a. A college conducts both face to face and online classes that are intended to be identical. Given below are the distributions of the two groups in terms of marks scored in a statistics examination. Face to face Class 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 No. of Students 5 10 20 25 15 15 10 On-line Class 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 No. of Students 10 25 30 40 30 20 15 Test the hypothesis that the mean marks are statistically equal at the 5% level of significance and write a 5% confidence interval estimate of the difference between the two means

a. A college conducts both face to face and online classes that are intended to be identical. Given below are the distributions of the two groups in terms of marks scored in a statistics examination. Face to face Class 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 No. of Students 5 10 20 25 15 15 10 On-line Class 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 No. of Students 10 25 30 40 30 20 15 Test the hypothesis that the mean marks are statistically equal at the 5% level of significance and write a 5% confidence interval estimate of the difference between the two means

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 4AGP

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a. A college conducts both face to face and online classes that are intended to be identical. Given below are the distributions of the two groups in terms of marks scored in a statistics examination.

Face to face Class	0 – 10	10 – 20	20 – 30	30 – 40	40 – 50	50 – 60	60 – 70
No. of Students	5	10	20	25	15	15	10

On-line Class	0 – 10	10 – 20	20 – 30	30 – 40	40 – 50	50 – 60	60 – 70
No. of Students	10	25	30	40	30	20	15

Test the hypothesis that the mean marks are statistically equal at the 5% level of significance and write a 5% confidence interval estimate of the difference between the two means

Definition Definition Method in statistics by which an observation’s uncertainty can be quantified. The main use of interval estimating is for describing a range that is made by transforming a point estimate by determining the range of values, or interval within which the population parameter is likely to fall. This range helps in measuring its precision.

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