Please answer: What is the alternative hypothesis of this test? Calculate the difference between the sample mean in the hypothesized mean.According to the P value, what is the mean difference statistically significant?Based on the results, can you reject the null hypothesis?Should you order maintenance repair? Case 1: Machine Maintenancet-Test: One-SampleMean (weight)VarianceA cereal company wants to make sure the machine used to fill boxes of cereal is working18.4properly. The machine is supposed to fill each box with 18 ounces of cereal. To test themachine's accuracy, you sampled the weight of 40 boxes of cereal. To determine if themachine needs maintenance, you conduct a one-sample t-test (see results in K2:M7). If theaverage weight statistically differs from 18 ounces, you will order a maintenance repair. Butbecause the repair can be costly and because there are potential punitive costs for notselling food products at the advertised weight, you want to0.9Observations40t-statistic2.67P(t=T) two-tail0.01195% confident in the results.Questions#3What is the sample size?According to the case, what should be the Hypothesized Mean (M)? Enter a numeric value.40218What is the null hypothesis (Ho) of this test?HO: µ = 18 (weight equal to 18)4What is the alternative hypothesis (H,) of this test?[select]5Calculate the difference between the Sample Mean and the Hypothesized Mean? (X - M)16What value is the Degrees of Freedom?39Given the desired confidence level, what alpha should be used?171819a = 0.05What is the p-value equal to for this this test?According to thep-value, is the mean difference statistically significant?Based on the results, can you reject the null hypothesis (Ho)?8p=0.0119.[select]2010[select]2111Should you order maintenance repair?[select]22

Test is that whether the the average weight statistically differs from 18 ounces.4) The alternative hypothesis is H1 : μ ≠ 18 (mean not equal to 18) 5) The difference between the sample mean and hypothesized mean is (18.4 - 18) = 0.4 9) Since p-value is less than 0.05 then the mean difference is statistically significant. So the answer is Yes. 10) The null hypothesis is rejected as the p-value is less than 0.05. So the answer is Yes. 11) Since the null hypothesis got rejected then we conclude that you should order maintenance repair. So the answer is Yes.

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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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Please answer: What is the alternative hypothesis of this test? Calculate the difference between the sample mean in the hypothesized mean. According to the P value, what is the mean difference statistically significant? Based on the results, can you reject the null hypothesis? Should you order maintenance repair?

Case 1: Machine Maintenance
t-Test: One-Sample
Mean (weight)
Variance
A cereal company wants to make sure the machine used to fill boxes of cereal is working
18.4
properly. The machine is supposed to fill each box with 18 ounces of cereal. To test the
machine's accuracy, you sampled the weight of 40 boxes of cereal. To determine if the
machine needs maintenance, you conduct a one-sample t-test (see results in K2:M7). If the
average weight statistically differs from 18 ounces, you will order a maintenance repair. But
because the repair can be costly and because there are potential punitive costs for not
selling food products at the advertised weight, you want to
0.9
Observations
40
t-statistic
2.67
P(t=T) two-tail
0.011
95% confident in the results.
Questions
#3
What is the sample size?
According to the case, what should be the Hypothesized Mean (M)? Enter a numeric value.
40
2
18
What is the null hypothesis (Ho) of this test?
HO: µ = 18 (weight equal to 18)
4
What is the alternative hypothesis (H,) of this test?
[select]
5
Calculate the difference between the Sample Mean and the Hypothesized Mean? (X - M)
16
What value is the Degrees of Freedom?
39
Given the desired confidence level, what alpha should be used?
17
18
19
a = 0.05
What is the p-value equal to for this this test?
According to thep-value, is the mean difference statistically significant?
Based on the results, can you reject the null hypothesis (Ho)?
8
p=0.011
9.
[select]
20
10
[select]
21
11
Should you order maintenance repair?
[select]
22

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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