Guidelines for the Jolly Blue Giant Health Insurance Company say that the average hospitalization for a triple hernia operation should not exceed 36 hours. A diligent auditor studied records of 16 randomly chosen triple hernia operations at Hackmore Hospital and found a mean hospital stay of 40 hours with a standard deviation of 20 hours. "Aha!" she cried, "the average stay exceeds the guideline.". Using the .025 level of significance, conduct a Hypothesis test. State the Null and Alternate Hypothesis. Which test statistic does the data call for (which distribution)? Explain why you chose that distribution. State the decision rule and Critical Value. Compute the Test Statistic and p value. What is your decision concerning null hypothesis? Re-compute the test statistic and p-value if “n” is increased to 121 using the same mean and standard deviation. What is your decision then? What is the minimum sample size if the allowable error, E, is 2 at .025 level of significance. Professor Li is running for dog catcher. To win, she’ll need at least 51% of the vote, or there will need to be a run-off. Her campaign manager did a survey and found that 210 of the 400 voters said they’d vote for her. While she is the underdog, she is sure she will win. Devise a hypothesis test where α = .05 State the Null and Alternate Hypothesis. Which test statistic does the data call for (which distribution)? Explain why you chose that distribution. State Decision Rule and Critical Value. Compute the Test Statistic and p value. What is your decision concerning Null? A bank manager must decide whether or not to hire additional tellers. Her decision will depend partly upon how long it takes to complete customer transactions. The null hypothesis is that the mean transaction completion time, m, is at most 40 seconds. The population standard deviation is assumed to be 10 seconds. If the null is rejected, new tellers will be hired. A sample of 50 transactions was obtained with a mean of 44.5 seconds. The significance level is .05. State the Null and Alternate Hypothesis. Which test statistic does the data call for? Explain why. State Decision Rule and Critical Value. Compute the test statistic and p-value. What is your decision concerning Null? What affect would a type I (α) error have on the bank and/or customers? What affect would a type II (β) error have on the bank and/or customers? Economist A.W. Phillips was one of the first economists to present compelling evidence of the correlation between unemployment and wage inflation. Since wages and salaries are a major input cost for companies, rising wages should lead to higher prices for products and services in an economy, ultimately pushing the overall inflation rate higher. As a result, Phillips graphed the relationship between general price inflation and unemployment, rather than wage inflation. Data on unemployment (independent) and inflation (dependent) from the Federal Reserve is on the Excel workbook. Find the equation for the regression line for this data. Find the correlation coefficient and R2. Using the data, is the correlation statistically significant at the 1% level? Major League Baseball (MLB) consists of 30 The earned run average, ERA, is a statistic used to measure a pitcher's (the person who throws the ball to the person trying to hit the ball) effectiveness. The lower the ERA, the more effective the pitcher is. Statisticians are trying to show there is a correlation between the team’s ERA and the number of wins. The data on the spreadsheet is from all the teams in the 2021 regular season. Find the equation for the regression line for this data. Find the correlation coefficient and R2. State the Null and Alternate Hypothesis. State Decision Rule and Critical Value at the 5% significance level (think about whether this should be a one or two tailed test and which test statistic needs to be calculated). Compute the test statistic and p-value. What is your decision concerning Null? What does that mean? If the ERA were 4.5, what is the predicted number of wins (ŷ) using the regression line?

We have to do first question according to Bartleby guildlines We have given that Sample size =16…

Answered: hours. "Aha!" she cried, "the average…

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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Guidelines for the Jolly Blue Giant Health Insurance Company say that the average hospitalization for a triple hernia operation should not exceed 36 hours. A diligent auditor studied records of 16 randomly chosen triple hernia operations at Hackmore Hospital and found a mean hospital stay of 40 hours with a standard deviation of 20 hours. "Aha!" she cried, "the average stay exceeds the guideline.". Using the .025 level of significance, conduct a Hypothesis test.
1. State the Null and Alternate Hypothesis.
2. Which test statistic does the data call for (which distribution)? Explain why you chose that distribution.
3. State the decision rule and Critical Value.
4. Compute the Test Statistic and p value.
5. What is your decision concerning null hypothesis?
6. Re-compute the test statistic and p-value if “n” is increased to 121 using the same mean and standard deviation.
7. What is your decision then?
8. What is the minimum sample size if the allowable error, E, is 2 at .025 level of significance.

Professor Li is running for dog catcher. To win, she’ll need at least 51% of the vote, or there will need to be a run-off. Her campaign manager did a survey and found that 210 of the 400 voters said they’d vote for her. While she is the underdog, she is sure she will win. Devise a hypothesis test where α = .05
1. State the Null and Alternate Hypothesis.
2. Which test statistic does the data call for (which distribution)? Explain why you chose that distribution.
3. State Decision Rule and Critical Value.
4. Compute the Test Statistic and p value.
5. What is your decision concerning Null?

A bank manager must decide whether or not to hire additional tellers. Her decision will depend partly upon how long it takes to complete customer transactions. The null hypothesis is that the mean transaction completion time, m, is at most 40 seconds. The population standard deviation is assumed to be 10 seconds. If the null is rejected, new tellers will be hired. A sample of 50 transactions was obtained with a mean of 44.5 seconds. The significance level is .05.
1. State the Null and Alternate Hypothesis.
2. Which test statistic does the data call for? Explain why.
3. State Decision Rule and Critical Value.
4. Compute the test statistic and p-value.
5. What is your decision concerning Null?
6. What affect would a type I (α) error have on the bank and/or customers?
7. What affect would a type II (β) error have on the bank and/or customers?

Economist A.W. Phillips was one of the first economists to present compelling evidence of the correlation between unemployment and wage inflation. Since wages and salaries are a major input cost for companies, rising wages should lead to higher prices for products and services in an economy, ultimately pushing the overall inflation rate higher. As a result, Phillips graphed the relationship between general price inflation and unemployment, rather than wage inflation. Data on unemployment (independent) and inflation (dependent) from the Federal Reserve is on the Excel workbook.
1. Find the equation for the regression line for this data.
2. Find the correlation coefficient and R².
3. Using the data, is the correlation statistically significant at the 1% level?

Major League Baseball (MLB) consists of 30 The earned run average, ERA, is a statistic used to measure a pitcher's (the person who throws the ball to the person trying to hit the ball) effectiveness. The lower the ERA, the more effective the pitcher is. Statisticians are trying to show there is a correlation between the team’s ERA and the number of wins. The data on the spreadsheet is from all the teams in the 2021 regular season.
1. Find the equation for the regression line for this data.
2. Find the correlation coefficient and R².
3. State the Null and Alternate Hypothesis.
4. State Decision Rule and Critical Value at the 5% significance level (think about whether this should be a one or two tailed test and which test statistic needs to be calculated).
5. Compute the test statistic and p-value.
6. What is your decision concerning Null? What does that mean?
7. If the ERA were 4.5, what is the predicted number of wins (ŷ) using the regression line?

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