According to a recent study annual per capita consumption of milk in the United States is 21.5 gallons. Being from the Midwest, you believe milk consumption is higher there and wish to test your hypothesis. A sample of 14 individuals from the Midwestern town of Webster City was selected and then each person's milk consumption was entered into the Microsoft Excel Online file below. Use the data to set up your spreadsheet and test your hypothesis. Develop a hypothesis test that can be used to determine whether the mean annual consumption in Webster City is higher than the national mean. H0: ? ___> 21.5≥ 21.5= 21.5≤ 21.5< 21.5≠ 21.5 Ha: ? _> 21.5≥ 21.5= 21.5≤ 21.5< 21.5≠ 21.5 What is a point estimate of the difference between mean annual consumption in Webster City and the national mean? (2 decimals) At ? = 0.01, test for a significant difference by completing the following. Calculate the value of the test statistic (2 decimals). The p-value is (4 decimals) Reject the null hypothesis? _NoYes What is your conclusion? _______There is insufficient evidence to conclude that the population mean consumption of milk in Webster City is greater than the hypothesized mean.Conclude the population mean consumption of milk in Webster City is greater than the hypothesized mean. Gallons of Milk 27.1 23.84 25.25 21 17.52 19.61 19.83 26.18 34.97 29.9 28.59 20.57 26.94 27.24

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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According to a recent study annual per capita consumption of milk in the United States is 21.5 gallons. Being from the Midwest, you believe milk consumption is higher there and wish to test your hypothesis. A sample of 14 individuals from the Midwestern town of Webster City was selected and then each person's milk consumption was entered into the Microsoft Excel Online file below. Use the data to set up your spreadsheet and test your hypothesis.

Develop a hypothesis test that can be used to determine whether the mean annual consumption in Webster City is higher than the national mean.

H₀: ? _________> 21.5≥ 21.5= 21.5≤ 21.5< 21.5≠ 21.5

H_a: ? _________> 21.5≥ 21.5= 21.5≤ 21.5< 21.5≠ 21.5
What is a point estimate of the difference between mean annual consumption in Webster City and the national mean?

(2 decimals)
At ? = 0.01, test for a significant difference by completing the following.

Calculate the value of the test statistic (2 decimals).

The p-value is (4 decimals)

Reject the null hypothesis?

_____NoYes

What is your conclusion?

_________There is insufficient evidence to conclude that the population mean consumption of milk in Webster City is greater than the hypothesized mean.Conclude the population mean consumption of milk in Webster City is greater than the hypothesized mean.

Gallons of Milk

27.1

23.84

25.25

21

17.52

19.61

19.83

26.18

34.97

29.9

28.59

20.57

26.94

27.24

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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