A university wants to test the claim that the average SAT score for in-state (I) students is less than the average SAT score for out-of-state (O) students. It will use random samples of 50 in-state students and 45 out-of-state students. Choose the appropriate math symbol to replace the "?" in both the null and alternative hypotheses shown below.

H0: μI ? μO

≥

<

≤

=

>

≠

Ha: μI ? μO

<

=

≤

≥

>

≠

Question 3

At a local university, a sample of 64 evening students was selected in order to determine whether the average age of the evening students is significantly different from 21. The average age of the students in the sample was 23 years. The population standard deviation is known to be 4.5 years. Determine whether or not the average age of the evening students is significantly different from 21. Use a 0.05 level of significance

Among 180 students of mathematical statistics, 82 did not attend the lecture. The results of the quiz showed that among students who appeared at the lecture 70 students received a positive grade (all students who obtained a positive grade were 95). Examine the appropriate test whether the hypothesis that "passing the quiz is independent of whether the student attends classes" is correct. Assume a significance level of 0.05.

In a survey of 625 random students who took Probability and Statistics course, 400 pointed to Probability as the most enjoyable part of the course, the remaining 225 students chose Statistics as the most enjoyable part of the course. a) Find 90% confidence interval for the proportion of all students who preferred Probability. b) Find 95% confidence interval for the proportion of all students who preferred Statistics.

A college admissions director wishes to estimate the mean age of all students currently enrolled. In a random sample of 22 students, the mean age is found to be 21.4 years. From past studies, the ages of enrolled students are normally distributed with a standard deviation of 10.2 years. Construct a 90% confidence interval for the mean age of all students currently enrolled.

b. The standard deviation of the sample mean:

1. Medical literature says that about 8% of males are color-blind. A university’s introductory psychology course is taught in a large lecture hall. Among the students, there are 320 males. Each semester when the professor discusses visual perception, he shows the class a test for color blindness. The percentage of males who are color-blind varies from semester to semester. Let p = proportion of males that are color blind. Consider the sampling distribution of for a random sample of n = 320 males.a)Using the appropriate conditions, clearly list and show a check for each of the necessary assumptions for using the Central Limit Theorem to describe the sampling distribution of .

b)Clearly state what the Central Limit Theorem says about the sampling distribution of for a random sample of n=320 males, if the medical literature is correct that about 8% of males are color-blind.

c)Sketch the sampling distribution of that you gave in part (b). Make sure to include all appropriate labels.

d)When the 320 psychology class students took the test for color blindness, only 11 of them tested as being color-blind. Do you think this provides evidence that the medical literature isn’t correct? Explain in one clear sentence and support your answer with a probability. Hint: Use your sketch from part c!

Misty Mark, an infamous archer, decided to open an archery and fitness business called Bows and Biceps. The following is a list of transactions for Bows and Biceps for the first month. Put the transactions in a T account ledger and then create a trial balance, Income Statement, Statement of Owner’s Equity, and Balance Sheet on 5/31/20.

1. 5/1/2020 - Deposited $10,000 into a bank account in the name of the business.
2. 5/1/2020 - Signed a one-year lease for a building and paid the first six month’s rent of $4,200.
3. 5/2/2020 - Bought equipment from Archery Supply, Inc for $2,000.
4. 5/10/2020 - Enrolled 10 students in a Bow Hunting for Beginners class to be held on 5/29. Each student paid $50 for the class
5. 5/15/2020 - Misty gives her personal exercise equipment with a fair market value of $3,000 to the business.
6. 5/25/2020 - Enrolled 10 students in a Fit to Shoot class to be held next month. Each student paid $25 for the class.
7. 5/28/2020 - Purchased $500 in office supplies from Andy’s Office Supply on credit. Half of the supplies were used immediately, the other half was stored in the supply closet for future use.
8. 5/31/2020 - Misty withdraws $1,000 to take a vacation after working so hard to set up the business.

Misty Mark, an infamous archer, decided to open an archery and fitness business called Bows and Biceps. The following is a list of transactions for Bows and Biceps for the first month. Put the transactions in a T account ledger and then create a trial balance, Income Statement, Statement of Owner’s Equity, and Balance Sheet on 5/31/20.

1. 5/1/2020 - Deposited $10,000 into a bank account in the name of the business.
2. 5/1/2020 - Signed a one-year lease for a building and paid the first six month’s rent of $4,200.
3. 5/2/2020 - Bought equipment from Archery Supply, Inc for $2,000.
4. 5/10/2020 - Enrolled 10 students in a Bow Hunting for Beginners class to be held on 5/29. Each student paid $50 for the class
5. 5/15/2020 - Misty gives her personal exercise equipment with a fair market value of $3,000 to the business.
6. 5/25/2020 - Enrolled 10 students in a Fit to Shoot class to be held next month. Each student paid $25 for the class.
7. 5/28/2020 - Purchased $500 in office supplies from Andy’s Office Supply on credit. Half of the supplies were used immediately, the other half was stored in the supply closet for future use.
8. 5/31/2020 - Misty withdraws $1,000 to take a vacation after working so hard to set up the business.

Misty Mark, an infamous archer, decided to open an archery and fitness business called Bows and Biceps. The following is a list of transactions for Bows and Biceps for the first month. Put the transactions in a T account ledger and then create a trial balance, Income Statement, Statement of Owner’s Equity, and Balance Sheet on 5/31/20.

1. 5/1/2020 - Deposited $10,000 into a bank account in the name of the business.
2. 5/1/2020 - Signed a one-year lease for a building and paid the first six month’s rent of $4,200.
3. 5/2/2020 - Bought equipment from Archery Supply, Inc for $2,000.
4. 5/10/2020 - Enrolled 10 students in a Bow Hunting for Beginners class to be held on 5/29. Each student paid $50 for the class
5. 5/15/2020 - Misty gives her personal exercise equipment with a fair market value of $3,000 to the business.
6. 5/25/2020 - Enrolled 10 students in a Fit to Shoot class to be held next month. Each student paid $25 for the class.
7. 5/28/2020 - Purchased $500 in office supplies from Andy’s Office Supply on credit. Half of the supplies were used immediately, the other half was stored in the supply closet for future use.
8. 5/31/2020 - Misty withdraws $1,000 to take a vacation after working so hard to set up the business.

Misty Mark, an infamous archer, decided to open an archery and fitness business called Bows and Biceps. The following is a list of transactions for Bows and Biceps for the first month. Put the transactions in a T account ledger and then create a trial balance, Income Statement, Statement of Owner’s Equity, and Balance Sheet on 5/31/20.

1. 5/1/2020 - Deposited $10,000 into a bank account in the name of the business.
2. 5/1/2020 - Signed a one-year lease for a building and paid the first six month’s rent of $4,200.
3. 5/2/2020 - Bought equipment from Archery Supply, Inc for $2,000.
4. 5/10/2020 - Enrolled 10 students in a Bow Hunting for Beginners class to be held on 5/29. Each student paid $50 for the class
5. 5/15/2020 - Misty gives her personal exercise equipment with a fair market value of $3,000 to the business.
6. 5/25/2020 - Enrolled 10 students in a Fit to Shoot class to be held next month. Each student paid $25 for the class.
7. 5/28/2020 - Purchased $500 in office supplies from Andy’s Office Supply on credit. Half of the supplies were used immediately, the other half was stored in the supply closet for future use.
8. 5/31/2020 - Misty withdraws $1,000 to take a vacation after working so hard to set up the business.