Hello, can you please help me solve these with solutions

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1. (10 points) What are the requirements to have standard normal distribution? 2. (10 points) Six Flags Magic Mountain has a height requirement of 60 inches in order to ride all rides. Given that the heights of Six Flags customers are normally distributed with a corre- sponding z-score of 1.16 for riders that can ride all rides, find the percentage of customers that can ride all rides at Six Flags. 3. (10 points) Identify the unbiased estimators by circling them. Attorney Mean Contractor Range Proportion Variances Median Judge Range Standard deviationMath 140 Page 2 of 4 4. (10 points) Based on a Pew Research Center poll 1007 randomly selected U.S. adults showed that 89% of the respondents know who the Los Angeles Lakers are. Find the 95% confidence interval estimate of the population proportion p. 5. (15 points) As part of a study of grade inflation, you want to estimate the mean grade point average of all current college students in the California. All grade point averages are to be stadardized for a scale between 0 and 4. How many grade point averages must be obtained so that the sample mean is within 0.2 of the population mean? Assume that a 95% confidence level is desired. Also assume that a pilot study showed that the population standard deviation is estimated to be 0.79.Math Practice Exam #3. 8. (20 points) Given 31 randomly selected Chips Ahoy cookies, the sample mean > = 19.6 is the number of chocolate chips found on average in each reduced-fat cookie. The sample standard deviation is 7.3 chocolate chips. Use a significance level of o = 0.05 to test the claim that Chips Ahoy reduced-fat cookies have less fat because they have a mean number of chocolate chips that is less than the mean of 24 for regular Chips Ahoy cookies. Assume that all conditions are met for testing a populations mean, and that Ho : /} = 24 and H1 : My