Suppose that the distribution of the weights of bags of carrots from brand A is N(1.2,0.049)...
Suppose that the distribution of the weights of bags of carrots from brand A is N(1.2,0.049) and the distribution of the weights of bags of carrots from brand A is N(3.5, 0.081). The weights of bags from two brands is independent. Selecting bags at random find
a) The probability that the sum of a random sample of the weights of three bags from brand A exceeds the weight of a bag from brand B. Give answer to the 4th decimal.
b) The probability that the weight of a bag of carrots from brand A or one-third the weight of a bag of carrots from brand B is at least 1.2 pounds. Give answer to the 4th decimal.
Homework Answers
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Suppose that the distribution of the weights of bags of carrots
from brand A is N(1.2,0.049)...
16. A random and independently chosen sample of four bags of horse carrots, each bag labeled...
16.
A random and independently
chosen sample of four bags of horse carrots, each bag labeled 20
pounds, had weights of
20.520.5,
19.919.9,
20.920.9,
and
20.020.0
pounds. Assume that the distribution of weights in the
population is Normal. Complete parts a through c below.
A random and independently chosen sample of four bags of horse carrots, each bag labeled 20 pounds, had weights of 20.5, 19.9, 20.9, and 20.0 pounds. Assume that the distribution of weights in the population is...
The weights of bags of baby carrots are normally distributed, with a mean of 32 ounces...
The weights of bags of baby carrots are normally distributed, with a mean of 32 ounces and a standard deviation of 0.36 ounce. A) Sketch the distribution of weights and label the mean, µ, and label two standard deviations in both directions on the sketch. B) Bags that weigh more than 32.6 oz are considered too heavy and must be repackaged. What percentage of bags of baby carrots will need to be repackaged? (1) Draw a new picture and shade...
A worker at a landscape design center uses a machine to fill bags with potting soil....
A worker at a landscape design center uses a machine to fill bags with potting soil. Assume that the quantity put in each bag follows the continuous uniform distribution with low and high filling weights of 10.8 pounds and 15.7 pounds, respectively. a. Calculate the expected value and the standard deviation of this distribution. (Do not round intermediate calculations. Round your "Expected value" to 2 decimal places and "Standard deviation" answer to 4 decimal places.) b. Find the probability that...
Let us assume that the weights of bags of dog food are normally distributed with a...
Let us assume that the weights of bags of dog food are normally distributed with a mean of 50 lb and a standard deviation of 2.5 lb. (a) Describe the shape and horizontal scaling on the graph of the distribution for the population of all weights of bags of fertilizer. (b) Find the probability that the weight from a single randomly selected bag will be less than 46 lbs. Based upon your results, would it be unusual to find an...
1 point The weights of cans of Ocean brand tuna are supposed to have a net...
1 point The weights of cans of Ocean brand tuna are supposed to have a net weight of 6 ounces. The manufacturer tells you that the net weight is actually a Normal random variable with a mean of 6.03 ounces and a standard deviation of 0.23 ounces. Suppose that you draw a random sample of 43 cans. Part i) Using the information about the distribution of the net weight given by the manufacturer, find the probability that the mean weight...
Bags of a certain brand of tortilla chips claim to have a net weight of 14...
Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. Net weights actually vary slightly from bag to bag and are normally distributed with mean u. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised and so intends to test the hypotheses Ho: u = 14, Hai u < 14. To do this, he selects 16 bags of...
25. A manufacturing process produces bags of cookies. The distribution of content weights of these bags...
25. A manufacturing process produces bags of cookies. The distribution of content weights of these bags is Normal with mean 16.0 oz and standard deviation 0.8 oz. We will randomly select n bags of cookies and weigh the contents of each bag selected. If 100 bags of cookies are selected randomly, the probability that the sample mean will be between 15.84 and 16.16 ounces is a) 0.046. Ob) 0.110. c) 0.890. d) 0.954.
A sample of 20 small bags of the same brand of candies was selected. Assume that...
A sample of 20 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was 2 ounces with a sample standard deviation0.4 ounces. We would like to calculate an 80% confidence interval for the average weight of a sample of size 20 a. (3%) standard error b. (396) The critical 1 value for an 80% confidence interval is crit...
A sample of 20 small bags of the same brand of candies was selected. Assume that...
A sample of 20 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was 2 ounces with a sample standard deviation0.4 ounces. We would like to calculate an 80% confidence interval for the average weight of a sample of size 20 a. (3%) standard error b. (396) The critical 1 value for an 80% confidence interval is crit...
how to do the part II The weights of cans of Ocean brand tuna are supposed...
how to do the part II
The weights of cans of Ocean brand tuna are supposed to have a net weight of 6.0 ounces. The manufacturer tells you that the net weight is actually a Normal random variable with a mean of 6.01 ounces and a standard deviation of 0.21 ounces. Suppose that you draw a random sample of 34 such cans. Part i) Using the information about the distribution of the net weight given by the manufacturer, Åfind the...
16.
A random and independently
chosen sample of four bags of horse carrots, each bag labeled 20
pounds, had weights of
20.520.5,
19.919.9,
20.920.9,
and
20.020.0
pounds. Assume that the distribution of weights in the
population is Normal. Complete parts a through c below.
A random and independently chosen sample of four bags of horse carrots, each bag labeled 20 pounds, had weights of 20.5, 19.9, 20.9, and 20.0 pounds. Assume that the distribution of weights in the population is...
1 point The weights of cans of Ocean brand tuna are supposed to have a net weight of 6 ounces. The manufacturer tells you that the net weight is actually a Normal random variable with a mean of 6.03 ounces and a standard deviation of 0.23 ounces. Suppose that you draw a random sample of 43 cans. Part i) Using the information about the distribution of the net weight given by the manufacturer, find the probability that the mean weight...
Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. Net weights actually vary slightly from bag to bag and are normally distributed with mean u. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised and so intends to test the hypotheses Ho: u = 14, Hai u < 14. To do this, he selects 16 bags of...
25. A manufacturing process produces bags of cookies. The distribution of content weights of these bags is Normal with mean 16.0 oz and standard deviation 0.8 oz. We will randomly select n bags of cookies and weigh the contents of each bag selected. If 100 bags of cookies are selected randomly, the probability that the sample mean will be between 15.84 and 16.16 ounces is a) 0.046. Ob) 0.110. c) 0.890. d) 0.954.
A sample of 20 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was 2 ounces with a sample standard deviation0.4 ounces. We would like to calculate an 80% confidence interval for the average weight of a sample of size 20 a. (3%) standard error b. (396) The critical 1 value for an 80% confidence interval is crit...
A sample of 20 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was 2 ounces with a sample standard deviation0.4 ounces. We would like to calculate an 80% confidence interval for the average weight of a sample of size 20 a. (3%) standard error b. (396) The critical 1 value for an 80% confidence interval is crit...
how to do the part II
The weights of cans of Ocean brand tuna are supposed to have a net weight of 6.0 ounces. The manufacturer tells you that the net weight is actually a Normal random variable with a mean of 6.01 ounces and a standard deviation of 0.21 ounces. Suppose that you draw a random sample of 34 such cans. Part i) Using the information about the distribution of the net weight given by the manufacturer, Åfind the...
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