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Airline companies are interested in the consistency of the number of babies on each flight, so that they have adequate safety equipment. They are also interested in the variation of the number of Babies. Suppose that an airline executive believes the standard deviation in the number of babies is 6 at the most. The airline conducts a survey. The results of the 23 flights surveyed give a samle mean of 8 with a sample standard deviation of 9. Test the executive's belief to see if it is accurate, or if it is actually greater at the a = 0.05 level. Ho:o? = Ha:o (Select an answer df = P-value = The p-value is... Ogreater than a less than (or equal to) a This test statistic leads to a decision to... O reject the null fail to reject the null |accept the alternative accept the null As such, the final conclusion is that there Select an answer sufficient evidence to conclude the standard deviation of the number of babies on airplanes is Select an answer than

Airline companies are interested in the consistency of the number of babies on each flight, so that they have adequate safety equipment. They are also interested in the variation of the number of Babies. Suppose that an airline executive believes the standard deviation in the number of babies is 6 at the most. The airline conducts a survey. The results of the 23 flights surveyed give a samle mean of 8 with a sample standard deviation of 9. Test the executive's belief to see if it is accurate, or if it is actually greater at the a = 0.05 level. Ho:o? = Ha:o (Select an answer df = P-value = The p-value is... Ogreater than a less than (or equal to) a This test statistic leads to a decision to... O reject the null fail to reject the null |accept the alternative accept the null As such, the final conclusion is that there Select an answer sufficient evidence to conclude the standard deviation of the number of babies on airplanes is Select an answer than

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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## Hypothesis Testing for Standard Deviation in the Number of Babies on Flights Airline companies are interested in ensuring the consistency of the number of babies on each flight to have adequate safety equipment. They are particularly focused on the variation in the number of babies. Suppose an airline executive believes that the standard deviation in the number of babies is at most 6. The airline then conducts a survey, where the results of 23 flights surveyed give a sample mean of 8 with a sample standard deviation of 9. We need to test the executive’s belief to determine if it is accurate or if the standard deviation is actually greater at the α = 0.05 level. ### Hypotheses \[ H_0: \sigma^2 = \] \[ H_a: \sigma^2 \] ### Degrees of Freedom (df) \[ df = \] ### Chi-Square Test Statistic \[ \chi^2 = \] ### P-value \[ P-value = \] ### Interpretation The p-value is... - [ ] greater than α - [ ] less than (or equal to) α This test statistic leads to a decision to… - [ ] reject the null - [ ] fail to reject the null - [ ] accept the alternative - [ ] accept the null ### Conclusion As such, the final conclusion is that there is \[ \quad \] sufficient evidence to conclude the standard deviation of the number of babies on airplanes is \[ \quad \] than \( ? \). ### Exercises Fill in the following fields based on the data provided: - \( H_0: \sigma^2 \) - \( H_a: \sigma^2 \) - \( df \) - \( \chi^2 \) - \( P-value \) Next, state whether the p-value is greater than or less than (or equal to) α. Based on your interpretation, make a decision regarding the null hypothesis and conclude whether there is sufficient evidence that the standard deviation of the number of babies on airplanes is higher or lower than the given belief. This rigorous statistical analysis will aid in improving airline safety measures effectively.
Transcribed Image Text:## Hypothesis Testing for Standard Deviation in the Number of Babies on Flights Airline companies are interested in ensuring the consistency of the number of babies on each flight to have adequate safety equipment. They are particularly focused on the variation in the number of babies. Suppose an airline executive believes that the standard deviation in the number of babies is at most 6. The airline then conducts a survey, where the results of 23 flights surveyed give a sample mean of 8 with a sample standard deviation of 9. We need to test the executive’s belief to determine if it is accurate or if the standard deviation is actually greater at the α = 0.05 level. ### Hypotheses \[ H_0: \sigma^2 = \] \[ H_a: \sigma^2 \] ### Degrees of Freedom (df) \[ df = \] ### Chi-Square Test Statistic \[ \chi^2 = \] ### P-value \[ P-value = \] ### Interpretation The p-value is... - [ ] greater than α - [ ] less than (or equal to) α This test statistic leads to a decision to… - [ ] reject the null - [ ] fail to reject the null - [ ] accept the alternative - [ ] accept the null ### Conclusion As such, the final conclusion is that there is \[ \quad \] sufficient evidence to conclude the standard deviation of the number of babies on airplanes is \[ \quad \] than \( ? \). ### Exercises Fill in the following fields based on the data provided: - \( H_0: \sigma^2 \) - \( H_a: \sigma^2 \) - \( df \) - \( \chi^2 \) - \( P-value \) Next, state whether the p-value is greater than or less than (or equal to) α. Based on your interpretation, make a decision regarding the null hypothesis and conclude whether there is sufficient evidence that the standard deviation of the number of babies on airplanes is higher or lower than the given belief. This rigorous statistical analysis will aid in improving airline safety measures effectively.
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