Suppose that you have to decide if the mean of the light bulbs last longer than

Question

Suppose that you have to decide if the mean of the light bulbs last longer than 150 hours. You choose a random sample of 12 bulbs of each brand. What decision should you make at the 5% significance level (alpha = 0.05)?
128 189 139 148 186 141 163 101 195 142 174 114
a. Z test one population
b. Z test two population
c. T test two population
d. T one population
Suppose that you have to decide if the mean of the light bulbs last longer than 150 hours. You choose a random sample of 12 bulbs of each brand. What decision should you make at the 5% significance level (alpha = 0.05)?
128 189 139 148 186 141 163 101 195 142 174 114
a. Z test one population
b. Z test two population
c. T test two population
d. T one population
Suppose that you have to decide if the mean of the light bulbs last longer than 150 hours. You choose a random sample of 12 bulbs of each brand. What decision should you make at the 5% significance level (alpha = 0.05)?
128 189 139 148 186 141 163 101 195 142 174 114
a. Z test one population
b. Z test two population
c. T test two population
d. T one population

Explanation / Answer

here n=sample size=12 , significance level = 0.05

Both option a.) Z test one population and b.) Z test two population are use when the population standard deviation are known

in these example n=sample size=12 , and population standard deviation are not known hence both the option   

a.) Z test one population and b.) Z test two population are wrong

in option c) is use when standard deviation are not known but these T test two population is for checking wheather equality of two population means hence option c.) is wrong .

d.) T test one population is correct option. Because here one sample test concerning mean . here in these example n= sample size=12 , population standard deviation are not known and these is single samle data hence

option ( d.) T test one population is correct answer

the final answer option d.) T test one population is correct answer.

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