Consider the following scores from 6 randomly selected students who took a skills test before and after a class. Each score is on a scale from 0 to 10, with 10 being the highest score. (Assume that the scores for the population of all such students are normally distributed for both tests, so that the small sample size are not a problem.) Student Test 1 2 3 4 5 6 Before 1 9 6 3 3 5 After 3 10 5 10 8 8 Is there sufficient evidence based on the data to calculate that the mean score after the class is larger than the mean score before the class at level alpha = 0.05?State the appropriate hypothesis, calculate an appropriate test statistic, compute the P-value or critical value, and state your conclusion. Be complete.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
Question

Consider the following scores from 6 randomly selected students who took a skills test before and after a class. Each score is on a scale from 0 to 10, with 10 being the highest score. (Assume that the scores for the population of all such students are normally distributed for both tests, so that the small sample size are not a problem.)

Student
Test 1 2 3 4 5 6
Before 1 9 6 3 3 5
After 3 10 5 10 8 8

Is there sufficient evidence based on the data to calculate that the mean score after the class is larger than the mean score before the class at level alpha = 0.05?

State the appropriate hypothesis, calculate an appropriate test statistic, compute the P-value or critical value, and state your conclusion. Be complete.

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