Question

In: Statistics and Probability

Suppose that the amount of sugar in a can of Pepsi is normally distributed with mean...

Suppose that the amount of sugar in a can of Pepsi is normally distributed with mean μ = 55 g
and standard deviation σ = 1.5 g. What is the probability that
a. the amount of sugar in the can is more than 56 grams?
b. the amount of sugar in the can is less than 53 grams?
c. the amount of sugar in the can is more than 2 standard deviations away from the mean?

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Suppose that the amount of sugar in a can of Pepsi is normally distributed with mean...
Suppose that the amount of sugar in a can of Pepsi is normally distributed with mean μ = 55 g and standard deviation σ = 1.5 g. What is the probability that d. What is the amount of sugar such that we can know that 97.5% of the cans will have less than that amount of sugar? e. Suppose that at the plant we randomly sample 25 cans. What is the probability that their average amount of sugar is more...
Suppose that the volume in a soda can is normally distributed with mean 350 mL and...
Suppose that the volume in a soda can is normally distributed with mean 350 mL and standard deviation 6 mL. a) Determine the probability that a single randomly selected can has a volume between 345 and 355 mL. Now consider a random sample of 6 cans. b) Is the CLT for means valid? (yes/no) c) Calculate the SD of the sampling distribution. (4 decimal places) d) Determine the probability that the average volume in this six pack is between 345...
Assume that the amount of cornflakes in a box is normally distributed with a mean of...
Assume that the amount of cornflakes in a box is normally distributed with a mean of 16 oz. and a standard deviation of 0.1 oz. a) Determine the percent of boxes that will contain between 15.83 oz. and 16.32 oz. of cornflakes? b) Determine the percent of boxes that will contain more than 16.16 oz. of cornflakes. c) If the manufacturer produces 300,000 boxes, how many of them will contain less than 15.83 oz. of cornflakes? d) If the manufacturer...
The sugar content of the syrup in canned peaches is normally distributed. Suppose that the variance...
The sugar content of the syrup in canned peaches is normally distributed. Suppose that the variance is thought to be σ^2=18⁢  (milligrams)^2. A random sample of n = 10 cans yields a sample standard deviation of s = 4.8 milligrams. (a) Test the hypothesis H0:σ^2 = 18 versus H1:σ2 ≠ 18 using α = 0.05 Find χ02 .Round your answer to two decimal places (e.g. 98.76). Is it possible to reject H0 hypothesis at the 0.05 level of significance? A....
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of...
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of 2.0 liters and a standard deviation of 0.05 liter. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be between 1.99 and 2.0 liters​? b. What is the probability that the sample mean will be below 1.98 liters? c. What is the probability that the sample mean will be greater than 2.01 ​liters? d....
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of...
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of 2.0 liters and a standard deviation of 0.05 liter. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be between 1.99 and 2.0 liters​? b. What is the probability that the sample mean will be below 1.98 liters​? c. What is the probability that the sample mean will be greater than 2.01 ​liters? d....
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of...
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of 2.0 liters and a standard deviation of 0.07 liter. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be below 1.98 liters​? b. What is the probability that the sample mean will be greater than 2.01 ​liters? c. The probability is 99​% that the sample mean amount of soft drink will be at least...
The amount of water in a bottle is approximately normally distributed with a mean of 2.85...
The amount of water in a bottle is approximately normally distributed with a mean of 2.85 litres with a standard deviation of 0.035-liter. b. If a sample of 4 bottles is​ selected, the probability that the sample mean amount contained is less than 2.82 ​litres is 0.043. c. If a sample of 25 bottles is​ selected, the probability that the sample mean amount contained is less than 2.82 ​litres is 0. Explain the difference in the results of​ (b) and​...
The fill amount of bottles of a soft drink is normally distributed, with a mean of...
The fill amount of bottles of a soft drink is normally distributed, with a mean of 2.0 liters and a standard deviation of 0.04 liter. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be between 1.99 and 2.0 liters ? b. What is the probability that the sample mean will be below 1.98 liters ? c. What is the probability that the sample mean will be greater than 2.01...
The amount of time a shopper spends in the supermarket is normally distributed with a mean...
The amount of time a shopper spends in the supermarket is normally distributed with a mean of 45 minutes with a standard deviation of 12 minutes. If 10 shoppers are selected, how many of them will spend less than 35 minutes? Round your answer to 3 decimal places. Do not include units in your answer. 4 points QUESTION 13 The amount of time a shopper spends in the supermarket is normally distributed with a mean of 45 minutes with a...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT