A labor organization estimates that the median hourly earnings of male workers paid hourly rates is$12.74.In a random sample of31male workers paid hourly rates,13are paid less than$12.74per hour,16are paid more than$12.74per hour, and2are paid $12.74per hour. Atα=0.02, what is the test statistic and the critical value? Reject or fail to reject and why?

Null and Alternate Hypothesis: H0: M=12.74 HA: M≠12.74 From the…

Answered: A labor organization estimates that the…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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A labor organization estimates that the median hourly earnings of male workers paid hourly rates is

$12.74.

In a random sample of

male workers paid hourly rates,

are paid less than

$12.74

per hour,

are paid more than

$12.74

per hour, and

are paid

$12.74

per hour. At

α=0.02,

what is the test statistic and the critical value? Reject or fail to reject and why?

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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