At the local high school, there are 297 students. 71 students are seniors, and out of the 71 students, 53 participate in a sport (while 18 do not participate in a sport). Among those who are not seniors, 69 students participate in a sport and 157 do not. Suppose we choose one student at random from the entire class.

A. Are events "drawing someone who is a senior" and "drawing someone who does not play a sport" mutually exclusive? Why/why not?

B. Are events "drawing someone who is a senior" and "drawing someone who does not play a sport" independent? Why/why not?

(C-E) Suppose you draw five students at random without replacement.

C. What is the conditional probability that the second student drawn is a senior, if the first student drawn is a senior?

D. What is the probability that the second student drawn is a senior, without knowing anything about the first student?

E. What is the probability that among the five students, one of them is a senior?

A business school conducted a survey of companies in its state. It mailed a questionnaire to 200 small companies, 200 medium-sized companies, and 200 large companies. The rate of non response is important in deciding how reliable survey results are. Here are the data on response to this survey:

Test whether there is an association between the size of a company and the response rate at a .05 level of significance. Be sure to include the hypotheses, the test statistic, critical value, drawing of your distribution, and conclusion in the context of the problem.

Devonna and Jerry are making cookies for a bake sale at their daughters’ school. They decide to make chocolate chip cookies and iced sugar cookies. Respond to the following questions (make sure the final answers are proper fractions or mixed numbers and include the correct unit for each item).

Attempt History

Question 1

Davonna is going to mix up five times a single recipe of chocolate chip cookies. The recipe calls for:

• 1/2 c butter
• 1 c sugar
• 2 eggs
• 1 1/2 tsp vanilla
• 1 1/4 c flour
• 2 1/4 tsp salt
• 2 1/2 tsp baking soda
• 1 3/4 c chocolate chips

Calculate the total of each ingredient that Davonna needs for all her cookies.

Question 2

Jerry is going to mix up 2 1/2 times a single recipe of sugar cookies. The recipe calls for:

• 2 1/4 c flour
• 3/4 c sugar
• 1/4 tsp baking powder
• 1/2 tsp salt
• 1 1/4 c butter
• 2 eggs
• 1 1/2 tsp vanilla

Calculate the total of each ingredient that Jerry needs for all her cookies.

Question 3

Latisha also needs to make icing for her cookies. She decides to cut the recipe in 1/2. The recipe calls for:

• 2 egg whites
• 1/2 c sugar
• 1/8 tsp salt
• 1 1/2 tsp vanilla

Calculate the total of each ingredient that Latisha needs for her icing.

Question 4

Make a shopping list that includes the total ingredients necessary for Davonna and Latisha’s cookies.

Davonna needs:

• 2 ½ c butter
• 5 c sugar
• 10 eggs
• 7 1/2 tsp vanilla
• 6 1/4 c flour
• 11 1/4 tsp salt
• 12 1/2 tsp baking soda
• 8 3/4 c chocolate chips

Latisha needs for the cookies:

• 5 5/8 c flour
• 1 7/8 c sugar
• 5/8 tsp baking powder
• 1 1/4 tsp salt
• 3 1/8 c butter
• 5 eggs
• 3 3/4 tsp vanilla

Latisha needs for the frosting:

• 1 egg white
• 1/4 c sugar
• 1/16 tsp salt
• 3/4 tsp vanilla

Question 5

A bag of chocolate chips contains 2 c of chips.

• How many bags does Davonna need?  bags
• How much will be left over?  c

Question 6

One pound of butter is 2 cups.

• How many pounds of butter do the two women need for their cookies (they will need 5 5/8 c butter)?  lbs
• How many cups will be left over?  c

the average scores of math students in a certain school is 75 with a standard deviation of 8.1. one hundred students were randomly selected, and the average score was found to be 71. the director wants to know wether students have deteriorated. significance level is 0.01

1) the hypotheses are ?

2)Decision and conclusion ?

3) the critical value is ?

4) the test statistic is ?

1) The distribution of the amount of money spent by college students for school supplies in a semester is normally distributed with a mean of $275 and a standard deviation of $20.

Using the Standard Deviation Rule, there is a 99.7% probability that students spent between:

Group of answer choices

$255 and $295

$215 and $315

$235 and $315

$235 and $335

$215 and $335

2) The distribution of the amount of money spent by college students for school supplies in a semester is normally distributed with a mean of $275 and a standard deviation of $20.

Using the Standard Deviation Rule, there is a 95% probability that students spent between:

Group of answer choices

$215 and $335

$235 and $315

$215 and $315

$255 and $295

$235 and $335

3) Based on national data, the amount of sleep per night of all U.S. adults follows a normal distribution with a mean of 7.5 hours and a standard deviation of 1.2 hours.

Using the Standard Deviation Rule, there is a 68% probability that U.S adults get between:

Group of answer choices

5.1 and 8.7 hours of sleep

3.9 and 11.1 hours of sleep

6.3 and 8.7 hours of sleep

6.3 and 9.9 hours of sleep

5.1 and 9.9 hours of sleep

4) According to national data, 70% of all credit card users in the U.S. do not pay their card bill in full every month (p = .70). Suppose that a random sample of size n = 500 credit cards users is chosen.

Use the Standard Deviation Rule and the properties of the sampling distribution of p-hat. There is a 95% chance that, in any random sample of 500 credit card users, the proportion of those who do not pay their bills in full every month will be between:

Group of answer choices

.60 and .80

.55 and .85

.64 and .76

.66 and .74

5) According to national data on the sleeping habits of adults, the amount of sleep per night of all U.S. adults follows a normal distribution with a mean of 7.5 hours and a standard deviation of 1.2 hours. A study surveyed a random sample of 700 U.S. adults and found that their average amount of sleep per night was 6.85 hours with a standard deviation of 1.88 hours.

Fill in the blank below with the appropriate number corresponding to the provided symbol.

6)

According to national data on the sleeping habits of adults, the amount of sleep per night of all U.S. adults follows a normal distribution with a mean of 7.5 hours and a standard deviation of 1.2 hours. A study surveyed a random sample of 700 U.S. adults and found that their average amount of sleep per night was 6.85 hours with a standard deviation of 1.88 hours.

Fill in the blank below with the appropriate number corresponding to the provided symbol.

=

At the beginning of the school year, Craig Kovar decided to prepare a cash budget for the months of September, October, November, and December. The budget must plan for enough cash on December 31 to pay the spring semester tuition, which is the same as the fall tuition. The following information relates to the budget:

a. Prepare a cash budget for September, October, November, and December. Use the minus sign to indicate cash outflows, a decrease in cash or cash payments.

b. What are the budget implications for Craig Kovar?

Craig can see that his present plan will not provide  sufficient cash. If Craig did not budget but went ahead with the original plan, he would be $_____ short  at the end of December, with no time left to adjust.

A safety officer wants to prove that the average speed of cars driven by a school is less than 25 mph. Suppose that a random sample of 14 cars shows an average speed of 24.0 mph, with a sample standard deviation of 2.2 mph. Assume that the speeds of cars are normally distributed.

Provide the notation for the underlined value. That is, what does the underlined value represent?

A car being driven by a cyber school physics student is moving with a velocity of 100 km/hr. As the car comes over the hill the student notices a train crossing the highway 0.4 km in front of him. If he immediately applies the brakes which can give the car a deceleration of 1.0 m/s2, determine whether or not a collision will occur. Explain and show all calculations!

The supply curve of work requiring a high school degree or less is Q_S = - 13,000 + 2000P and the demand for such work is Q_D = 11,000 - 1000P. Assume this is a competitive market.

1. What is the market wage and quantity?

2. What quantity is hired if a minimum wage of $10 is imposed? What is the deadweight loss (DWL) of this policy?

3. Instead of a minimum wage, policymakers introduce a $1.5 wage subsidy (think EITC). What is the quantity of work supplied under this policy? What is the DWL of this policy?

4. What percentage of the subsidy is captured by the employers? (Hint: the buyer's burden is represented by ϵ S ϵ S − ϵ D)