Question

A company uses a special type of woodworking glue in the assembly of its furniture. During the past 36 weeks, the following amounts of
glue (in gallons) were used by the company:

25 38 26 31 21 46 29 19 35 39 24 2117 42 46 19 50 40 43 34 31 51 36 32 18 29 22 21 24 39 46 31 33 34 30 30

a. Compute the mean and the standard deviation of this sample.
b. Consider the following class intervals for the number of gallons used each
week:
Less than 20.
20–27.
28–33.
34–37.
38–43.
More than 43.
Determine the proportion of data points that fall into each of these intervals.
Compare these proportions to the probabilities that a normal variate with the
mean and the standard deviation you computed in part (a) falls into each of
these intervals. Based on the comparison of the observed proportions and those
obtained from assuming a normal distribution, would you conclude that the
normal distribution provides an adequate fit of these data?

Answer 1