High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam. Students who score in the top 14 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized? (Round your answer to 2 decimal places.)
In: Statistics and Probability
The grades of a group of 1000 students in an exam are normally distributed with a mean of 70 and a standard deviation of 10. A student is randomly selected from the group. Find the probability that;
a. Their grade is greater than 80
b. Their grade is less than 50
c. That their grade is between 50 and 80
d. Approximately, how many students have grade greater than 80% and how many have less than 50%
In: Math
3. The heights of female students attending a sixth form college have a mean of 168 cm and standard deviation of 4.5 cm. The heights can be modeled by a normal distribution: a. Find the probability that the height of a randomly selected female student attending this college is less than 172.5 cm? b. Find the probability that the mean height of a random sample of 11 female students from this college exceeds 172 cm?
In: Math
A math professor claims that the standard deviation of IQ scores of the students majoring in mathematics is different from 15, where 15 is the standard deviation of IQ scores for the general population. To test his claim, 10 students were surveyed and their IQ scores were recorded. 120, 110, 113, 123, 119, 160, 220, 119, 110, 140 Test the professor’s claim using a 0.01 level of significance.
In: Math
The weight of male students at a certain university is normally distributed with a mean of 175 pounds with a standard deviation of 7.6 pounds. Find the probabilities.
1. A male student weighs at most 186 pounds.
2. A male students weighs at least 160 pounds.
3. A male student weighs between 165 and 180 pounds.
Please show work. Ideally excel commands would be helpful, but anything would be great!
In: Math
In: Computer Science
2- You are a researcher studying the affect of happiness between office workers, students, and musicians. Is there a difference in their affect of happiness?
|
Office workers |
Students |
Musicians |
|
23 |
47 |
88 |
|
43 |
77 |
98 |
|
56 |
84 |
78 |
|
89 |
55 |
76 |
|
45 |
67 |
82 |
|
55 |
76 |
95 |
|
23 |
45 |
79 |
|
33 |
67 |
85 |
|
27 |
87 |
94 |
|
26 |
66 |
87 |
In: Math
Question 2. Write a complete C++ program that uses a 2-dimensional array with 4 rows and 30 columns. Row represents sections of a course and column represents the students, value inside each position of the array is the final exam grade for each students. Fill the array with random numbers between 40 and 100. Calculate the total, average, maximum, minimum for each section. Please do it simple. code
In: Computer Science
A sample of 52 Elementary Statistics students includes 13 women. Assuming the sample is 4. random. . . (a) Estimate the percentage of women taking Elementary Statistics with 98% confidence. (b) At 10% significance, test whether less than 40% of the enrollment in all Elementary Statistics classes consists of women. (c) If in fact 46% of the students in Elementary Statistics classes are women, find the power of the above test in detecting this parameter.
In: Math
A survey of 300 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take notes. Suppose that based on the survey, 135 of the 300 students responded "yes."
a) What is the value of the sample proportion p^?
b) What is the standard error of the sample proportion?
c) Construct an approximate 95 confidence interval for the true proportion p by takingplus or minus 2 SEs from the sample proportion.
In: Math