The average math SAT score is 517517 with a standard deviation of 112112. A particular high school claims that its students have unusually high math SAT scores. A random sample of 5050 students from this school was​ selected, and the mean math SAT score was 546546. Is the high school justified in its​ claim? Explain.

A professor wishes to determine if his grading is consistent, so he reviews the grades of a sample of students and determines that 7% earned an A. In each of his current classes with 25 enrolled, between what two class percentages of students earning A's should he to occur 90% of the time?

And how would this be put into Excel?

A professor wishes to determine if his grading is consistent, so he reviews the grades of a sample of students and determines that 7% earned an A. In each of his current classes with 25 enrolled, between what two class percentages of students earning A's should he to occur 90% of the time?

And how would this be put into Excel?

A random sample of 150 WCC students found that 68 of them were Latino/a.

a) At the 5% level of significance can we prove that over 40% of all WCC students are Latino/a? State and test appropriate hypotheses. State conclusions.

b) Find the p-value of the test in (a).

c) If an error was made in (a), what type was it?

Use the given degree of confidence and sample data to construct a confidence interval for the population mean

mu

.

Assume that the population has a normal distribution.

Thirty randomly selected students took the calculus final. If the sample mean was 95 and the standard deviation was​ 6.6, construct a​ 99% confidence interval for the mean score of all students.

When 328 college students are randomly selected and surveyed, it is found that 122 own a car. Find a 99% confidence interval for the true proportion of all college students who own a car.

The mean GPA of all college students is 2.95 with a standard deviation of 1.25.

What is the probability that a single MUW student has a GPA greater than​ 3.0? (Round to four decimal​ places)

What is the probability that 50 MUW students have a mean GPA greater than​ 3.0? (Round to four decial​ palces)

The IQ scores for a small group of stats students are: 90, 91, 89.25, 87.5, 89, 90, 86, 92.8, 95, 88.3. Using the .01 significance level, how can I test the claim that stat students in general have IQ scores with a standard deviation that is 3  using the p- value method?

The IELTS scores for International students were analyzed and stored in a file. Assuming that the scores are normally distributed and knowing that 15% of the mean scores were below 45 and 20% of the mean scores were above 75, show how you can determine their mean and standard deviation of the test scores for the students.(5 Points)