Standardized measures seem to indicate that the average level of anxiety has increased gradually over the past 50 years. (Twenge, 2000). In the 1950s , the average score on the Child Manifest Anxiety Scale was μ= 15.1. A sample of n = 16 of today's children produces a mean score of M = 23.3 with SS = 240.  Based on the sample, has there been a significant increase in the average level of anxiety since the 1950s?  Use a one-tail test with α= .05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Standardized measures seem to indicate that the average level of anxiety has increased gradually over the past 50 years. (Twenge, 2000). In the 1950s , the average score on the Child Manifest Anxiety Scale was μ= 15.1. A sample of n = 16 of today's children produces a mean score of M = 23.3 with SS = 240. 

Based on the sample, has there been a significant increase in the average level of anxiety since the 1950s?  Use a one-tail test with α= .05.

Please answer the question using all of the steps presented  on your practice problem assignment.  (null in word, alternative in words, null in symbols, alternative in symbols, critical region t,  df,  all steps in the analysis computing your computed t, make a decision, and give a conclusion. 

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