Question
don't use a computer software!!!!
calculate this T distribution problem by hand with step by step explanation
Insert Format Fort ToolsTable window Help@ 41) 98%-. Sat 8: . . HW1.2.docx (Recovered) [Compatibility Model Paragrap . 2.15. The shelf life of a carbonated beverage is of interest. Ten bottles are randomly selected and tested, and the follow- ing results are obtained: Days 108138 124 163 124 159 106 134 115 139 What is the power of the test if the mean shelf life is in fact 130 days? Use the sample standard deviation as an estimate of the population standard deviation To increase the power you found in part, we increase the sample size from 10 to 70 by an increment of 1. Create a graph of sample size (horizontal axis) vs power (vertical axis). Based on the graph, what is the smallest sample size to achieve a power of 0.8? Can the data justify that the shelf life can be described or adequately modeled by a normal distribution? What effects would the violation of this assumption have on the confidence interval and the test procedure? Pages: 2 of 2 Words: 302 Dw AiPs
Explanation / Answer
Sol:
For the given sample
n=10
Get the sample mean and sample standard devitaion
Sample standrad dveiation is an estimator of population standard deviation.
Sample mean=108+124+124+106+!15+138+163+159+134+139/10
=1310/10
=131
sample standard deviation=19.5448203
t=sample mean-population mean/sample stddev/sqrt(n)
=131-130/19.5448203/sqrt(10)
=0.1617
