The fill amount of bottles of a soft drink is normally distributed, with a mean of 1.0 liter 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 between 0.99 and 1.0 liter? b. What is the probability that the sample mean will be below 0.98 liter? c. What is the probability that the sample mean will be greater than 1.01 liters? d. The probability is 90% that the sample mean amount of soft drink will be at least how much? e. The probability is 90% that the sample mean amount of soft drink will be between which two values (symmetrically distributed around the mean)? a. The probability is (Round to three decimal places as needed.) b. The probability is. (Round to three decimal places as needed.) c. The probability is. (Round to three decimal places as needed.) d. There is a 90% probability that the sample mean amount of soft drink will be at least liter(s). (Round to three decimal places as needed.) e. There is a 90% probability that the sample mean amount of soft drink will be between (Round to three decimal places as needed. Use ascending order.) liter(s) and liter(s).

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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The fill amount of bottles of a soft drink is normally distributed, with a mean of 1.0 liter 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 between 0.99 and 1.0 liter?
b. What is the probability that the sample mean will be below 0.98 liter?
c. What is the probability that the sample mean will be greater than 1.01 liters?
d. The probability is 90% that the sample mean amount of soft drink will be at least how much?
e. The probability is 90% that the sample mean amount of soft drink will be between which two values (symmetrically
distributed around the mean)?
a. The probability is
(Round to three decimal places as needed.)
b. The probability is.
(Round to three decimal places as needed.)
c. The probability is.
(Round to three decimal places as needed.)
d. There is a 90% probability that the sample mean amount of soft drink will be at least liter(s).
(Round to three decimal places as needed.)
e. There is a 90% probability that the sample mean amount of soft drink will be between
(Round to three decimal places as needed. Use ascending order.)
liter(s) and
liter(s).
Transcribed Image Text:The fill amount of bottles of a soft drink is normally distributed, with a mean of 1.0 liter 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 between 0.99 and 1.0 liter? b. What is the probability that the sample mean will be below 0.98 liter? c. What is the probability that the sample mean will be greater than 1.01 liters? d. The probability is 90% that the sample mean amount of soft drink will be at least how much? e. The probability is 90% that the sample mean amount of soft drink will be between which two values (symmetrically distributed around the mean)? a. The probability is (Round to three decimal places as needed.) b. The probability is. (Round to three decimal places as needed.) c. The probability is. (Round to three decimal places as needed.) d. There is a 90% probability that the sample mean amount of soft drink will be at least liter(s). (Round to three decimal places as needed.) e. There is a 90% probability that the sample mean amount of soft drink will be between (Round to three decimal places as needed. Use ascending order.) liter(s) and liter(s).
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