Hypothesis Testing Using Rejection Regions In Exercises 19–26, (a) identify the claim and state H 0 and H a , (b) find the critical value(s) and identify the rejection region(s), (c) find the standardized test statistic t, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the population is normally distributed. 26. Annual Salary An employment information service claims the mean annual salary for home care physical therapists is more than $80,000. The annual salaries (in dollars) for a random sample of 12 home care physical therapists are shown in the table at the left. At α = 0.10, is there enough evidence to support the claim that the mean salary is more than $80,000? (Adapted from Salary.com)
Hypothesis Testing Using Rejection Regions In Exercises 19–26, (a) identify the claim and state H 0 and H a , (b) find the critical value(s) and identify the rejection region(s), (c) find the standardized test statistic t, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the population is normally distributed. 26. Annual Salary An employment information service claims the mean annual salary for home care physical therapists is more than $80,000. The annual salaries (in dollars) for a random sample of 12 home care physical therapists are shown in the table at the left. At α = 0.10, is there enough evidence to support the claim that the mean salary is more than $80,000? (Adapted from Salary.com)
Solution Summary: The claim is that the mean annual salary for home care physical therapists is more than 80,000. The alternative hypothesis indicates the claim.
Hypothesis Testing Using Rejection RegionsIn Exercises 19–26, (a) identify the claim and state H0and Ha, (b) find the critical value(s) and identify the rejection region(s), (c) find the standardized test statistic t, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the population is normally distributed.
26. Annual Salary An employment information service claims the mean annual salary for home care physical therapists is more than $80,000. The annual salaries (in dollars) for a random sample of 12 home care physical therapists are shown in the table at the left. At α = 0.10, is there enough evidence to support the claim that the mean salary is more than $80,000? (Adapted from Salary.com)
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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Hypothesis Testing and Confidence Intervals (FRM Part 1 – Book 2 – Chapter 5); Author: Analystprep;https://www.youtube.com/watch?v=vth3yZIUlGQ;License: Standard YouTube License, CC-BY