A well designed and safe workplace can contribute greatly to increased productiv

Question

A well designed and safe workplace can contribute greatly to increased productivity. The accompanying data on maximun weight of lift (MAWL in kg) was randomly selected from the population of healty males age 18 – 30. Does the following data suggest that the population mean is equal to 25 kg? The population standard deviation is 5.45. Use a significance level (alpha) of 0.10.
25 23 27 21 24 22 23
a. Z one population
b. T one population
c. Z two population
d. T two population
A well designed and safe workplace can contribute greatly to increased productivity. The accompanying data on maximun weight of lift (MAWL in kg) was randomly selected from the population of healty males age 18 – 30. Does the following data suggest that the population mean is equal to 25 kg? The population standard deviation is 5.45. Use a significance level (alpha) of 0.10.
25 23 27 21 24 22 23
a. Z one population
b. T one population
c. Z two population
d. T two population
A well designed and safe workplace can contribute greatly to increased productivity. The accompanying data on maximun weight of lift (MAWL in kg) was randomly selected from the population of healty males age 18 – 30. Does the following data suggest that the population mean is equal to 25 kg? The population standard deviation is 5.45. Use a significance level (alpha) of 0.10.
25 23 27 21 24 22 23
a. Z one population
b. T one population
c. Z two population
d. T two population

Explanation / Answer

Option A is correct. We will use Z one population because population standard deviation is known

H0: u = 25

H1: u is not equal to 25

Sample mean = (25+23+27+21+24+22+23)/7 = 23.57

Z = ((23.57-25)/5.45)* Sqrt (7) = -0.6942

Critical value are -1.645 and 1.645

Since test statistic lies between critical values we failed to reject the null hypothesis and conclude that mean is not significantly different

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