omen are recommended to consume 1810 calories per day. You suspect that the average calorie intake is smaller for women at your college. The data for the 14 women who participated in the study is shown below: 1899, 1642, 1719, 1669, 1685, 1528, 1650, 1725, 1825, 1754, 1497, 1571, 1875, 1619 Assuming that the distribution is normal, what can be concluded at the αα = 0.01 level of significance? For this study, we should use Correct The null and alternative hypotheses would be: H0:H0: Correct Correct H1:H1: Correct Correct The test statistic Correct = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population mean is not significantly less than 1810 at αα = 0.01, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is equal to 1810. The data suggest that the population mean calorie intake for women at your college is not significantly less than 1810 at αα = 0.01, so there is insufficient evidence to conclude that the population mean calorie intake for women at your college is less than 1810. The data suggest the populaton mean is significantly less than 1810 at αα = 0.01, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is less than 1810

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Women are recommended to consume 1810 calories per day. You suspect that the average calorie intake is smaller for women at your college. The data for the 14 women who participated in the study is shown below:

1899, 1642, 1719, 1669, 1685, 1528, 1650, 1725, 1825, 1754, 1497, 1571, 1875, 1619

Assuming that the distribution is normal, what can be concluded at the αα = 0.01 level of significance?

For this study, we should use Correct

The null and alternative hypotheses would be:

H0:H0: Correct Correct

H1:H1: Correct Correct

The test statistic Correct = (please show your answer to 3 decimal places.)

The p-value = (Please show your answer to 4 decimal places.)
The p-value is αα
Based on this, we should the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the population mean is not significantly less than 1810 at αα = 0.01, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is equal to 1810.
- The data suggest that the population mean calorie intake for women at your college is not significantly less than 1810 at αα = 0.01, so there is insufficient evidence to conclude that the population mean calorie intake for women at your college is less than 1810.
- The data suggest the populaton mean is significantly less than 1810 at αα = 0.01, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is less than 1810.

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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