Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 10 - Section 10.3 - Assess Your Understanding - Applying the Concepts - Page 505: 33

Answer

$t_0=-4.38$ with a P-value $\ltα$. Reject the null hypothesis. There is enough evidence to conclude that the mean credit card debt is lower than 4951 dollars.

Work Step by Step

$H_0: μ=4951$ versus $H_1: μ\lt4951$ Enter the data from StatCrunch survey in C1. Select Stat -> Basic Statistics -> 1-Sample t Select "One or more samples, each in a column". In the box above enter C1 Select "Perform hypothesis test". In "Hypothesized mean" enter 4951. Click Options and enter the level of confidence 95% and in "Alternative hypothesis" select Mean < hypothesized mean. Click OK. Click OK. $t_0=-4.38$ with a P-value $\lt0.001\ltα=0.05$. Rejecte the null hypothesis.
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