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 greater than $820 at 0.02 level of significance? 1m) What is the desired Type-I error for this Hypothesis Test?

2k) Conduct the hypothesis test at a 0.04 level of significance using critical-value approach (specify the logic). [1 point] What is the decision on the Hypothesis test? [1 point]   Note: You become eligible to earn these points ONLY if you answer all the questions asked.

The liquid limit water content which divides a high plasticity clay (CH) from a low plasticity clay in the Unified Soil Classification System (USCS) is:     

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 greater than $820 at 0.02 level of significance? 1b) What is the appropriate Alternative Hypothesis (Ha) for this problem?

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 greater than $820 at 0.02 level of significance? 1a) What is the appropriate Null Hypothesis (H0) for this problem?

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 greater than $820 at 0.02 level of significance? 1p) What is the p-value (rounded to four digits after the decimal) in this Hypothesis Test? 

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 greater than $820 at 0.02 level of significance? 1f) Based on the problem description, What is the sample size = ________________.

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 greater than $820 at 0.02 level of significance? 1g) Based on the problem description, the problem is a ________________.

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 greater than $820 at 0.02 level of significance? 1l) What kind of Hypothesis Test is this one?

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 greater than $820 at 0.02 level of significance? 1d) Based on the given problem description, it is safe to assume that the shape of the population distribution is ________________.