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A standardized test has been conducted to compute the compressive strength of two brands of cements. Fourteen cubes of cement 1 were tested by crushing them under a hydraulic press. Fifteen cubes of cement 2 were tested under similar condition. The cubes of cement 1 gave an average compressive strength of 59.4 MPa with a sample standard deviation of 7.8 MPa, while the cubes of cement 2 gave an average of 55.8 MPa with a sample standard deviation of 8.2 MPa. Can we conclude at the 0.05 level of significance that the compressive strength of cement 1 exceeds that of cement 2 by more than 2 MPa? Assume the populations to be approximately normal with equal variances. 41 What is the critical value? * (2 Points) 1.3137 1.7033 O 2.4727 O 2.0518

A standardized test has been conducted to compute the compressive strength of two brands of cements. Fourteen cubes of cement 1 were tested by crushing them under a hydraulic press. Fifteen cubes of cement 2 were tested under similar condition. The cubes of cement 1 gave an average compressive strength of 59.4 MPa with a sample standard deviation of 7.8 MPa, while the cubes of cement 2 gave an average of 55.8 MPa with a sample standard deviation of 8.2 MPa. Can we conclude at the 0.05 level of significance that the compressive strength of cement 1 exceeds that of cement 2 by more than 2 MPa? Assume the populations to be approximately normal with equal variances. 41 What is the critical value? * (2 Points) 1.3137 1.7033 O 2.4727 O 2.0518

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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
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Problem Solving: Caselet 4 A standardized test has been conducted to compute the compressive strength of two brands of cements. Fourteen cubes of cement 1 were tested by crushing them under a hydraulic press. Fifteen cubes of cement 2 were tested under similar condition. The cubes of cement 1 gave an average compressive strength of 59.4 MPa with a sample standard deviation of 7.8 MPa, while the cubes of cement 2 gave an average of 55.8 MPa with a sample standard deviation of 8.2 MPa. Can we conclude at the 0.05 level of significance that the compressive strength of cement 1 exceeds that of cement 2 by more than 2 MPa? Assume the populations to be approximately normal with equal variances. 41 What is the critical value? * (2 Points) 1.3137 1.7033 2.4727 2.0518 42 What is the standardized test statistic? * (4 Points) 1.254 2.9766 8.0099 0.5375 43 What is the statistical decision in statement form? * (1 Point) With 0.05 level of significance, there is no sufficient evidence to claim that Cement 1 has stronger compressive strength than Cement 2 by 2 MPa With 0.05 level of significance, there is enough evidence to claim that Cement 1 has stronger compressive strength than Cement 2 by 2 MPa
Transcribed Image Text:Problem Solving: Caselet 4 A standardized test has been conducted to compute the compressive strength of two brands of cements. Fourteen cubes of cement 1 were tested by crushing them under a hydraulic press. Fifteen cubes of cement 2 were tested under similar condition. The cubes of cement 1 gave an average compressive strength of 59.4 MPa with a sample standard deviation of 7.8 MPa, while the cubes of cement 2 gave an average of 55.8 MPa with a sample standard deviation of 8.2 MPa. Can we conclude at the 0.05 level of significance that the compressive strength of cement 1 exceeds that of cement 2 by more than 2 MPa? Assume the populations to be approximately normal with equal variances. 41 What is the critical value? * (2 Points) 1.3137 1.7033 2.4727 2.0518 42 What is the standardized test statistic? * (4 Points) 1.254 2.9766 8.0099 0.5375 43 What is the statistical decision in statement form? * (1 Point) With 0.05 level of significance, there is no sufficient evidence to claim that Cement 1 has stronger compressive strength than Cement 2 by 2 MPa With 0.05 level of significance, there is enough evidence to claim that Cement 1 has stronger compressive strength than Cement 2 by 2 MPa
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