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Fall 2026-91195-202690-PSY208-N02 - Statistics

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If the level of

significance is 0.05, the conclusion is:

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Suppose a statistics

instructor believes that there is no significant difference between the mean

class scores of statistics day students on Exam 2 and statistics night students

on Exam 2. She takes random samples from each of the populations. The mean and

standard deviation for 35 statistics day students were 75.86 and 16.91. The

mean and standard deviation for 37 statistics night students were 75.41 and

19.73. The “day” subscript refers to the statistics day students. The “night”

subscript refers to the statistics night students. A concluding statement is:

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Elijah wants to know

whether

textbook

costs are different for different courses of study. He selects

a random sample of 33 sociology textbooks offered on a popular online site. The

mean price of his sample is $74.64 with a standard deviation of $49.36. He then

selects a random sample of 33 math and science textbooks from the same site.

The mean price of this sample is $111.56 with a standard deviation of $66.90. What is the t-critical value? Use the Student t-table from the

textbook to find the t-critical value. https://openstax.org/books/introductory-statistics-2e/pages/h-tables

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Elijah wants to know

whether

textbook

costs are different for different courses of study. He selects

a random sample of 33 sociology textbooks offered on a popular online site. The

mean price of his sample is $74.64 with a standard deviation of $49.36. He then

selects a random sample of 33 math and science textbooks from the same site.

The mean price of this sample is $111.56 with a standard deviation of $66.90. What

is t value?

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The Eastern and

Western Major League Soccer conferences have a new Reserve Division that allows

new players to develop their skills. Data for a randomly picked date showed the

following annual goals.

 

Western

Eastern

Los Angeles

9

D.C.

United 9

FC

Dallas 3

Chicago

8

Chivas

USA 4

Columbus

7

Real

Salt Lake 3

New

England 6

Colorado

4

MetroStars

5

San

Jose 4

Kansas

City 3

Table 10.25

The exact

distribution

for the hypothesis test is:

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A statistics instructor believes that fewer than 20% of

Evergreen Valley College (EVC) students attended the opening night midnight

showing of the latest Marvel Universe movie. The instructor surveys 84 students

and finds that 11 attended the midnight showing. An appropriate alternative

hypothesis is:

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When a new drug is created, the pharmaceutical company must

subject it to testing before receiving the necessary permission from the Food

and Drug Administration (FDA) to market the drug. Suppose the null hypothesis

is “the drug is unsafe.” What is the Type II Error?

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Previously, an organization reported that teenagers spent

4.5 hours per week, on average, on the phone. The organization thinks that,

currently, the mean is higher. Fifteen randomly chosen teenagers were asked how

many hours per week they spend on the phone. The sample mean was 4.75 hours

with a sample standard deviation of 2.0. Conduct a hypothesis test. The null

and alternative hypotheses are:

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It is believed that Lake Tahoe

Community College (LTCC) Intermediate Algebra students get less than seven

hours of sleep per night, on average. A survey of 22 LTCC Intermediate Algebra

students generated a mean of 7.24 hours with a standard deviation of 1.93

hours. At a level of significance of 5%, do LTCC Intermediate Algebra students

get less than seven hours of sleep per night, on average?

The

distribution to be used for this test is 

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Over the past few decades, public health officials have

examined the link between weight concerns and teen girls' smoking. Researchers

surveyed a group of 273 randomly selected teen girls living in Massachusetts

(between 12 and 15 years old). After four years the girls were surveyed again.

Sixty-three said they smoked to stay thin. Is there good evidence that more

than 30% of the teen girls smoke to stay thin? The alternative hypothesis is:

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