A social geographer wants to know whether the mean length of unemployment differs among the residents of two local communities. Random sampling was performed, and records from each sample produced the following statistics: Statistic Town 1 Town 2 Sample size 52 62 Sample mean 3.4 months 2.8 months Sample standard deviation 1.1 months 0.8 months A test for equality of variances is performed, and it indicates that the two populations do not have equal variances. Based on this assumption, calculate the standard error of the sampling distribution of means. Match the statistical term with its correct value for this example. 1. test statistic, t* = 3.27 2. Assuming 51 degrees of freedom, what is the p-value associated with 0.002 the test statistic? 0.1833 3. The standard error of the sampling distribution of means is_

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A social geographer wants to know whether the mean length of unemployment
differs among the residents of two local communities. Random sampling was
performed, and records from each sample produced the following statistics:
Statistic Town 1 Town 2
Sample size 52 62
Sample mean 3.4 months 2.8 months
Sample standard deviation 1.1 months 0.8 months
A test for equality of variances is performed, and it indicates that the two
populations do not have equal variances. Based on this assumption, calculate the
standard error of the sampling distribution of means.
Match the statistical term with its correct value for this example.
1. test statistic, t* =
3.27
2. Assuming 51 degrees of freedom,
what is the p-value associated with
0.002
the test statistic?
0.1833
3. The standard error of the sampling
distribution of means is_
Transcribed Image Text:A social geographer wants to know whether the mean length of unemployment differs among the residents of two local communities. Random sampling was performed, and records from each sample produced the following statistics: Statistic Town 1 Town 2 Sample size 52 62 Sample mean 3.4 months 2.8 months Sample standard deviation 1.1 months 0.8 months A test for equality of variances is performed, and it indicates that the two populations do not have equal variances. Based on this assumption, calculate the standard error of the sampling distribution of means. Match the statistical term with its correct value for this example. 1. test statistic, t* = 3.27 2. Assuming 51 degrees of freedom, what is the p-value associated with 0.002 the test statistic? 0.1833 3. The standard error of the sampling distribution of means is_
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