AnswersAdvanced Financial AlgebraFinancial Statistics and Research

Financial Statistics and Research — Test Answers

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If an investor owned 90 shares before the 2-for-1 stock split on Day 3, how many shares would they own after the split?

A
130 shares
B
100 shares
C
180 shares
D
140 shares
3
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What is the standard deviation of the number of establishments?

A
81 point 7 9
B
86 point 3 4
C
75 point 1 2
D
91 point 9 6
4

What is the mean of the number of establishments?

A
1 comma 150
B
1 comma 062 point 1 4
C
1 comma 035 point 7 1
D
1 comma 025
5

Which statement about the scatterplot is true?

A
There is no noticeable trend between how fast customer service responds and the customer retention rate.
B
Faster response times usually improve customer retention, but only up to a point, after which it levels off.
C
Slower response times are associated with better customer retention.
D
The faster the customer service response time, the higher the customer retention.
6

If the income of ID004 (originally $⁢120,000 ) was entered incorrectly and should be $⁢100,000 , what would be the new mean income? Enter your answer in the box.

Answer:

76500

7

What is the standard deviation of the incomes in the sample tax data? Round answer to the nearest whole number. Enter your answer in the box.

Answer:

25391

8

Based on the chart, can we conclude that the drop in Company A's stock price caused the drop in Company B's stock price?

A
Yes, because both companies experienced a similar drop in prices.
B
Yes, because Company A's price started to drop before Company B's price.
C
No, because Company B's stock price is independent of Company A's stock price.
D
No, because correlation does not imply causation, and both companies could have been affected by the same external factor.
9

What is the mode annual income?

Answer:

$20,000

10

Using a regression calculator, which quadratic equation best models the relationship between the number of promotional campaigns and sales revenue?

A
y=20.54⁢x2−163.8⁢x+55
B
y=20.54⁢x2+163.8⁢x−55
C
y=−20.54⁢x2+163.8⁢x+55
D
y=−20.54⁢x2−163.8⁢x+55
11

What is incorrect about the candlestick for Friday?

A
The candlestick should be red, but it's shown as green.
B
The close price is plotted too low.
C
The candlestick should have a shorter lower wick.
D
The open price is plotted too low.
12

Choose the correct answer from each drop-down menu to complete the statement.

Answer:

total membership|members who received discounts

13

Which statement is true based on the data and the regression equation?

A
Demand will increase as the price rises until it reaches 396 dollars, and then it will decrease further if the price increases.
B
Demand will decrease as the price rises until it reaches 642 dollars, which will increase further if the price increases.
C
The demand will increase steadily as the price rises beyond 300 dollars.
D
The demand will remain unchanged as the price increases from 400 dollars to 600 dollars.
14

Graph the scatterplot made from the data.

Answer:

point; 4; 6; 8; 14; 12; 18; 16; 15; 20

15

Based on the study's results, which statement about the loyalty program's impact is most accurate?

A
The average purchase frequency is higher for loyalty program members, but the standard deviation shows that purchase behavior varies widely among participants.
B
The loyalty program increased purchase frequency for all customers equally.
C
Despite the high average purchase frequency, the loyalty program had no measurable impact on customer purchases, as shown by the standard deviation.
D
Customers who did not join the loyalty program made as many purchases as those who joined.
16

What does the standard deviation of 4 purchases per month for loyalty program members suggest about their buying behavior?

A
There was significant variation in the number of purchases made by loyalty program customers.
B
All customers who are part of the loyalty program make exactly 10 purchases per month.
C
The program did not affect customer purchases.
D
Most customers made fewer than 6 purchases per month.
17

A small business owner pays his three employees the monthly salaries $⁢4,000 , $⁢3,500 , and $⁢4,500 What is the mean salary of the employees?

A
3 dollars comma 325
B
4 dollars comma 200
C
4 dollars comma 000
D
875 dollars
18

Kassandra observed that the range in her monthly grocery bills was $⁢150 The standard deviation was $⁢45 , and the IQR was $⁢65 Based on these measures of spread, which of the following statements is true?

A
Half of the months, Kassandra had grocery expenses that differed by 150 dollars.
B
The middle 50 percent of the months, Kassandra's expenses varied by 65 dollars.
C
Kassandra's average monthly grocery bill was 150 dollars.
D
Kassandra's monthly grocery expenses vary by exactly 45 dollars each month.
19

A financial analyst studies the distribution of taxable incomes among a group of individuals and finds it is highly skewed to the left. Which statement best describes the characteristics of this distribution?

A
The mean and median are approximately equal.
B
The distribution has a symmetrical shape.
C
The median is greater than the mean.
D
The mean is greater than the median.
20

Jacob tracked his monthly expenses for entertainment, utilities, and gas over three months. The data is as follows: Month Entertainment ($) Utilities ($) Gas ($) Jan 100 150 50 Feb 120 140 30 Which of the stacked bar graphs correctly represents Jacob's monthly expenses?

A
Image with description A stacked graph shows month labeled January to February on the x-axis and expenses (in dollars) on the y-axis labeled 50 to 400. Each bar is divided into three sections Entertainment, Utilities, and Gas. In January, the entertainment expense is around 100, the Utilities expense ranges from 100 to 200, and the gas expense ranges from 200 to 300. In February, the entertainment expense is around 120, the Utilities expense ranges from 120 to 240, and the gas expense ranges from 240 to 360.
B
Image with description A stacked graph shows month labeled January to February on the x-axis and expenses (in dollars) on the y-axis labeled 50 to 400. Each bar is divided into three sections Entertainment, Utilities, and Gas. In January, the entertainment expense is around 300. In February, the entertainment expense is around 290. No expense on utilities and gas for both months.
C
Image with description A stacked graph shows month labeled January to February on the x-axis and expenses (in dollars) on the y-axis labeled 50 to 400. Each bar is divided into three sections Entertainment, Utilities, and Gas. In January, the entertainment expense is around 120, the Utilities expense ranges from 120 to 260, and the gas expense ranges from 260 to 290. In February, the entertainment expense is around 120, the Utilities expense ranges from 120 to 280, and the gas expense ranges from 280 to 330.
D
Image with description A stacked graph shows month labeled January to February on the x-axis and expenses (in dollars) on the y-axis labeled 50 to 400. Each bar is divided into three sections Entertainment, Utilities, and Gas. In January, the entertainment expense is around 100, the Utilities expense ranges from 100 to 250, and the gas expense ranges from 250 to 300. In February, the entertainment expense is around 120, the Utilities expense ranges from 120 to 260, and the gas expense ranges from 260 to 290.
21

A car dealership wants to increase its monthly vehicle sales. Which statistical question would help achieve this goal?

A
What is the total inventory of vehicles at the dealership?
B
How many salespeople are working during peak hours?
C
What is the average time taken to complete a sale?
D
How do monthly sales vary by vehicle model?

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