BEFPULSEMIN 70 75 80 82 65 75 74 73 65 67 80 72 69 81 82 83 68 73 74 76 81 64 85 65 66 62 81 82 74 71 72 76 79 80 84 85 73 68 68 67 68 75 77 72 76 78 82 67 80 76 74 77 73 74 72 76 74 81 75 70 Excel file STATISTICSSTUDENTSSURVEYFORR contains the column BEFPULSEMIN (a numerical variable that measures student pulses before completing an online survey). For education purposes, consider this dataset to be a sample of size 60 taken from a much larger normal population for statistics students. You wish to determine whether the average beats per minute for the population differs from 75 beats per minute. Use R to create a 90% confidence interval to help you choose the correct statement below. a. The sample mean is 75 beats per minute, and the test is not significant at the 10% significance level because 75 beats per minute is inside the confidence interval you created. b. The sample mean is 74.4 beats per minute, and the test is significant at the 10% significance level because 75 beats per minute is inside the confidence interval you created. c. The sample mean is 74.4 beats per minute, and the test is significant at the 10% significance level because 74.4 beats per minute is inside the confidence interval you created. d. The sample mean is 74.4 beats per minute, and the test is not significant at the 10% significance level because 75 beats per minute is inside the confidence interval you created.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Excel file STATISTICSSTUDENTSSURVEYFORR contains the column BEFPULSEMIN (a numerical variable that measures student pulses before completing an online survey). For education purposes, consider this dataset to be a sample of size 60 taken from a much larger normal population for statistics students. You wish to determine whether the average beats per minute for the population differs from 75 beats per minute. Use R to create a 90% confidence interval to help you choose the correct statement below.

The sample mean is 75 beats per minute, and the test is not significant at the 10% significance level because 75 beats per minute is inside the confidence interval you created.

The sample mean is 74.4 beats per minute, and the test is significant at the 10% significance level because 75 beats per minute is inside the confidence interval you created.

The sample mean is 74.4 beats per minute, and the test is significant at the 10% significance level because 74.4 beats per minute is inside the confidence interval you created.

The sample mean is 74.4 beats per minute, and the test is not significant at the 10% significance level because 75 beats per minute is inside the confidence interval you created.

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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