the number of kms it can travel per litre of petrol, is normally distributed with a mean of 38 km/l and a standard deviation of 1.8 km/l. Suppose that the company samples six cars from the assembly line and tests their milage. (A)What is the distribution of the mean km/l for the sample? Select the correct choice below and fill in any answer boxes for that choice. (Type integers or decimals rounded to two decimal places) A. The sampling distribution of the mean follows a normal distribution with a mean of (???)km/l and a standard deviation of the sample mean(???)km/l. B. The sampling distribution of the mean follows a uniform distribution with a mean of(???)km/l and a standard deviation of the sample mean(???)km/l. C. The sampling distribution of the mean follows an exponential distribution with a mean of(???)km/l and a standard deviation of the sample mean(???)km/l. D. The sampling distribution of the mean follows a different distribution to the three listed above with a mean of(???)km/l and a standard deviation that cannot be determined from the information in the question. (B). The probability that the mean km/l of the sample will be greater than 40km/l is (???) (Round to four decimal places as needed.) c. The probability that the mean km/l of the sample will be less than 36.5 km/l is (???) (Round to four decimal places as needed.

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Description: the number of kms it can travel per litre of petrol, is normally distributed with a mean of 38 km/l and a standard deviation of 1.8 km/l. Suppose that the company samples six cars from the assembly line and tests their milage. (A)What is the distri

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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the number of kms it can travel per litre of petrol, is normally distributed with a mean of 38 km/l and a standard deviation of 1.8 km/l. Suppose that the company samples six cars from the assembly line and tests their milage.

(A)What is the distribution of the mean km/l for the sample? Select the correct choice below and fill in any answer boxes for that choice.

(Type integers or decimals rounded to two decimal places)

The sampling distribution of the mean follows a normal distribution with a mean of (???)km/l and a standard deviation of the sample mean(???)km/l.

The sampling distribution of the mean follows a uniform distribution with a mean of(???)km/l and a standard deviation of the sample mean(???)km/l.

The sampling distribution of the mean follows an exponential distribution with a mean of(???)km/l and a standard deviation of the sample mean(???)km/l.

The sampling distribution of the mean follows a different distribution to the three listed above with a mean of(???)km/l and a standard deviation that cannot be determined from the information in the question.

(B). The probability that the mean km/l of the sample will be greater than 40km/l is (???)

(Round to four decimal places as needed.)

c. The probability that the mean km/l of the sample will be less than 36.5 km/l is (???)

(Round to four decimal places as needed.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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