First post: Given a sample mean (xbar) of 57 and a population standard deviation sigma () of 3.5 from a previous study where n= 35 values, find the z value and p value. The data indicates that the population mean () for the new car Eco Auto is 59 miles per gallon but we think it may be lower based on our data. Test the claim that < 59. Hint: Use the P value calculator in the announcements to find the p value. Note: On this one you do not need to attach an excel spreadsheet.

Student Response:

Ho: =59

Ha: <59

You can put this in excel or your calculator

Z=(xbar-)/(/ sqrt n) wherexbar=57, =59, population standard deviation sigma = 3.5 and n=35

=-3.38

Using the z to p value calculator

https://www.socscistatistics.com/pvalues/normaldistribution.aspx

with =.05, 1 tailed test and z=-3.38, you get

p=.000362

Since p < .05, you reject the null.