Case 1: Machine Maintenance A cereal company wants to make sure the machine used to fill boxes of cereal is working t-Test: One-Sample properly. The machine is supposed to fill each box with 18 ounces of cereal. To test the nachine's accuracy, you sampled the weight of 40 boxes of cereal. To determine if the nachine needs maintenance, you conduct a one-sample t-test (see results in K2:M7). If the werage wei ght 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 ood products at the advertised weight, you want to be 95% confident in the results. Mean (weight) 18.4 Variance 0.9 Observations 40 t-stati stic 2.67 P(t= T) two-tail 0.011 23 Questions 1 What is the sample size? According to the case, what should be the Hypothesized Mean (M)? Enter a numeric value. 2 3 What is the null hypothesis (Ho) of this test? [select)

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Case 1: Machine Maintenance
A cereal company wants to make sure the machine used to fill boxes of cereal is working
t-Test: One-Sample
Mean (weight)
properly. The machine is supposed to fill each box with 18 ounces of cereal. To test the
18.4
machine's accuracy, you sampled the wei ght of 40 boxes of cereal. To determine if the
Variance
0.9
machine needs maintenance, you conduct a one-sample t-test (see results in K2:M7). If the
Observations
40
average weight stati stically differs from 18 ounces, you will order a maintenance repair. But
t-statistic
2.67
because the repair can be costly and because there are potential punitive costs for not selling
P(t = T) two-tail
0.011
food products at the advertised weight, you want to be 95% confident in the results.
Questions
What is the sample size?
2
According to the case, what should be the Hypothesized Mean (M)? Enter a numeric value.
3
What is the null hypothesis (Ho) of this test?
[select]
4
What is the alternative hypothesis (H1) of this test?
[select]
5
Calculate the difference between the Sample Mean and the Hypothesized Mean? (X - M)
What value is the Degrees of Freedom?
[select)
[select)
[select]
7
Given the desired confidence level, what al pha should be used?
8
what is the p-value equal to for this this test?
9
According to the p-value, is the mean difference statistically significant?
[select]
10
Based on the results, can you reject the null hypothesis (Ho)?
[select)
11
Should you order maintenance repair?
[select]
Transcribed Image Text:Case 1: Machine Maintenance A cereal company wants to make sure the machine used to fill boxes of cereal is working t-Test: One-Sample Mean (weight) properly. The machine is supposed to fill each box with 18 ounces of cereal. To test the 18.4 machine's accuracy, you sampled the wei ght of 40 boxes of cereal. To determine if the Variance 0.9 machine needs maintenance, you conduct a one-sample t-test (see results in K2:M7). If the Observations 40 average weight stati stically differs from 18 ounces, you will order a maintenance repair. But t-statistic 2.67 because the repair can be costly and because there are potential punitive costs for not selling P(t = T) two-tail 0.011 food products at the advertised weight, you want to be 95% confident in the results. Questions What is the sample size? 2 According to the case, what should be the Hypothesized Mean (M)? Enter a numeric value. 3 What is the null hypothesis (Ho) of this test? [select] 4 What is the alternative hypothesis (H1) of this test? [select] 5 Calculate the difference between the Sample Mean and the Hypothesized Mean? (X - M) What value is the Degrees of Freedom? [select) [select) [select] 7 Given the desired confidence level, what al pha should be used? 8 what is the p-value equal to for this this test? 9 According to the p-value, is the mean difference statistically significant? [select] 10 Based on the results, can you reject the null hypothesis (Ho)? [select) 11 Should you order maintenance repair? [select]
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