Question

A manufacturing process produces bags of chips whose weight is N(16 oz, 1.5 oz). On a...

A manufacturing process produces bags of chips whose weight is N(16 oz, 1.5 oz). On a given day, the quality control officer takes a sample of 36 bags and computed the mean weight of these bags. The probability that the sample mean weight is below 16 oz is

Group of answer choices:

A. 0.55

B. 0.45

C. 0.50

D. 0.60

Homework Answers

Answer #1

Solution :

= / n = 1.5 / 36 =  0.25

P( < 16) = P(( - ) / < (16 - 16) / 0.25)

= P(z < 0)

= 0.50

Option C)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Bags of a certain brand of potato chips say that the net weight of the contents...
Bags of a certain brand of potato chips say that the net weight of the contents is 35.6 grams. Assume that the standard deviation of the individual bag weights is 5.2 grams. A quality control engineer selects a random sample of 100 bags. The mean weight of these 100 bags turns out to be 33.6 grams. Use this information to answer the questions below. 1. We can use a normal probability model to represent the distribution of sample means for...
A manufacturing process produces bags of cookies. The distribution of content weights of these bags is...
A manufacturing process produces bags of cookies. The distribution of content weights of these bags is Normal with mean 15.0 oz and standard deviation 1.0 oz. We will randomly select n bags of cookies and weigh the contents of each bag selected. Which of the following statements is true with respect to the sampling distribution of the sample mean, ¯xx¯? According to the law of large numbers, if the sample size, n, increases, ¯xx¯ will tend to be closer to...
Bags of a certain brand of potato chips say that the net weight of the contents...
Bags of a certain brand of potato chips say that the net weight of the contents is 35.6 grams. Assume that the standard deviation of the individual bag weights is 5.2 grams. A quality control engineer selects a random sample of 35 bags. The mean weight of these 35 bags turns out to be 33.6 grams. If the mean and standard deviation of individual bags is reported correctly, what is the probability that a random sample of 35 bags has...
A company distributing coffee produces coffee bags of whose weight is normally distributed with a mean...
A company distributing coffee produces coffee bags of whose weight is normally distributed with a mean of 11.9 oz. and a standard deviation of 0.2 oz. What is the probability a bag weights less than 12 oz? 0.3085             b) 0.6915            c) 0.8413                d) 0.9987                         If you fill the bag with more than 12.2 oz of coffee it will overflow. What percentage of bags overflows? 0.13%              b) 6.68%            c) 99.87%               d) 93.32%                       Current regulations of the state...
From a random sample of 16 bags of chips, sample mean weight is 500 grams and...
From a random sample of 16 bags of chips, sample mean weight is 500 grams and sample standard deviation is 3 grams. Assume that the population distribution is approximately normal. Answer the following questions 1 and 2. 1. Construct a 95% confidence interval to estimate the population mean weight. (i) State the assumptions, (ii) show your work and (iii) interpret the result in context of the problem. 2.  Suppose that you decide to collect a bigger sample to be more accurate....
When operating normally, a manufacturing process produces tablets for which the mean weight of the active...
When operating normally, a manufacturing process produces tablets for which the mean weight of the active ingredient is 5 grams, and the standard deviation is 0.025 gram. For a random sample of 10 tablets, the following weights of active ingredient (in grams) were found: 7 4+(1/5) 10 5+(1/6) 5+(1/3) 4.69 4.95 4.98 4.52 4.63 (Round the numbers to two digit decimals) Manufacturing department claims that the population mean weight of active ingredient per tablet is 5 grams. Based on this...
When operating normally, a manufacturing process produces tablets for which the mean weight of the active...
When operating normally, a manufacturing process produces tablets for which the mean weight of the active ingredient is 5 grams, and the standard deviation is 0.025 gram. For a random sample of 10 tablets, the following weights of active ingredient (in grams) were found: 7 4+(1/5) 10 5+(1/6) 5+(1/3) 4.69 4.95 4.98 4.52 4.63 (Round the numbers to two digit decimals) Manufacturing department claims that the population mean weight of active ingredient per tablet is 5 grams. Based on this...
When operating normally, a manufacturing process produces tablets for which the mean weight of the active...
When operating normally, a manufacturing process produces tablets for which the mean weight of the active ingredient is 5 grams, and the standard deviation is 0.025 gram. For a random sample of 12 tables the following weights of active ingredient (in grams) were found: 5.01 4.69 5.03 4.98 4.98 4.95 5.00 5.00 5.03 5.01 5.04 4.95 Without assuming that the population variance is known, test the null hypothesis that the population mean weight of active ingredient per tablet is 5...
Q1) Suppose a production line operates with a mean filling weight of 16 ounces per container....
Q1) Suppose a production line operates with a mean filling weight of 16 ounces per container. Since over- or under-filling can be dangerous, a quality control inspector samples of 24 items to determine whether the filling weight must be adjusted. The sample revealed a mean of 16.32 ounces with a sample standard deviation of 0.8 ounces. Using a 0.10 level of significance, can it be concluded that the process is out of control (not equal to 16 ounces)? Q2) A...
A manufacturing process sometimes has a fault which causes the mean weight of a screw to...
A manufacturing process sometimes has a fault which causes the mean weight of a screw to be lower than it should be, the fault does not affect the standard deviation of the produced screws, which is known for the population. An engineer wants to test whether the fault is present and conducts a z-test for means on the screw weights by taking the first 8 screws from the batch and weighing them. Which of the following best describes the appropriateness...