2) MCQ exam Simulate an MCQ exam correction system with the following configuration: - Feeding rate is about 15 papers/minute (exponential distribution) -Time to process a paper is of mean 5 seconds (exponential distribution) - 75% of the papers are processed without problems. -20% are flagged for confusion about the answer of some questions, which requires to be corrected manually and takes time depends on the number of confused problems. Number of confused problems is at most 10 (from 1 to 10) with the following probability distribution [0.3 0.21 0.2 0.1 0.05 0.04 0.04 0.03 0.02 0.01], and correction time for one problem is of mean time 1 minute (exponential distribution) - 5% are flagged for no ID written on the answer sheet, where they are checked manually for ID-where hand-written ID is provided (takes about 0.5 minute(exponential)) and returned to be processed again. Required: - Mean delay time of the papers with confusion. - Mean delay time of the whole system. [Assume any missing information and choose appropriate distributions if required]

How to test the hypothesis of significant seasonality in the data?

Multiple myeloma, or blood plasma cancer is characterized by increased blood vessel formulation (angiogenesis) in the bone marrow that is a predictive factor in survival.  One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells. The data in the table below represent the bone marrow micro-vessel density for patients who had a complete response to the stem cell transplant and at the time the complete response was determined.  Patient Before After      1   158    284      2   189    214      3   202    101      4    353    227      5    416    290      6    426    176      7    441    290 Please show work done by hand and/or using Excel formulas, graphing calculator unavailable.  At the 0.05 level of significance, is there evidence that the mean bone marrow micro-vessel density is  higher before the stem cell transplant than after the stem cell transplant?

The students in the HS3333 course recently took an exam and these were the scores:   76, 88, 67, 80, 44, 65, 50, 98, 55, 45, 23, 44, 65, 78, 66, 56, 89, 76,87,29     What score is the 75% percentile? (Show work.) What score is the 90% percentile? (Show work.) A score of 55 is what percentile? (Show work.)

Data can be approximated quite well by a N(3.4, 3.1) model. Economists become alarmed when productivity decreases. According to the normal model what is the probability that the percent change in worker output per hour from the previous quarter is more than 1.6 standard deviations below the mean? What is the probability that the percent change in worker output from the previous quarter is between -1.56 and 4.33?

Growth of bacteria culture after one week, represented by its size, is known to follow lognormal distribution with mean of 2 and variance of 0.2. What is the upper and lower quartile of the size of the culture after one week?

How to construct the Cumulative Frequency Distributions? Explain with the example.

Glaucoma is a leading cause of blindness in the United States, N. Ehlers measured the difference in corneal thickness (in microns) between the two eyes of eight patients. Each patient had one eye that had glaucoma and one eye that was normal. The difference was measured as the corneal thickness of normal eye – corneal thickness of eye with Glaucoma. Corneal thickness is important because it can mask an accurate reading of eye pressure.  Question: If a participant has the same corneal thickness in their normal eye as the eye with Glaucoma, what would be the value for difference: measured as the corneal thickness of normal eye – corneal thickness of eye with Glaucoma.

True or False: Given a data set with 9 yearly observations, there are eight 3-year moving averages. O True O False

Glaucoma is a leading cause of blindness in the United States, N. Ehlers measured the difference in corneal thickness (in microns) between the two eyes of eight patients. Each patient had one eye that had glaucoma and one eye that was normal. The difference was measured as the corneal thickness of normal eye – corneal thickness of eye with Glaucoma. Corneal thickness is important because it can mask an accurate reading of eye pressure. Question:If the t statistic falls below the effect size in which we reject the null, but the p value is greater than 0.05. Do i reject the null? As my scenario had no population mean because the differences were recorded, do i set a test value of 10 or keep it at 0?