Answered: A retirement consultant believes most…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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A retirement consultant believes most people stop working when they are 65. A journalist thinks the mean age is higher than 65. She randomly collects life history data on 10 seniors and finds the ages at which they stopped working was 71, 65, 67, 65, 70, 66, 63, 63, 67, 73. She performs a hypothesis test using a 5% level of significance. The data are assumed to be from a normal distribution. State the null and alternative hypothesis in symbolic form below: H0: HA: Based on HA will this be a right, left or 2 tail test? (Circle one) Since this is a test of a mean with an unknown population standard deviation which distribution should you use for your Hypothesis test? A student distribution (t-score) or a normal distribution (z-score) (Circle one) Find x̅(sample mean): Find s (round to 3 decimal places): Calculate the P-value (round to 3 decimal places): Choose the correct choices for your concluding statement: Since the P-value is __________ (Enter Low or high) We _________________________________hypothesis. (Enter one choice from below) (reject the null, accept the null, fail to reject the null, reject the alternative, or accept the alternative.)

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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