A machine cuts steel to length for nails. The mean length of a nail is 43 millimeters.
There is concern that the settings of the machine producing the nails have changed. To
test the claim, 12 nails (n = 12) were sampled. The mean of the sample is 41.5 and the
standard deviation is 1.784. To test the claim at the 0.02 significance level, what is the
critical value?
We are interested in knowing if the following frequency distribution is normally
distributed. The population mean and standard deviation are 600 and 160, respectively.
To test the hypothesis that the frequency distribution is normally distributed, what are
the degrees of freedom for the chi-square statistic?