Answers Mathematics III AHypothesis Testing

Hypothesis Testing — Cumulative exam Answers

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Evaluate.a.c.b.d.

Simplify . a. c. b. d. Please select the best answer from the choices provided

A textbook company states that the average time a student needs to take a quiz from its book is 30 minutes with a standard deviation of 3 minutes. A teacher using the book is not sure that this is correct for her classes and wants to check. She collects data on 10 random students and finds that the average time to take the quiz was only 25 minutes. As a result, the teacher performs a two-tailed hypothesis test with a significance level of 5%. Which conclusion is valid based on the results of the test?

Her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company stated.

The teacher should pick up all unfinished quizzes at 25 minutes because her students are so much faster than average.

The teacher does not have enough information to make a conclusion about the average time on the test.

Her students, on average, do take the 30 minutes as the textbook company stated.

Which is the graph of ?

Option

Two different radioactive isotopes decay to 10% of their respective original amounts. Isotope A does this in 33 days, while isotope B does this in 43 days. What is the approximate difference in the half-lives of the isotopes?

3 days

10 days

13 days

33 days

Simplify .

Answer not available

If you are given the graph of , how could you graph ?

Translate each point of the graph of g(x) 5 units up.

Translate each point of the graph of g(x) 5 units down.

Translate each point of the graph of g(x) 5 units left.

Translate each point of the graph of g(x) 5 units right.

Which expression is equivalent to ?

Negative 4 x Superscript 4 Baseline y Superscript 6

Negative 8 x Superscript 4 Baseline y Superscript 6

StartFraction 4 x Superscript 4 Baseline Over y Superscript 6 EndFraction

StartFraction 8 x Superscript 4 Baseline Over y Superscript 6 Baseline EndFraction

Which set of population data is the least dispersed from its mean?

2, 3, 2, 9

4, 0, 4, 0

6, 2, 2, 2

9, 3, 5, 3

What is the solution of ?

x = –10

x = 3

x = –10 or x = 3

no solution

What is the value of in scientific notation?

0.5 times 10 Superscript 2

5.0 times 10 Superscript 3

5.0 times 10 Superscript 6

0.5 times 10 Superscript 7

What is the following product? Assume

x StartRoot x EndRoot

RootIndex 12 StartRoot x Superscript 5 EndRoot

x (RootIndex 12 StartRoot x Superscript 5 EndRoot)

The formula relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth. What is the length of a pendulum that makes one full swing in 2.2 seconds? Use 3.14 for .

2 feet

4 feet

11 feet

19 feet

What is the quotient in simplified form? Assume .

Negative StartFraction 4 a Superscript 12 Baseline b Superscript 8 Baseline Over 5 EndFraction

Negative StartFraction 4 a Superscript 32 Baseline b Superscript 5 Baseline Over 5 EndFraction

StartFraction a Superscript 12 Baseline b Superscript 8 Baseline Over 80 EndFraction

StartFraction a Superscript 32 Baseline b Superscript 5 Baseline Over 80 EndFraction

Kavita has been assigned the task of studying the average customer receipt for a branch of a major restaurant chain. The average receipt for the chain is $72.00 with a standard deviation of $11.00. The branch she is studying has an average bill of $67.00 for the last 40 receipts. She needs to know if this falls below the chain’s average. She will use a 1% level for significance because she does not want to inadvertently report the restaurants income as below average.Upper-Tail Valuesa5%2.5%1%Critical z-values1.651.962.58Which choice depicts the result for Kavita’s hypothesis test?

She should reject H0: µ = 72 and accept Ha: µ < 72.

She should reject H0: µ = 72 and accept Ha: µ 72.

She should accept H0: µ = 72 and reject Ha: µ 72.

She should reject Ha: µ < 72 but cannot accept H0: µ = 72.

Car insurance companies want to keep track of the average cost per claim. The current data in use for Auto Insurance R Us is an average of $2,200 for each claim with a standard deviation of $500. With this average, the company can stay competitive with rates but not lose money. However, the statistician for the company believes that the cost of the average claim has increased. He pulled 40 recent claims and found the average to be $2,350. Which most restrictive level of significance would suggest that the company should raise rates? Upper-Tail Valuesa5%2.5%1%Critical z-values1.651.962.58

2.5%

10%

What is the range of the function f(x) = –2(6x) + 3?

Option

The magnitude, M, of an earthquake is defined to be , where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. What is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.

4.5

6.9

The equation shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If planet Y is k times the mean distance from the sun as planet X, by what factor is the orbital period increased?