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).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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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