Question

Question 23 0 out of 10 points The weights of sacks of raw material produced by a supplier are normally distributed with a mean of 99.5 pounds and a standard deviation of 0.525 pounds What proportion of sacks weigh less than 100.75 pounds? Round to four decimal places. Question 24 8 out of 8 points A sample of UA students was taken. The students were asked their gender and their GPA. The data for this question are summarized in the two-way table below. GPA 2.0-2.5 2.6-2.9 3.0-3.5 Total 3.6-4.0 Female 1 1 20 31 Male 2 14 6 27 Total 3 6 23 26 58 What is the probability that the student is male? Round to three decimal places. Question 25 10 out of 10 points The weights of sacks of raw material produced by a supplier are normally distributed with a mean of 99.5 pounds and a standard deviation of 0.525 pounds. A distributor is interested in examining 16 sacks of raw materials and learning about the sampling distribution. What proportion of the 16 sacks have an average weight of more than 99.75 pounds? Round to four decimal places. Gender

Answer 1

Question 23)

Answer)

As the data is normally distributed we can use standard normal z table to estimate the probability

Given mean = 99.5

S.d = 0.525

Z = (x-mean)/s.d

We need to find

P(x<100.75)

Z = (100.75-99.5)/0.525

Z = 2.38

From z table, P(z<2.38) = 0.9913

Question 24)

Probability is given by

Favorable/total

Total is = 58 here

And favorable is that the student is male = 27

Required probability is 27/58 = 0.46551724137

= 0.466