Test Booklet AP CollegeBoard AP Statistics Name Unit 7, part 2 Test (MC) 1. A statistics student wants to compare the mean times needed to access flight information for two major airlines. Twenty randomly selected students accessed one airline's Web site, and the time required to locate the flight information using the Web site had a mean of 2.5 minutes and a standard deviation of 0.8 minute. Twenty different randomly selected students accessed the other airline's Web site, and the time required to locate the flight information using the Web site had a mean of 2.1 minutes and a standard deviation of 1.1 minutes. Assuming that the conditions for inference are met, which of the following statements about the p- value obtained from the data and the conclusion of the significance test is true?
A. The p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two Web sites
B. The p-value is greater than 0.01 but less than 0.05, therefore, there is a significant difference in mean search times on the two Web sites.
C. The p-value is greater than 0.05 but less than 0.10, therefore, there is a significant difference in mean search times on the two Web sites.
D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites
E. Since this is a matched-pairs situation, additional information is needed to perform a test of significance

Answers

Answer 1

Answer:

The statement about the p-value obtained from the data and the conclusion of the significant test that is true is option D

D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites

Step-by-step explanation:

From the question, the statistics student wants to compare the mean times needed to access flight information for two airlines

Let 'A' represent one of the airlines and let 'B' represent the other airline

In the statistics hypothesis test we have;

The mean time to access airline A's website, [tex]\overline x_1[/tex] = 2.5 minutes

The standard deviation to access airline A's website, s₁ = 0.8 minutes

The mean time to access airline B's website, [tex]\overline x_2[/tex] = 2.1 minutes

The standard deviation to access airline B's website, s₂ = 1.1 minutes

The t-test is given as follows;

The null hypothesis is H₀; μ₂ - μ₁ = 0

The alternative hypothesis is H₀; μ₂ - μ₁ ≠ 0

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

The critical-t at n₁ + n₂ - 2 = 20 + 20 - 2 = 38 degrees of freedom is therefore, from a graphing calculator, the critical-t = ±2.734 and the probability = 0.197;

[tex]t=\dfrac{(2.5-2.1)}{\sqrt{\dfrac{0.8^{2} }{20}+\dfrac{1.1^{2}}{20}}} \approx 1.32[/tex]

Therefore, given that the test statistic is smaller than the critical-t, and the p-value is greater than the significance level of 0.01 and is also larger than 0.10, therefore, there is no significant difference in mean search times on the two Web sites.


Related Questions

ANSWER NUMBER 2 PLEASE

1. The following test scores were collected from a math class: 84, 72, 78, 80, 75, 88, 43, 90, 75. Determine the outlier.

The outlier is 43.

2. Based on the data set in #1, which measure would better describe the test scores?

A. Mean
B. Median​

Answers

It would be the mean I’m pretty sure

Answer:

B: Median

Step-by-step explanation:

If there is an outlier then the median is better.

If there isn't an outlier then the mean is better.

Fifteen 7th graders were asked how many hours they spend doing homework each week and how many hours they spend watching television each week. the results are shown in the dot plots below

Answers

Answer:

A.

18 > 14, true

B.

12 - 16 = -4, true

C.

Mean:

Homework = (4 + 6*2+10*3+12*2+14*4+16*2+18)/15 = 11.73Television = (0 + 10*3+12*1+16*3+18*4+20*3)/15 = 14.8

The difference:

14.8 - 11.73 > 1, NOT true

D.

True

Write an equation of the line that passes through the given point P and has the given slope m.
P(9,4)
m = -1/3

Answers

9514 1404 393

Answer:

  y -4 = -1/3(x -9)

Step-by-step explanation:

The point-slope form of the equation for a line is useful for this.

  y -k = m(x -h) . . . . . . . line through point (h, k) with slope m

You are given (h, k) = (9, 4) and m = -1/3. Putting these values into the form gives the equation ...

  y -4 = -1/3(x -9)


Matt's savings account earns 2% interest each year. He had $200.00 in his savings account
at the beginning of the first year. If he did not deposit or withdraw any money, what is the
value of Matt's savings account at the end of the second year?

Answers

Answer:

208.08

Step-by-step explanation:

math

Answer:

204

Step-by-step explanation:

2% of 200 is 2 so after second year it will be 200,+2+2 that is 204

Duran is making party favors by placing a circular disk in the bottom of a plastic bag. Each disk has diameter of 6 centimeters. What is the area of the disk to nearest hundredth. ** Use 3.14

A. 18.84

B. 28.26

C. 91.06

D. 113.04

Answers

Answer:

B. 28.26

Step-by-step explanation:

One more than the product of 17 and Matt's savings

Use the variable m to represent Matt's savings.

Answers

Answer:

17m=2

Step-by-step explanation:

hey plz pick mine as the brainliest?

Pablo made a dot plot and histogram to show how many times last month each student in a class
played sports. However, the histogram is incorrect.
Times Played Sports Last Month
10
Times Played Sports Last Month
Number of students
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Number of times
5-9
10-14 15-19
Number of times
Answer the questions to show how Pablo can fix the histogram to match the dot plot.

Answers

Answer:

D

Step-by-step explanation:

Because I know

Answer:

1. The bar interval is correct, the height does not need to be changed.

2. The bar interval is not correct, the height has to change higher by 1.

3. The bar interval is not correct, the height has to change lower by 1.

4. The bar interval is correct, the height does not need to be changed.

I hope this helped

What would the simplified equivalent of (3^-3)^2 be?

Answers

Answer:

3

-----

2

Step-by-step explanation:

hii please help i’ll give brainliest

Answers

Answer: Point K

Step-by-step explanation:

The first number is the x line and the second number is the y line <3  pls mark brainliest

The Hiking Club plans to go camping in a State park where the
probability of rain on any given day is 30%. What is the probability
that it will rain on exactly one of the five days they are there? Round
your answer to the nearest thousandth.

Answers

Answer:

0.013

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ (1−p)ⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

and p is the probability of success.

Given n = 6, p = 0.69, and r = 0 or 1:

P = ₆C₀ (0.69)⁰ (1−0.69)⁶⁻⁰ + ₆C₁ (0.69)¹ (1−0.69)⁶⁻¹

P = (1) (1) (0.31)⁶ + (6) (0.69) (0.31)⁵

P = 0.013

Find the unit rate.if 5 pounds of potatoes cost $8.60, how much does one pound of potatoes cost.​

Answers

$1.72. Mark as brainliest?

Answer:

1.72

Step-by-step explanation:

8.60= 5 Pounds

So you divide by 5

8.60/5

1.75

A principal of a school with 484 students collected information about how many of the students wear glasses

Answers

Answer:

students

Step-by-step explanation:

you're missing a part?

what is the mean price of $29 $58 $15 $129 $75 $22

Answers

55 is your answer
each number added together sums up to $330
there are 6 numbers
if you divide 330 by 6 you will get 55

0.8 k - 20 = -60

what does ‘k’ equal?

Answers

Answer:

K = -50

Step-by-step explanation:

0.8(-50) - 20 = -60, because 0.8(-50) = -40, and when you subtract a negative you would "add" those numbers. So it would be 40 + 20 = 60, which would make it -60.

Answer:

k equals -50

Step-by-step explanation:

0.8 k - 20 = -60

0.8k = -60 + 20

0.8k = -0

k = [tex]\frac{-40}{0.8}[/tex]

k = -50

Suppose you know that the prices paid for cars are normally distributed with a MEAN or $17,000 and a STANDARD DEVIATION of $500. Use the EMPIRICAL RULE to find the percentage of buyers who paid

Answers

Complete question :

Suppose you know that the prices paid for cars are normally distributed with a MEAN or $17,000 and a STANDARD DEVIATION of $500. Use the EMPIRICAL RULE to find the percentage of buyers who paid between 15500 and 17000

Answer:

49.85%

Step-by-step explanation:

Mean = 17000

Standard deviation = 500

Obtain the Z score, which is the number of standard deviations from the mean :

((17000 - 17000) / 500) = 0

((15500 - 17000) / 500) = - 3

-3 to 3 = (3 standard deviations)

However,

The value here is (-3 to 0) ; which is only 3 standard deviations to the left.

3 standard deviation = 99.7% (empirical rule)

Since it is only (-3 to 0) ; which is only 3 standard deviations to the left. ; the percentage will be halved

99.7% / 2 = 49.85%

Hence, percentage of buyers who paid between 15500 and 17000 is 49.85%

The box plot show the price of textbooks at a local high school. What range describe the middle 50% if the price (p) of the textbooks?

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the box plot is not attached.

However, the interpretation of the question is to determine the inter-quartile range (IQR) ; this represents the middle 50% of scores

To answer this question, I will make use of the attached box plot.

IQR is calculated as:

[tex]IQR = Q_3 - Q_1[/tex]

[tex]Q_1[/tex] and [tex]Q_3[/tex] are represented by the vertical edges of the rectangle in the box plot. [See attachment]

Reading [tex]Q_1[/tex] and [tex]Q_3[/tex], we have:

[tex]Q_1 = 37[/tex]

[tex]Q_3 = 50[/tex]

The IQR is:

[tex]IQR = 50 - 37[/tex]

[tex]IQR = 13[/tex]

Hence, the range that describes the middle 50% of the attached plot is 13

Danielle earns a 7.5% commission on everything she sells at the electronics store where she works. How much commission did she earn last week if she sold $3,500 in electronics merchandise?

Answers

Answer:

$262.5

Step-by-step explanation:

Given data

Commission earned= 7.5%

Sales for last week=  $3,500

Let us find the amount of the commission

=7.5/100* 3500

=0.075*3500

=$262.5

Hence the commission earned last week is

$262.5

PLEASE HELP ME, THIS IS DUE TODAY!!!

Answers

Answer:

i think im late...

Step-by-step explanation:

Need help. Find the value of x

Answers

Answer:

Step-by-step explanation:

14

how do i do this?....... ​

Answers

Order of operations (from high priority to low priority):

Parentheses

Exponents

Multiplications/Division

Addition/Subtraction

All in left to right.

2 ÷ (5 + 3)⁻¹ ÷ 4

2 ÷ (8)⁻¹ ÷ 4

2 ÷ 1/8 ÷ 4

16 ÷ 4

= 4

Answer is 4
2:1/8:4=2*8/4=16/4=1


What is the value of x?
A. 25°
B. 50°
C. 55°
D. 75°
E. 80°

Answers

Answer:

Option Bx = 50°

Step-by-step explanation:

By the condition,

25° + 105° + x = 180° [Angle sum property of triangle]

=> 130 + x = 180

=> x = 180 - 130

=> x = 50° (Ans)

I am not 100% but I guess it’s B

I dont know what To Put here srry
There is a question here it pic

Answers

Answer:

31.4 OR 10π

Step-by-step explanation:

circumference of the circle: 2 × 3.14(π) × radius

the radius in the circle shown is 5

2 × 3.14 × 5 = 31.4

or

2 × π × 5 = 10π

5 x2 is 10 then times pi would be 31.4

answer but no links. quickly please

Answers

Answer:

1. 18

2.3 and 3/4

3.6 and 1/4

Step-by-step explanation:

3 by 6 equals 18 since 12 divided by 2 is 6

15 divided upon 4 is 3.75 or 3 3/4

50 divided by 8 equals 6.25 or 6 1/4

Name a pair of vertical angles

Answers

Answer:

Angle 2 and Angle 4 are vertical angles

Angle 2 and angle 4

Three students, Brayden, Adrian, and Aubrey, line up one behind the other. How many different ways can they stand in line?

Answers

9 different ways. Because there are three people and they can arrange themselves three ways three times three is nine.
Sense there is 3 students they can line up in 6 different orders

pls help ! tysm!!!!!!!!!!

Answers

Answer:

332

Step-by-step explanation:

332

Answer is 332 hope this helps you have a great day

Why is it not possible to make a right triangle using lengths of 4 feet, 8 feet, and 10 feet?

Answers

Answer:

because it does not follow the rule... you should be able to and any to side lengths and get an answer greater than the third side.

hii please help i’ll give brainliest

Answers

-(-3) is the right answer

Solve for x and round your answer to the nearest tenth.

Answers

Answer:

I believe it should be 32.9

Step-by-step explanation:

Geometry help please. What is J? What is G?

Answers

Answer:

j = 32

g = 78

Step-by-step explanation:

because they are similar you can use CPCTC corresponding parts of congruent triangles are congruent to determine f = j and h = g

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