A sports magazine reports that the mean number of hot dogs sold by hot dog vendors at a certain sporting event is equal to 150. A random sample of 50 hot dog vendors was selected, and the mean number of hot dogs sold by the vendors at the sporting event was 140.For samples of size 50, which of the following is true about the sampling distribution of the sample mean number of hot dogs sold by hot dog vendors at the sporting event? For all random samples of 50 sporting events, the sample mean will be 150 hot dogs.AFor all random samples of 50 hot dog vendors, the sample mean will be 140 hot dogs.BThe mean of the sampling distribution of the sample mean is 150 hot dogs.CThe mean of the sampling distribution of the sample mean is 140 hot dogs.DAll random samples of 50 hot dog vendors will have a sample mean within 10 hot dogs of the population mean.ESelect A, B, C, D , OR E

Points on the sampling distribution of the sample mean: If the true population distribution of a…

Answered: A sports magazine reports that the mean…

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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A sports magazine reports that the mean number of hot dogs sold by hot dog vendors at a certain sporting event is equal to 150. A random sample of 50 hot dog vendors was selected, and the mean number of hot dogs sold by the vendors at the sporting event was 140.

For samples of size 50, which of the following is true about the sampling distribution of the sample mean number of hot dogs sold by hot dog vendors at the sporting event?

For all random samples of 50 sporting events, the sample mean will be 150 hot dogs.

A
For all random samples of 50 hot dog vendors, the sample mean will be 140 hot dogs.

B
The mean of the sampling distribution of the sample mean is 150 hot dogs.

C
The mean of the sampling distribution of the sample mean is 140 hot dogs.

D
All random samples of 50 hot dog vendors will have a sample mean within 10 hot dogs of the population mean.

E

Select A, B, C, D , OR E

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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