (in thousands of dollars) is significantly more than 89. A random sample of 27 doctors' salary in thousands of dollars is shown below. Test the claim using a 1% level of significance. Give answer to at least 4 decimal places.
| Salary |
|---|
| 102.57 |
| 87.59 |
| 99.36 |
| 96.89 |
| 93.53 |
| 85.75 |
| 100.46 |
| 85.57 |
| 90.56 |
| 85.12 |
| 83.49 |
| 99.11 |
| 99.53 |
| 85.62 |
| 89.55 |
| 96.33 |
| 90.95 |
| 84.41 |
| 91.69 |
| 96.33 |
| 85.25 |
| 87.77 |
| 78.22 |
| 91.21 |
| 96.93 |
| 85.36 |
| 85.35 |
What are the correct hypotheses?
H0: Select an answer σ p̂ μ s² s x̄ p σ² ? ≥ > ≤ ≠ = < thousand dollars
H1: Select an answer x̄ p̂ μ p σ σ² s² s ? = > ≠ ≥ ≤ < 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 enough evidence to reject the claim
There is enough evidence to support the claim
There is not enough evidence to reject the claim
There is not enough evidence to support the claim that the population mean doctor's salary (in thousands of dollars) is significantly more than 89.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images
