If we don\'t know the population standard deviation (), we can use the sample st

Question

If we don't know the population standard deviation (), we can use the sample standard deviation (sx as an estimate, but then we can't use the standard normal distribution, because we have added uncertainty. Instead we use the t-distribution with a certain degrees of freedom v n-1. Use the t-distribution table from the tables packet or your calculator to find the following values The value tax where = 0.05 and n = 15 The value t2 where = 0.05 and n = 15 The value tax where = 0.10 and n = 36 The value ta2x where = 0.05 and n = 36 The p-val of a two-tailed test when n = 8 and to =-3.578 The p-val of a one-tailed test when n = 8 and to =-3.578 The p-val of a two-tailed test when n = 24 and to = 1.423 The p-val of a one-tailed test when n = 24 and to = 1.423 The p-val of a two-tailed test when n = 8, 0 = 53.2, x = 52.135,s = 0.75

Explanation / Answer

Ans:

p-value of two tailed test :

t=(52.135-53.2)*sqrt(8)/0.75=-4.016

df=8-1=7

p-value(2 tailed)=tdist(4.016,7,2)=0.0051

alpha n df t* 0.05 15 14 one tailed 1.761 0.05 15 14 two tailed 2.145 0.1 36 35 one tailed 1.306 0.05 36 35 two tailed 2.030

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