Statistics Homework

Question

You wish to test the following claim (Ha) at a significance level of α=0.005.

      Ho:μ=58.6 

      Ha:μ≠58.6

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=30 with mean x̄=60.7 and a standard deviation of s=8.3.

What is the test statistic for this sample? (Report answer accurate to three decimal places.) 

test statistic = Incorrect

What is the p-value for this sample? (Report answer accurate to four decimal places.) 

p-value = 

Answer 1

you might mean 95%, or .05, not .005

then z=2,using the empirical rule

for a 2 tailed hypothesis test

you can find some p value calculators on line

that give you the p value from the z score

p value for z=2 is .046 < .05

not significant, so failure to reject Ho

if

p-value for z=2.807 is .09997

if p <.05, it's not significant

.09997 > .05, it's significant,so reject null Hypothesis

if you really meant 005, then z = 2.807

using z tables

or z= about 3 using the empirical rule, as.995 is virtually the same as .997=99.7%

that's a larger margin of error, making it less likely to reject the null hypothesis