A researcher wants to know if the variability in test scores differs between students who take in-person exams and those who take online exams. She collects the following data from two independent samples. Use a 0.050.05 significance level to test the claim that the variances of the two groups are equal. Assume that the samples are from normally distributed populations.In-person Exams: n=27n=27, xˉ=81.3\bar{x}=81.3, s=7.25s = 7.25Online Exams: n=24n=24, xˉ=78.4\bar{x}=78.4, s=6.12s=6.12

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1. Intro to Stats and Collecting Data(0)

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Visualizing Qualitative vs. Quantitative Data
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Frequency Distributions
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Time-Series Graph
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3. Describing Data Numerically(0)

Mean
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Sampling Distribution of the Sample Mean and Central Limit Theorem
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Introduction to Confidence Intervals
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Determining the Minimum Sample Size Required
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Two Proportions
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Two Means - Unknown, Unequal Variance
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Two Means - Unknown, Equal Variance
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Two Means - Known Variance
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10. Hypothesis Testing for Two Samples

Two Variances and F Distribution

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Problem 6Multiple Choice

A researcher wants to know if the variability in test scores differs between students who take in-person exams and those who take online exams. She collects the following data from two independent samples. Use a $0.05$ significance level to test the claim that the variances of the two groups are equal. Assume that the samples are from normally distributed populations.
In-person Exams: $n equals 27$ , $x ˉ equals 81.3$ , $s equals 7.25$
Online Exams: $n equals 24$ , $x ˉ equals 78.4$ , $s equals 6.12$

There is sufficient evidence to support the claim that the variance of test scores in the online exam group is larger than that of the in-person exam group.

There is insufficient evidence to support the claim that the variance of test scores in the online exam group is larger than that of the in-person exam group.

There is insufficient evidence to warrant rejection of the claim that the variances of test scores are equal for both groups.

There is sufficient evidence to warrant rejection of the claim that the variances of test scores are equal for both groups.

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