use significance level of 0.05 the Trex leg bones are measured in inches. Use the minitab output below The researcher correctly decides to fail to reject the null hypothesis which statement below interprets that decision? A. the population mean is proven to be 175.5? B. The population mean is proven to be different than 175.5? C. The evidence suggests that the population mean is 176.470. D. There is not sufficient evidence to suggest that population mean is different than 175.5? Part B which of the following statement describes the type of error that may have occurred in a hypothesis test outlined above when the researcher makes the correct decision to fail to reject the no hypothesis? A. Reject the nall hypothesis when the nall hyposesis was true B. reject the null hypothesis when the null hypothesis was false. C fail to reject the null hypothesis when the null hypothesis was true. D. fail to reject the null hypothesis when the null hypothesis was false. See which statement correctly interprets the 95% confidence interval above that was calculated using the sample of adult male Heights a. the researcher Is 95% confident that the interval from 174.546 to 178.394 inches contains the sample mean B. The researcher is 95% confident that the interval from 174.546 to 178.394 inches contain the population mean? C. N 95% of the samples the population mean is between 174.546 and 178.394 inches? D. The researcher provided the population mean is between 174.546 and 178.394 inches?

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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use significance level of 0.05 the Trex leg bones are measured in inches. Use the minitab output below

The researcher correctly decides to fail to reject the null hypothesis which statement below interprets that decision?

A. the population mean is proven to be 175.5?

B. The population mean is proven to be different than 175.5?

C. The evidence suggests that the population mean is 176.470.

D. There is not sufficient evidence to suggest that population mean is different than 175.5?

Part B which of the following statement describes the type of error that may have occurred in a hypothesis test outlined above when the researcher makes the correct decision to fail to reject the no hypothesis?

A. Reject the nall hypothesis when the nall hyposesis was true

B. reject the null hypothesis when the null hypothesis was false.

C fail to reject the null hypothesis when the null hypothesis was true.

D. fail to reject the null hypothesis when the null hypothesis was false.

See which statement correctly interprets the 95% confidence interval above that was calculated using the sample of adult male Heights

a. the researcher Is 95% confident that the interval from 174.546 to 178.394 inches contains the sample mean

B. The researcher is 95% confident that the interval from 174.546 to 178.394 inches contain the population mean?

C. N 95% of the samples the population mean is between 174.546 and 178.394 inches?

D. The researcher provided the population mean is between 174.546 and 178.394 inches?

For questions 19 through 21, use a 0.05 significance level and the Minitab
output below which represents a hypothesis test performed by a researcher
using a randomly selected sample of T-Rex leg bones. The T-Rex leg bones
are measured in inches.
Test
Descriptive Statistics
Null hypothesis
Alternative hypothesis H: u 175.5
He: u = 175.5
%3D
N Mean StDev SE Mean 95% CI for u
40 176.470 6.016 0.951 (174.546, 178.394)
T-Value P-Value
i population mean of Sample
1.02
0.314

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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