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​It's tough to find out how much people​ earn, but in​ 2011, a magazine reported that...

​It's tough to find out how much people​ earn, but in​ 2011, a magazine reported that the average​ lawyer's salary in a country was $64,000. Suppose that today you interview a random sample of 55 lawyers in the country and find that the average salary is $75,275​, with a standard deviation of $82,694.Do you think the average​ lawyer's salary today is higher than that reported by the magazine in​ 2011? For this​ problem, assume alphaαequals=0.05.

Let muμ be the population mean​ lawyer's salary in the country.

Determine the null and alternative hypotheses.

H0 : u = 64,000

HA : u > 64,000

What is the test statistic?

math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

Population mean = = 64000

Sample mean = = 75275

Sample standard deviation = s = 82694

Sample size = n = 55

The test statistic,

t = ( - )/ (s/)

= ( 75275 - 64000) / ( 82694 / 55 )

= 1.011

The test statistic is 1.011.

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