A survey has been conducted recently to study the hourly wages of part-time employees at the Food Delivery services sector. The result was organized into the following frequency distribution.   (i) The government wants to carry out similar survey next year. If the error of a point estimate of the mean is not more than $1.5, use the 97% confidence level to determine the sample size required to achieve this error.

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A survey has been conducted recently to study the hourly wages of part-time employees at the Food Delivery services sector. The result was organized into the following frequency distribution.

 

(i) The government wants to carry out similar survey next year. If the error of a point estimate of the mean is not more than $1.5, use the 97% confidence level to determine the sample size required to achieve this error.

(ii) Estimate, from the frequency distribution, the probability that at most one of six randomly selected employees have an hourly wages greater than $75.

(iii) Construct a 95% confidence interval for the population mean of hourly wages for all part-time em- ployees in the Food Delivery service sector. State any assumptions you may have used.

Hourly Wages
Number of Part-time Employees
$40 – less than $50
12
$50 – less than $60
26
$60 – less than $70
35
$70 – less than $80
17
$80 – less than $90
8
$90 – less than $100
2
Transcribed Image Text:Hourly Wages Number of Part-time Employees $40 – less than $50 12 $50 – less than $60 26 $60 – less than $70 35 $70 – less than $80 17 $80 – less than $90 8 $90 – less than $100 2
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