1. From the following data, what distribution should be used to calculate a 95%

Question

1. From the following data, what distribution should be used to calculate a 95% confidence interval for the population mean from the sample data.

T-distribution

z-distribution

chi-square distribution

f-distribution

2. From the dataset create a 95% confidence interval for the population mean from the sample data.

Determine the LCL for the interval.

3. From the dataset,  create a 95% confidence interval for the population mean from the sample data.

Determine the UCL for the interval.

45.0299258 50.41998976 49.49846336 50.98907515 47.65872747 53.88862975 52.60615673 51.41441854 53.42351507 50.28630041 50.15869739 46.02637911 43.71514935 50.82111513 54.76679418 55.51006599 48.11577584 38.85869684

Explanation / Answer

1) Since we can find the mean and sample standard deviation,,, So, T-distribution should be used.

Hence the ans is option -A.

2) Mean = 49.62155

sample std dev = 4.211178

T0.95,17 = 2.110

so, LCL for the interval = Mean - T0.95,17 * (sample std dev / sqrt(18))

                                     = 49.62155 - 2.110 * ( 4.211178 / srt(18)) = 47.5272 (ans)

3) UCL for the interval = Mean + T0.95,17 * (sample std dev / sqrt(18))

                                     = 49.62155 + 2.110 * ( 4.211178 / srt(18)) = 51.7159 (ans)

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