Registered nurses earned an average annual salary of $69,110. For that same year, a survey was conducted of 41 California registered nurses to determine if the annual salary is higher than $69,110 for California nurses. The sample average was $71,121 with a sample standard deviation of $7,489. Conduct a hypothesis test at the 5% level. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, however.) Part (a) State the null hypothesis. H0: ? ≠ 69,110 H0: ? ≥ 69,110 H0: ? < 69,110 H0: ? = 69,110 Correct: Your answer is correct. Part (b) State the alternative hypothesis. Ha: ? ≠ 69,110 Ha: ? > 69,110 Ha: ? ≤ 69,110 Ha: ? = 69,110 Correct: Your answer is correct. Part (c) In words, state what your random variable X represents. X represents the average annual salary of nurses. X represents the annual salary of a nurse. X represents the number of registered nurses. X represents the proportion of nurses that earn more than $69,110. Correct: Your answer is correct. Correct! The investigation involves the average annual salary for registered nurses. Part (d) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.) Incorrect: Your answer is incorrect. Part (e) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) t Correct: Your answer is correct. = 1.719 Correct: Your answer is correct.

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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Registered nurses earned an average annual salary of $69,110. For that same year, a survey was conducted of 41 California registered nurses to determine if the annual salary is higher than $69,110 for California nurses. The sample average was $71,121 with a sample standard deviation of $7,489. Conduct a hypothesis test at the 5% level. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, however.) Part (a) State the null hypothesis. H0: ? ≠ 69,110 H0: ? ≥ 69,110 H0: ? < 69,110 H0: ? = 69,110 Correct: Your answer is correct. Part (b) State the alternative hypothesis. Ha: ? ≠ 69,110 Ha: ? > 69,110 Ha: ? ≤ 69,110 Ha: ? = 69,110 Correct: Your answer is correct. Part (c) In words, state what your random variable X represents. X represents the average annual salary of nurses. X represents the annual salary of a nurse. X represents the number of registered nurses. X represents the proportion of nurses that earn more than $69,110. Correct: Your answer is correct. Correct! The investigation involves the average annual salary for registered nurses. Part (d) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.) Incorrect: Your answer is incorrect. Part (e) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) t Correct: Your answer is correct. = 1.719 Correct: Your answer is correct.

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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