A golf association requires that golf balls have a diameter that is 1.68 inches. To determine if golf balls conform to the standard, a random sample of golf balls was selected. Their diameters are shown in the accompanying data table. Do the golf balls conform to the standards? Use the a = 0.05 level of significance. Click the icon to view the data table. First determine the appropriate hypotheses. Ho: H 1.68 1.68 H1: (Type integers or decimals. Do not round.) Find the test statistic. (Round to two decimal places as needed.) Find the P-value. (Round to three decimal places as needed.) What can be concluded from the hypothesis test? O A. Do not reject Hn. There is not sufficient evidence to conclude that the golf balls do not conform to the association's standards at the a = 0.05 level of significance. O B. Do not reject Hn. There is sufficient evidence to conclude that the golf balls do not conform to the association's standards at the a = 0.05 level of significance. OC. Reject Ho. There is not sufficient evidence to conclude that the golf balls do not conform to the association's standards at the a = 0.05 level of significance. O D. Reject Hn. There is sufficient evidence to conclude that the golf balls do not conform to the association's standards at the a = 0.05 level of significance. 1: Data Table Golf Ball Diameter (inches) 1.682 1.677 1.681 1.686 1.677 1.686 1.684 1.684 1.673 1.685 1.682 1.675

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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How do I find the Standard Deviation and Sample Mean?

A golf association requires that golf balls have a diameter that is 1.68 inches. To determine if golf balls conform to the standard, a random sample of golf balls was selected. Their diameters are shown in the accompanying data table. Do the golf balls conform to the standards? Use the a = 0.05 level of significance.
Click the icon to view the data table.
First determine the appropriate hypotheses.
Ho: H
1.68
1.68
H1:
(Type integers or decimals. Do not round.)
Find the test statistic.
(Round to two decimal places as needed.)
Find the P-value.
(Round to three decimal places as needed.)
What can be concluded from the hypothesis test?
O A. Do not reject Hn. There is not sufficient evidence to conclude that the golf balls do not conform to the association's standards at the a = 0.05 level of significance.
O B. Do not reject Hn. There is sufficient evidence to conclude that the golf balls do not conform to the association's standards at the a = 0.05 level of significance.
OC. Reject Ho. There is not sufficient evidence to conclude that the golf balls do not conform to the association's standards at the a = 0.05 level of significance.
O D. Reject Hn. There is sufficient evidence to conclude that the golf balls do not conform to the association's standards at the a = 0.05 level of significance.
1: Data Table
Golf Ball Diameter (inches)
1.682
1.677
1.681
1.686
1.677
1.686
1.684
1.684
1.673
1.685
1.682
1.675

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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