The United States ranks ninth in the world in per capita chocolate consumption; Forbes reports that the average American eats 9.5 pounds of chocolate annually. Suppose you are curious whether chocolate consumption is higher in Hershey, Pennsylvania, the location of the Hershey Company's corporate headquarters. A sample of 35 individuals from the Hershey area showed a sample mean annual consumption of 10.05 pounds and a standard deviation of s = 1.5 pounds. Using α = 0.05, do the sample results support the conclusion that mean annual consumption of chocolate is higher in Hershey than it is throughout the United States? State the null and alternative hypotheses. (Enter != for ≠ as needed.) H0:_____ Ha: Find the value of the test statistic. (Round your answer to three decimal places.) _. Find the p-value. (Round your answer to four decimal places.) p-value =__________. State your conclusion.(multiple choice) A. Do not reject H0. We cannot conclude that mean annual consumption of chocolate in Hershey is greater than mean annual consumption of chocolate throughout the United States. B. Do not reject H0. We can conclude that mean annual consumption of chocolate in Hershey is greater than mean annual consumption of chocolate throughout the United States. C. Reject H0. We cannot conclude that mean annual consumption of chocolate in Hershey is greater than mean annual consumption of chocolate throughout the United States. D. Reject H0. We can conclude that mean annual consumption of chocolate in Hershey is greater than mean annual consumption of chocolate throughout the United States.

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 United States ranks ninth in the world in per capita chocolate consumption; Forbes reports that the average American eats 9.5 pounds of chocolate annually. Suppose you are curious whether chocolate consumption is higher in Hershey, Pennsylvania, the location of the Hershey Company's corporate headquarters. A sample of 35 individuals from the Hershey area showed a sample mean annual consumption of 10.05 pounds and a standard deviation of s = 1.5 pounds. Using α = 0.05, do the sample results support the conclusion that mean annual consumption of chocolate is higher in Hershey than it is throughout the United States?

State the null and alternative hypotheses. (Enter != for ≠ as needed.)

H₀:_________________

H_a:__________________

Find the value of the test statistic. (Round your answer to three decimal places.)

_____________________.

Find the p-value. (Round your answer to four decimal places.)

p-value =____________________.

State your conclusion.(multiple choice)

A. Do not reject H₀. We cannot conclude that mean annual consumption of chocolate in Hershey is greater than mean annual consumption of chocolate throughout the United States.

B. Do not reject H₀. We can conclude that mean annual consumption of chocolate in Hershey is greater than mean annual consumption of chocolate throughout the United States.

C. Reject H₀. We cannot conclude that mean annual consumption of chocolate in Hershey is greater than mean annual consumption of chocolate throughout the United States.

D. Reject H₀. We can conclude that mean annual consumption of chocolate in Hershey is greater than mean annual consumption of chocolate throughout the United States.

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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