Assume that you have an array of 100 elements representing the grades students are stored in memory. Suppose the grades are in IEEE single precision format. Write a MIPS program to compute the average of the students grades and store the result in register $f0. Assume the array base address is stored in register $s0 and a floating point value of 100 is stored in memory with it address given in register $s2.

1. Adam wants to know what percentage of YU students want to stay in Canada after Graduation. Previous studies suggest 85%. He has taken a sample of 25 students.
   1. What is the probability that he finds a percent less than 80%?

2. Assuming that he found 90% would like to stay in Canada, construct the 95% confidence interval for the true population’s proportion.

A researcher claims that more than 30 percent of students of WPU use reading glasses. A consumer agency wants to test this claim. The agency takes a random sample of 120 students and finds that 60 of them use reading glasses. If the agency conducts hypothesis testing, which would be the computed p-value for the test?

4.7

4.8

0.2

0.7

None of the above

Suppose it is desired to test the hypothesis that the mean score of students on a national examination is 500 against the alternative hypothesis that it is less than 500. A random sample of 15 students is taken from the population and produces a sample mean score of 475 and a sample standard deviation of 35. Assume the population of test scores is normally distributed. State the decision rule, the test statistic, and your decision.

Test scores from a college math course follow a normal distribution with mean = 72 and standard deviation = 8

Let x be the test score. Find the probability for a) P(x < 66)
b) P(68<x<78)
c) P(x>84)

d) If 600 students took this test, how many students scored between 62 and 72?

Suppose it is desired to test the hypothesis that the mean score of students on a national examination is 500 against the alternative hypothesis that it is less than 500. A random sample of 15 students is taken from the population and produces a sample mean score of 475 and a sample standard deviation of 35. Assume the population of test scores is normally distributed. State the decision rule, the test statistic, and your decision.

29% of all college students major in STEM (Science, Technology, Engineering, and Math). If 33 college students are randomly selected, find the probability that

a. Exactly 9 of them major in STEM.  
b. At most 12 of them major in STEM.  
c. At least 8 of them major in STEM.  
d. Between 9 and 13 (including 9 and 13) of them major in STEM.

The heights of 2000 students are normally distributed with a mean of 165.5 centimeters and a standard deviation of 7.1 centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students would be expected to have heights:

(a) less than 151.0 centimeters?

(b) Between 163.5 and 173.0 centimeters inclusive?

(c) Equal to 168.0 centimeters?

(d) Greater than or equal to 182.0 centimeters?

The heights of 1000 students are normally distributed with a mean of 177.5 centimeters and a standard deviation of 6.7 centimeters. Assuming that the heights are recorded to the nearest​ half-centimeter, how many of these students would be expected to have heights

​(a) less than 167.0 centimeters?

​(b) between 173.5 and 185.0 centimeters​ inclusive?

​(c) equal to 180.0 ​centimeters?

​(d) greater than or equal to 191.0 ​centimeters?