The scores of individual students on the American College Testing (ACT) Program Composite College Entrance Examination have a Normal distribution with a mean of μ = 18.6 and a standard deviation of σ = 6.0. At Northside High, 36 seniors take the test. Assume the scores at this school have the same distribution as the scores in the population.What is the standard deviation of the sampling distribution of the sample mean for a random sample of 36 students

On a nationwide test taken by high school students, the mean score was 49 and the standard deviation was 12. The scores were normally distributed. Complete the following statements.(a) Approximately 95% of the students scored between and .(b) Approximately of the students scored between 13 and 85.

Suppose the scores on an exam are normally distributed with a mean μ = 75 points, and standard deviation σ = 8 points.The instructor wanted to "pass" anyone who scored above 69. What proportion of exams will have passing scores? 0.1587 0.75 0.2266 0.7734 −0.75

A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study examined the scores of a random sample of 208 graduating seniors and found the mean score to be 525 with a standard deviation of 115. At the 95% confidence level, use the normal distribution/empirical rule to estimate the margin of error for the mean, rounding to the nearest tenth.

In a Statistics test, the average mark is 82 and the standard deviation is 5. All the students from 88 marks up to 94 marks will receive a B grade. If the marks have a normal distribution and 8 students receive B grade, determine the total number of students who sat for the test.

Scores on an examination are assumed to be normally distributed with mean µ = 78and variance σ2 = 36.(a) [1 mark] Find the probability that a person taking the examination scores higherthan 72