Normal distribution of Calculus 1 course in Chemical Engineering Department
According to the grade point average is 50 and the standard deviation is 3. Since the passing grade is 45:
a) What is the percentage of probability of Chemical Engineering students from the course?
b) What is the probability that Chemical Engineering students will pass the course?
c) What is the grade of the student who gets a grade better than 90% of the class from Calculus 1 course?
d) What is the grade of the student who gets a grade worse than 25% of the class from Calculus 1 course?

A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are listed below. Use a 0.05 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one​ minute?

What are the null and alternative​ hypotheses?

Determine the test statistic.

​Determine the​ P-value.

State the final conclusion that addresses the original claim.

Problem 4.Step 1: Generate a random integer between 3 and 6. Set A to be the value of the generated number.Step 2: Generate a random integer between 3 and 6. Set B to bethe value of the generated number.You are running a camp of 30 students, including John and Jane.3a.) What is the total possible ways you can arrange 2 focus groupsof students one group being size A(from step 1), and the other sizeB.3b.) What is the probability that John and Jane are not in the samegroup ( so either not chosen or are chosen but not in the same group).

The Department of Education would like to test the hypothesis that the average debt load of graduating students with a bachelor's degree is equal to $17,000. A random sample of 34 students had an average debt load of $18,200. It is believed that the population standard deviation for student debt load is $4,200. The α is set to 0.05. (a) Perform a hypothesis test showing all steps. Find 95% confidence interval for the population average debt. Confirm that the conclusion from the hypothesis test you did in part (a) is consistent with the conclusion you would draw from the confidence interval.

1. Researchers conducted a study to evaluate the effect of instruction on the time required to solve a mechanical puzzle. In one condition, students were given the mechanical puzzle and told to solve it as fast as they could and were warned that the puzzle was extremely difficult and they should expect to have difficulty. In a second condition, students were just told to solve the puzzle as fast as they could. The researcher measured the time it took for each student to complete the puzzle.

1. Identify the dependent variable for this study.
2. Identify the independent variable for this study.
3. What scale of measurement is used to measure the dependent variable? Is it discrete or continuous?

A flexible budget seeks to overcome the problem of differing levels of activity between budget and actual output volumes. A new ‘flexed’ budget is prepared at the actual output level to be used for variance analysis purposes. A simple example could be the budget given to you to grade test papers of 30 minutes per paper for 10 students = 300 minutes. If only 8 students sit the test your budget will be flexed to 240 minutes (8 x 30).)

Required:

In your own words, explain the meaning of ‘flexing the budget’ and why it is necessary.

5.28  Total sleep time of college students. In Example 5.4, the total sleep time per night among college students was approximately Normally distributed with mean μ = 6.78 hours and standard deviation σ = 1.24 hours. You plan to take an SRS of size n = 120 and compute the average total sleep time.

1. (a) What is the standard deviation for the average time?

2. (b) Use the 95 part of the 68–95–99.7 rule to describe the variability of this sample mean.

3. (c) What is the probability that your average will be below 6.9 hours?

A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are listed below. Use a 0.01 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one​ minute?

72
81
36
63
45
27
60
66
68
49
62
73
92
89
65

Determine the test statistic. __
(Round to two decimal places as​ needed.)

Determine the​ P-value. __
(Round to three decimal places as​ needed.)

A survey of 150 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take notes. The result of the survey is that 60 of the 150 students responded​ "yes." An approximate 98​% confidence interval is ​(0.307​, 0.493​). Complete parts a through d below. ​b) How would the confidence interval change if the sample size had been 375 instead of 150​? ​(Assume the same sample​ proportion.) The new confidence interval would be ▼ The new confidence interval would be left parenthesis nothing comma nothing right parenthesis .