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A study was conducted to understand how American college stu…

A study was conducted to understand how American college students manage their finances. Each person in a representative sample of 600 college students was asked if they had one or more credit cards. If so, whether they paid their balance in full each month. There were 400 who did not pay balance in full each month. For this sample of 400 students, the sample mean credit card balance was reported to be $850. For purposes of this exercise, assume population standard deviation is $250. Is there convincing evidence that college students who do not pay their credit card balance in full each month have a mean balance that is different than $820 at 0.02 level of significance? 3i) Given the problem description and based on the statistical theory and the Hypothesis statements, the “Expected value (Mu)” of the “sampling distribution of Xbar” is ________________.

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A study was conducted to understand how American college stu…

A study was conducted to understand how American college students manage their finances. Each person in a representative sample of 600 college students was asked if they had one or more credit cards. If so, whether they paid their balance in full each month. There were 400 who did not pay balance in full each month. For this sample of 400 students, the sample mean credit card balance was reported to be $850. For purposes of this exercise, assume population standard deviation is $250. Is there convincing evidence that college students who do not pay their credit card balance in full each month have a mean balance that is different than $820 at 0.02 level of significance? 3a) What is the appropriate Null Hypothesis (H0) for this problem?

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A study was conducted to understand how American college stu…

A study was conducted to understand how American college students manage their finances. Each person in a representative sample of 600 college students was asked if they had one or more credit cards. If so, whether they paid their balance in full each month. There were 400 who did not pay balance in full each month. For this sample of 400 students, the sample mean credit card balance was reported to be $850. For purposes of this exercise, assume population standard deviation is $250. Is there convincing evidence that college students who do not pay their credit card balance in full each month have a mean balance that is different than $820 at 0.02 level of significance? 3t) What is your Hypothesis Test Decision under the Critical-value approach and why?  

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A study was conducted to understand how American college stu…

A study was conducted to understand how American college students manage their finances. Each person in a representative sample of 600 college students was asked if they had one or more credit cards. If so, whether they paid their balance in full each month. There were 400 who did not pay balance in full each month. For this sample of 400 students, the sample mean credit card balance was reported to be $850. For purposes of this exercise, assume population standard deviation is $250. Is there convincing evidence that college students who do not pay their credit card balance in full each month have a mean balance that is different than $820 at 0.02 level of significance? 3d) Based on the given problem description, it is safe to assume that the shape of the population distribution is ________________.

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A study was conducted to understand how American college stu…

A study was conducted to understand how American college students manage their finances. Each person in a representative sample of 600 college students was asked if they had one or more credit cards. If so, whether they paid their balance in full each month. There were 400 who did not pay balance in full each month. For this sample of 400 students, the sample mean credit card balance was reported to be $850. For purposes of this exercise, assume population standard deviation is $250. Is there convincing evidence that college students who do not pay their credit card balance in full each month have a mean balance that is different than $820 at 0.02 level of significance? 3p) What is the p-value (rounded to four digits after the decimal) in this Hypothesis Test? 

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A study was conducted to understand how American college stu…

A study was conducted to understand how American college students manage their finances. Each person in a representative sample of 600 college students was asked if they had one or more credit cards. If so, whether they paid their balance in full each month. There were 400 who did not pay balance in full each month. For this sample of 400 students, the sample mean credit card balance was reported to be $850. For purposes of this exercise, assume population standard deviation is $250. Is there convincing evidence that college students who do not pay their credit card balance in full each month have a mean balance that is different than $820 at 0.02 level of significance? 3y) What is your conclusion based on the decisions under p-value, Critical-value, and Confidence Intervals approaches for this Hypothesis Test? Choose the best option among the following.

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A study was conducted to understand how American college stu…

A study was conducted to understand how American college students manage their finances. Each person in a representative sample of 600 college students was asked if they had one or more credit cards. If so, whether they paid their balance in full each month. There were 400 who did not pay balance in full each month. For this sample of 400 students, the sample mean credit card balance was reported to be $850. For purposes of this exercise, assume population standard deviation is $250. Is there convincing evidence that college students who do not pay their credit card balance in full each month have a mean balance that is different than $820 at 0.02 level of significance? 3e) Based on the problem description, this hypothesis testing problem is a ________________.

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A study was conducted to understand how American college stu…

A study was conducted to understand how American college students manage their finances. Each person in a representative sample of 600 college students was asked if they had one or more credit cards. If so, whether they paid their balance in full each month. There were 400 who did not pay balance in full each month. For this sample of 400 students, the sample mean credit card balance was reported to be $850. For purposes of this exercise, assume population standard deviation is $250. Is there convincing evidence that college students who do not pay their credit card balance in full each month have a mean balance that is different than $820 at 0.02 level of significance? 3h) Given the problem description and based on statistical theory, the “sampling distribution of Xbar” will approximate to a ________________.

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A study was conducted to understand how American college stu…

A study was conducted to understand how American college students manage their finances. Each person in a representative sample of 600 college students was asked if they had one or more credit cards. If so, whether they paid their balance in full each month. There were 400 who did not pay balance in full each month. For this sample of 400 students, the sample mean credit card balance was reported to be $850. For purposes of this exercise, assume population standard deviation is $250. Is there convincing evidence that college students who do not pay their credit card balance in full each month have a mean balance that is different than $820 at 0.02 level of significance? 3b) What is the appropriate Alternative Hypothesis (Ha) for this problem?

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A study was conducted to understand how American college stu…

A study was conducted to understand how American college students manage their finances. Each person in a representative sample of 600 college students was asked if they had one or more credit cards. If so, whether they paid their balance in full each month. There were 400 who did not pay balance in full each month. For this sample of 400 students, the sample mean credit card balance was reported to be $850. For purposes of this exercise, assume population standard deviation is $250. Is there convincing evidence that college students who do not pay their credit card balance in full each month have a mean balance that is different than $820 at 0.02 level of significance? 3c) What does the parameter “Mu” stands for in this Hypothesis Testing problem?

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