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- The normal distribution is a family of distributions that is often used to model operational processes. Give one example of how the normal distribution can be used in an operations or production environment. Be sure to explain how the normal distribution is used in the example provided.Age - X Number of meal in a day - Y Frequency of snack in a day - Z. Can we conclude that X, Y and Z follow a normal distribution? Why?the average IQ of an adult is 100 A research phychologist devised a course to improve IQ's a group of 10 ramdomly cholsen adults took the course and at the end of the course their IQ's were measured. The average IQ score for the class was ramdom sample=110.9. Let x be a ramdom variable that represents the IQ score of an adult who takes the course you may assume that x has a normal distribution with standard deviation=15 does the above sample result provide convincing evidence that adults who take the course have a mean IQ score greater than 100? use level 1% level of significance.
- Please don't copy Prove that the normal distribution is symmetric about mean with details explanation pleaseDescribe the standard error of the point estimate S, and what it means? (for standard variation of your population)Which is a correct description of the normal distribution? mean> median < mode mean = median mode mean < median < mode mean < median mode SAMSUNG A
- To calculate normal distributions values must be?he sampling distribution of differences between means approximates a normal cure whose is zero. mode median mean standard deviationEstimating Mean SAT Math Score The SAT is the most widely used college admission exam. (Most community colleges do not require students to take this exam.) The mean SAT math score varies by state and by year, so the value of u depends on the state and the year. But let's assume that the shape and spread of the distribution of individual SAT math scores in each state is the same each year. More specifically, assume that individual SAT math scores consistently have a normal distribution with a standard deviation of 94. An educational researcher wants to estimate the mean SAT math score (u) for his state this year. The researcher chooses a random sample of 681 exams in his state. The sample mean for the test is 486. Find the 99% confidence interval to estimate the mean SAT math score in this state for this year. Use the unrounded values in Excel to find the answers to #2, #3 and # 4. 1. The z-value is -- ✔ 2. The standard error has a value of -- 3. The margin of error has a value of - 4.…