An online magazine article reported that US adults spend an average of $50 on birthday gifts for their partners. A local sociologist believes that number is too high for adults in her city of Dover, DE. She surveyed a random sample of 35 residents of Dover, DE and found a sample mean of $43.23 spent on birthday gifts for their partners. A one sample t test produced a p-value of 0.026. Which of the following is a correct interpretation of the p-value? a. The probability is 0.026 that the mean amount of money all residents of Dover spend on birthday gifts for their partner is less than $43.23. b. The probability is 0.026 that the mean amount of money all residents of Dover spend on birthday gifts for their partner is less than $50. c. The probability is 0.026 that the mean amount of money all residents of Dover spend on birthday gifts for their partner is more than $43.23. d. If the mean amount of money all residents of Dover spend on birthday gifts for their partner is $50, the probability is 0.026 that a randomly selected group of 35 residents of Dover would spend a mean amount of $43.23 or less on birthday gifts for their partner. e. If the mean amount of money all residents of Dover spend on birthday gifts for their partner is less than $50, the probability is 0.026 that a randomly selected group of 35 residents of Dover would spend a mean amount of $43.23 or less on birthday gifts for their partner.

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Description: An online magazine article reported that US adults spend an average of $50 on birthday gifts for their partners. A local sociologist believes that number is too high for adults in her city of Dover, DE. She surveyed a random sample of 35 residents of

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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An online magazine article reported that US adults spend an average of $50 on birthday gifts for their partners. A local sociologist believes that number is too high for adults in her city of Dover, DE. She surveyed a random sample of 35 residents of Dover, DE and found a sample mean of $43.23 spent on birthday gifts for their partners. A one sample t test produced a p-value of 0.026.

Which of the following is a correct interpretation of the p-value?

a. The probability is 0.026 that the mean amount of money all residents of Dover spend on birthday gifts for their partner is less than $43.23.
b. The probability is 0.026 that the mean amount of money all residents of Dover spend on birthday gifts for their partner is less than $50.
c. The probability is 0.026 that the mean amount of money all residents of Dover spend on birthday gifts for their partner is more than $43.23.
d. If the mean amount of money all residents of Dover spend on birthday gifts for their partner is $50, the probability is 0.026 that a randomly selected group of 35 residents of Dover would spend a mean amount of $43.23 or less on birthday gifts for their partner.
e. If the mean amount of money all residents of Dover spend on birthday gifts for their partner is less than $50, the probability is 0.026 that a randomly selected group of 35 residents of Dover would spend a mean amount of $43.23 or less on birthday gifts for their partner.

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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