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

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.

For the right triangle shown, whih equation can be used to find the vaule of x

Line r is parallel to line c

which angle is congruent to ∠3?
O ∠2
O ∠4
O ∠5
O ∠6​

2m² + 4m - 70
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Part B: 279,440,521
Select)
Part C: 39,760,761
[Select
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·Function 1: y is defined as a function of x by the equation y = 3 - 3x/5.

·Function 2: y is defined as a linear function of x by the table:

X Y
-5 12
-1 7.2
2 3.6
8 -3.6


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A. The y-intercept of Function 2 is half the y-intercept of Function 1.
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(answer choices in picture)

Find the measure of angle N

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L
м
ALKM
AJLM
ΔKML

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O A. The solution is
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OB. The solution is all real numbers.
O c. There is no solution,

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a. 3z-1
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d. none of the above

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1/3< x
A. 1/8
B. 1/4
C. 1/3
D. 1/2

At a sale, books are sold at $90.75 each, which is 75% of the original price.

(i) what is the original price of the book?

(II) Paul buys 10 books at the sale and pays VAT of 16% on the sale price. Calculate the TOTAL amount he paid for 10 books.

oday, everything at a store is on sale. The store offers a 20% discount. **NUMBERS ONLY. NO SYMBOLS.** a. The regular price of a T-shirt is $18. What is the discount price? b. The discount price of a hat is $18. What is the regular price

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