A report from 2019 claims that the average salary of a retail worker is $15 per hour. You collect data from a random sample of 30 retail wor

Question

A report from 2019 claims that the average salary of a retail worker is $15 per hour. You collect data from a random sample of 30 retail workers in Atlanta and calculate the average salary for workers from your sample to be $16.00 with a standard deviation of $2.80. Conduct a hypothesis test to determine if the true average hourly wage of a retail worker is different than the claim of $15.

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niczorrrr 4 years 2021-08-19T04:06:16+00:00 1 Answers 6 views 0

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  1. Sigrid
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    2021-08-19T04:07:58+00:00
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    Answer:

    Hypothesis test conclusion , average salary  ≠ 15

    Step-by-step explanation:

    Null Hypothesis [H0] : Average Salary = 15  

    Alternate Hypothesis [H1] : Average Salary ≠ 15

    t = (x bar – μ) ÷ (s / √[n])

    Sample Mean [x bar] = 16 , Population Mean [μ] = 15 , Standard Deviation [s] = 2.80 , [Sample number] n = 30

    t = (16 – 15) / (2.80 / 5.47)

    t = 1 / 0.5

    t = 2

    As calculated value ie 2 > tabulated critical value ie 1.96 , at significance level 0.05. So, we reject the Null Hypothesis.

    Hence, as per Alternate Hypothesis, average salary  ≠ 15

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