A road averages 2,785 vehicles per day with a standard deviation of 585 vehicles per day. A traffic counter was used on this road 38 days that were randomly selected. a. What is the probability that the sample mean is less than 2,600 vehicles per day? b. What is the probability that the sample mean is more than 2,800 vehicles per day? c. What is the probability that the sample mean is between 2,700 and 2,900 vehicles per day? d. Suppose the sample mean was 3,000 vehicles per day. Does this result support the stated population mean for this road? .... a. The probability that the sample mean will be less than 2,600 vehicles per day is (Type an integer or decimal rounded to four decimal places as needed.) b. The probability that the sample mean will be more than 2,800 vehicles per day is. (Type an integer or decimal rounded to four decimal places as needed.) c. The probability that the sample mean will be between 2,700 and 2,900 vehicles per day is. (Type an integer or decimal rounded to four decimal places as needed.)

MATLAB: An Introduction with Applications
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A road averages 2,785 vehicles per day with a standard deviation of 585 vehicles per day. A traffic counter was used on this road on 38 days that were randomly selected.
a. What is the probability that the sample mean is less than 2,600 vehicles per day?
b. What is the probability that the sample mean is more than 2,800 vehicles per day?
c. What is the probability that the sample mean is between 2,700 and 2,900 vehicles per day?
d. Suppose the sample mean was 3,000 vehicles per day. Does this result support the stated population mean for this road?
a. The probability that the sample mean will be less than 2,600 vehicles per day is
(Type an integer or decimal rounded to four decimal places as needed.)
b. The probability that the sample mean will be more than 2,800 vehicles per day is.
(Type an integer or decimal rounded to four decimal places
needed.)
c. The probability that the sample mean will be between 2,700 and 2,900 vehicles per day is
(Type an integer or decimal rounded to four decimal places as needed.)
d. Suppose the sample mean was 3,000 vehicles per day. Does this result support the stated population mean for this road? Consider a probability of less than 0.05 to be
small.
The probability that the average vehicles per day is more than 3,000 is. The result
support the findings because this probability is
0.05.
(Type an integer or decimal rounded to four decimal places as needed.)
Transcribed Image Text:A road averages 2,785 vehicles per day with a standard deviation of 585 vehicles per day. A traffic counter was used on this road on 38 days that were randomly selected. a. What is the probability that the sample mean is less than 2,600 vehicles per day? b. What is the probability that the sample mean is more than 2,800 vehicles per day? c. What is the probability that the sample mean is between 2,700 and 2,900 vehicles per day? d. Suppose the sample mean was 3,000 vehicles per day. Does this result support the stated population mean for this road? a. The probability that the sample mean will be less than 2,600 vehicles per day is (Type an integer or decimal rounded to four decimal places as needed.) b. The probability that the sample mean will be more than 2,800 vehicles per day is. (Type an integer or decimal rounded to four decimal places needed.) c. The probability that the sample mean will be between 2,700 and 2,900 vehicles per day is (Type an integer or decimal rounded to four decimal places as needed.) d. Suppose the sample mean was 3,000 vehicles per day. Does this result support the stated population mean for this road? Consider a probability of less than 0.05 to be small. The probability that the average vehicles per day is more than 3,000 is. The result support the findings because this probability is 0.05. (Type an integer or decimal rounded to four decimal places as needed.)
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