Question 1
A sample standard deviation and sample size are given. Use the one-standard-deviation χ2-interval procedure to obtain the specified confidence interval.
s = 7, n = 22 , 99% confidence interval
◦ 0.775 to 3.993
◦ 1.884 to 4.278
◦ 5.141 to 10.754
◦ 4.985 to 11.317
Question 2
Perform the required chi-square hypothesis test. Preliminary data analyses and other information indicate that it is reasonable to assume that the variable under consideration is normally distributed. Use the critical-value approach or the P-value approach as indicated.
A machine dispenses a liquid drug into bottles in such a way that the standard deviation of the contents is 81 milliliters. A new machine is tested on a sample of 24 containers and the standard deviation for this sample group is found to be 26 milliliters. At the 5% level of significance, do the data provide sufficient evidence to conclude that the standard deviation, σ, of the amounts dispensed by the new machine is less than 81 milliliters? Use the critical-value approach.
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