Consider the following situation. The average number of pieces of silverware in
ID: 3226915 • Letter: C
Question
Consider the following situation. The average number of pieces of silverware in households in Cititon has historically been 25.5 with a population standard deviation of 1.8 A randomly detected sample of 32 households in citation has an average of 26.4 pieces of silverware. At (alpha = 0.01). Is there enough evidence to conclude that the mean number of pieces of silverware is now more than 25.5? What is the critical value? If there are critical values, give the larger of the two. Round your answer to 2 decimal places. __________Explanation / Answer
The critical value here is computed as:
As we are doing the test at 1 level of significance and as this is a one tailed test, there will only be one critical value here. From the standard normal table we get:
P( Z > 2.326) = 0.01
Therefore the critical value here is 2.33 ( rounded to 2 decimal place )