The irradiation of food to destroy bacteria is a growing phenomenon. In order to determine which one
Question:
The irradiation of food to destroy bacteria is a growing phenomenon. In order to determine which one of two methods of irradiation is best, a scientist took a random sample of 100 one- pound packages of minced meat and subjected 50 of them to irradiation Method 1 and the remaining 50 to irradiation Method 2. The bacteria count was measured and the following statistics were computed. The scientist noted that the data are normally distributed. NOTE: use ONLY the Critical Value method for hypothesis tests. If you include both rules in step 4 or include both in your decision step, I will have to conclude that you do not yet understand them. Method 1
x ̄_1=86
s_1^2=324
Method 2
x ̄_2=98
s_2^2=841
a.) Estimate with 99% confidence the mean bacteria count with Method 2. Interpret the interval.
b.) Can we conclude at the 5% significance level that the variance of the bacteria count with Method 2 is less than 1,500?
c.) An important factor in determining which method to choose is consistency. That is, all other things being equal we’d prefer a method that leaves all irradiated food with approximately the same bacteria count. Can we infer at the 1% significance level that Method 1 is superior to Method 2 in this respect?
d.) Estimate with 95% confidence the variance of bacteria count with Method 1. Interpret the interval.
Expert Answer:
a We can estimate the mean bacteria count with Method 2 with 99 confidence as 98 2 58 This means tha... View the full answer
