1- Most real estate offers are conditional on the buyer obtaining the necessary financing to complete the purchase. Based on past​ experience, one of​Canada's largest real estate agencies believes that​ 4% of the sales fail because the buyer is unable to obtain the financing approval from their mortgage broker or lender. The real estate agency has recently submitted 60 different​ offers, all of which are conditional on financing.

What is the sampling distribution model of the proportion of clients in this group who may not receive the necessary funding to purchase the​ house? Round to one decimal.

A. Mean​ = 4.0%; standard deviation​ = 0.3%

B. Mean​ = 4.0%; standard deviation​ = 2.5%

C. Mean​ = 96.0%; standard deviation​ = 2.5%

D. Mean​ = 96.0%; standard deviation​ = 0.3%

2- The director of admission of a large university is interested in determining the proportion of students who would like to live on campus in the coming academic year. Rather than examine the records for all​ students, the director randomly selects 150 students and finds that 108 of them would like to live on campus. Using a​ 90% confidence​ interval, what is the estimated true proportion of students who would like to live on campus in the coming academic​ year?

A.0.72​ ± 0.04457

B.0.72​ ± 0.060301

C.0.72​ ± 0.089582

D.0.72​ ± 0.028135

At a student café, there are equal numbers of two types of customers with the following values. The café owner cannot distinguish between the two types of students because many students without early classes arrive early anyway (i.e., she cannot price-discriminate).

The marginal cost of coffee is 10 and the marginal cost of a banana is 40.

The café owner is considering three pricing strategies:

Assume that if the price of an item or bundle is no more than exactly equal to a student's willingness to pay, then the student will purchase the item or bundle.

For simplicity, assume there is just one student with an early class, and one student without an early class.

Pricing strategy ?  yields the highest profit for the café owner.

Label the following 2-sample tests as: Proportions, Independent, and Dependent (matched-pairs). Determine the null and alternative hypothesis and whether the test is one-tailed or two-tailed. Then explain in detail the reasons behind your answers. You do not have to work the problems out.

1. The pre-test scores for 6 students were: 5, 5, 6, 7, 7, 8. The post-test scores for the same 6 students were: 7, 6, 7, 7, 9, 9. Is there a statistically significant difference between the two scores if we assume that the post-test scores were higher at the .01 level?

2. One group of 8 students took a pre-test, while another group of 7 students took a post-test. The following are the results: Pre-test: 5,6,4,3,4,6,6,7. Post-test: 6,6,8,7,9,8,8. Is there a difference between pre and post-test scores at the .01 level?

3. Two surveys were conducted asking participants whether they thought the morality of Americans was decaying or not. The percent of those who thought there was a decay in morality was 56% in survey 1, while the percent of those who thought there was a decay in morality was 59.5% in survey 2. Test the claim survey 2's percent was larger at the .05 level.

In a survey of 3025 adults aged 57 through 85​ years, it was found that 85.2​% of them used at least one prescription medication. Complete parts​ (a) through​ (c) below.

a. How many of the 3025 subjects used at least one prescription​ medication?

​(Round to the nearest integer as​ needed.)

b. Construct a​ 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication.

= %<p< %

​(Round to one decimal place as​ needed.)

c. What do the results tell us about the proportion of college students who use at least one prescription​ medication?

A. The results tell us that there is a​ 90% probability that the true proportion of college students who use at least one prescription medication is in the interval found in part​ (b).

B. The results tell us nothing about the proportion of college students who use at least one prescription medication.

C. The results tell us​ that, with​ 90% confidence, the probability that a college student uses at least one prescription medication is in the interval found in part​ (b).

D. The results tell us​ that, with​ 90% confidence, the true proportion of college students who use at least one prescription medication is in the interval found in part​ (b).

An SAT prep course claims to improve the test score of students. The table below shows the scores for seven students the first two times they took the verbal SAT. Before taking the SAT for the second time, each student took a course to try to improve his or her verbal SAT scores. Do these results support the claim that the SAT prep course improves the students' verbal SAT scores?

Let d=(verbal SAT scores prior to taking the prep course)−(verbal SAT scores after taking the prep course)d=(verbal SAT scores prior to taking the prep course)−(verbal SAT scores after taking the prep course). Use a significance level of α=0.01α=0.01 for the test. Assume that the verbal SAT scores are normally distributed for the population of students both before and after taking the SAT prep course.

​Full-time college students report spending a mean of 25 hours per week on academic​ activities, both inside and outside the classroom. Assume the standard deviation of time spent on academic activities is 4 hours. Complete parts​ (a) through​ (d) below. a. If you select a random sample of 16 ​full-time college​ students, what is the probability that the mean time spent on academic activities is at least 24 hours per​ week? nothing ​(Round to four decimal places as​ needed.) b. If you select a random sample of 16 ​full-time college​ students, there is an 80​% chance that the sample mean is less than how many hours per​ week? nothing ​(Round to two decimal places as​ needed.) c. What assumption must you make in order to solve​ (a) and​ (b)? A. The population is symmetrically​ distributed, such that the Central Limit Theorem will likely hold for samples of size 16. B. The sample is symmetrically​ distributed, such that the Central Limit Theorem will likely hold. C. The population is normally distributed. D. The population is uniformly distributed. d. If you select a random sample of 100 ​full-time college​ students, there is an 80​% chance that the sample mean is less than how many hours per​ week? nothing ​(Round to two decimal places as​ needed.

The Tvet college is interested in the relationship between anxiety level and the need to succeed in school. A random sample of 400 students took a test that measured anxiety level and need to succeed in school. Need to succeed in school vs Anxiety level Need to succeed High Med–High Medium Med–Low Low in school Anxiety Anxiety Anxiety Anxiety Anxiety High Need 35 42 53 15 10 Medium Need 18 48 63 33 31 Low Need 4 5 11 15 17 Which one of the following statements is incorrect?
1. The column total for a high anxiety level is 57:
2. The row total for high need to succeed in school is 155:
3. The expected number of students who have a high anxiety level and a high need to succeed in school is about 51:
4. The expected number of students who have a low need to succeed in school and a med–low level of anxiety is 8:19:
5. The expected number of students who have a medium need to succeed in school and a medium anxiety is 61:28:

the critical value of 2 at 10% significance level equals.
1. 17:535
2. 13:362
3. 20:090
4. 2:733
5. 15:98

Required information

[The following information applies to the questions displayed below.]

Multiple Choice

• H₀: μ ≤ 6.7 ; H₁: μ > 6.7

• H₀: μ = 6.7 ; H₁: μ ≠ 6.7

• H₀: μ > 6.7 ; H₁: μ = 6.7

• H₀: μ ≥ 6.7 ; H₁: μ < 6.7

Multiple Choice

• Reject H₀ if z < -1.645

• Reject H₁ if z > -1.645

• Reject H₀ if z > -1.645

• Reject H₁ if z < -1.645

Multiple Choice

• Reject H₀

• Cannot reject H₀

TABLE 4-8 (According to the record of the registrar's office at a state university, 35% of the students are freshman, 25% are sophomore, 16% are junior, and the rest are senior. Among the freshmen, sophomores, juniors, and seniors, the portion of students who live in the dormitory are, respectively, 80%, 60%, 30%, and 20%. ) 40. Referring to Table 4-8, what is the probability that a randomly selected student is a freshman who lives in a dormitory?

41. Referring to Table 4-8, what is the probability that a randomly selected student is a sophomore who does not live in a dormitory?

42. 130) Referring to Table 4-8, what is the probability that a randomly selected student is a junior who does not live in a dormitory?

43. Referring to Table 4-8, what is the probability that a randomly selected student is a junior or senior who lives in a dormitory?

44. Referring to Table 4-8, what percentage of the students live in a dormitory? 45. Referring to Table 4-8, what percentage of the students do not live in a dormitory?

46. Referring to Table 4-8, if a randomly selected student lives in the dormitory, what is the probability that the student is a freshman?

47. Referring to Table 4-8, if a randomly selected student does not live in the dormitory, what is the probability that the student is a junior or a senior?

Oct 1 Tom invested cash in the business, $40,000 2 Prepaid 6 months rent in advance, $4,800 3 Purchased Stage Equipment for $3,000. Paid $1,500 immediately but put the rest on account. 5 Purchased supplies for cash, $1,500 7 Purchased a one year insurance policy for $1,200 31 Paid the part-time worker, $450 Nov 2 Tom withdrew $180 so he could relax at the health spa 3 Tuition revenue for the month was, $3,500. Received $1,000 immediately from students the rest is due in 20 days. 8 Paid the telephone bill, $95 11 Paid the electric bill, $320 21 Received payment for tuition from students billed on November 3 23 Received the newspaper advertising bill, $160, it is due in 30 days. 27 Paid the part-time worker, $450 Dec 3 Tuition revenue for the month was, $5,500. Received $2,500 immediately from students, the rest is due in 20 days. 21 Paid the advertising bill which was received last month, $160 22 Received payment for tuition from students billed on December 3 24 Paid an additional $500 on the stage equipment purchased earlier in the year. 29 Purchased additional supplies on account, $300