Compute and the mean, $μ$ , of the random variable $X .259 \times$
Compute the variance, $σ^{2}$ , of the random variable $X, 1.45 \sim σ^{\circ}$
Compure the standard deviation, $σ$ , of the random variable $X, 1.20$
What is the probability that a randomly selected student has a parent involved in 1 activities?

Topic:

The Nature of Statistics

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Question 26

Sample annual salaries (in thousands of dollars) for employees at a company are listed.

Find the sample mean and sample standard deviation.
Each employee in the sample is given a $5%$ raise. Find the sample mean and sample standard deviation for the revised data set.
To calculate the monthly salary, divide each original salary by 12 . Find the sample mean and sample standard deviation for the revised data set.
What can you conclude from the results of (a), (b), and (c)?
The sample mean is $\overset{x}{ˉ} = 48.5$ thousand dollars.

Topic:

The Sampling Distribution of the Sample Mean

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Question 27

Using the following stem \& leaf plot, find the five number summary for the data by hand.

1 ∣ 18 2 ∣ 149 3 ∣ 33 4 ∣ 1167 5 ∣ 02367 6 ∣ 12 M in = Q1 = □ M e d = Q 3 = □ M a x =

Hint: Textbook Pages Question Help:

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Topic:

Descriptive Measures

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Question 28

← PS

2.03

Quiz - Box Plots \& Quartiles Questions 1-10 of 10 / Page 1 of 1 Question 1 (1 point) The high lemperatures for 50 cities are shown in the box-and-whisker plot. High Temperature for 50 Cities Describe the shape of the distribution. a Uniform b Approximately symmetric c Skewed to the left a Skewed to the right Question 2 (1 point) The boxplot shows the cost of 40 blenders. If you had \ 28$ how many of the blenders could you afford? a 25 b 40 c 10

Topic:

Probability Concepts

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Question 29

Question 5 (1 point) The box-and-whisker plot below represents students' scores on a recent English test. Student Scores What is the value of the upper quartile? a 94 b 84 c 68 d 76 Question 6 (1 point) The box-and-whisker plot below represents a set of grades in a college statistics class.

Topic:

Probability Concepts

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Question 30

\leftarrow: 11Θ \leftarrow PS 2.03 Quiz - Box Plots & Qu...

Question 7 (1 point) The box-and-whisker plot below represents the distribution of scores from a recent math test for Megan's class. Test Scores Megan's test score was in the top 25 percent of the class, but was not the highest score. Write a numerical score that could be Megan's score. Question 8 (1 point) Gabriella decides to start an exercise program. She obtains a table showing the amount of energy used during 20 minutes of 15 different activities. In the table, energy is measured in

Topic:

Probability Concepts

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Question 31

An cpenicn poll asks a randoen sample of adult whether they favor banning ownership of handguin by priate cinzens. A commentator believes that more than half of all adults favor such a ban. The null and ahenatrie hypotheses sou would wse to test this claim ate

$H_{w} : \overset{p}{^} = 00.5$
$H_{a} : \overset{p}{^} = 0.5, H_{,} : \overset{p}{^} \neq = 0.5$
$H_{4} : p = 0.5; H_{4} : p \neq = 0.5$
$H_{θ} : p = 0; H_{A} : p > 0$
None of the above

Topic:

The Nature of Statistics

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Question 32

Nevertheless a prince ought to inspire fear in such a way that, if he does not Win love, he avoids hatred; because he can endure very well being feared property of his citizens which will always be as long as he abstains from the According to the excerpt from The Prince, Machiavelli argues that -

for a ruler to maintain control, he must exercise constant involvement in his subjects' lives
an inferior man will blame others, while a superior man will exercise humility and blame himself, accepting responsibility
leaders should be feared and loved, but if one must choose, then to be feared is better than to be loved
the function of government should be similar to strengthening the trunk of a tree by weakening the branches

Topic:

Inferences for Population Standard Deviations

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Question 33

Quring the next fine yearb por capita disposabre income

i

expected to increase by \ 5.000

an d A jj l e x p er t e d t o in cre a se i t s p r i ce b y

12

. what etfect will this frome on the firmis saies nomme?

Topic:

Organizing Data

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Question 34

Compute the mean and standard deviation of the random variable with the given discrete probability distribution. Send data to Excel Part 1 of 2 Check

6 0^{\circ}

Topic:

Probability Concepts

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Question 35

Fractions Worksheet

\frac{5}{5} + \frac{7}{15} =

sin \frac{4}{5} - \frac{a}{8} =

\frac{8}{12} \div \frac{1}{2} =

2a. \frac{4}{10} - \frac{3}{4} =

\frac{1}{3} + \frac{5}{9} =

3a. \frac{7}{9} + \frac{3}{4} =

\frac{5}{2} + \frac{5}{12} =

4b. \frac{5}{12} + \frac{2}{3} =

Topic:

The Nature of Statistics

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Question 36

HW:

9.1

Dasic Princlples of Hypothesis Testing- Question 9 of 9 (t point) / Question Attempt 1 of 3 Iype I error: A company that manu actures sted wires guarantees that the mean breaking strength (in kionewtons) of the wires is greater than SU. Ihey measure the strengths for a sample of wires and test

H_{0} : μ = 50

versus

H_{1} : μ > 50

. Part 1 of 3 If a Type i error is made. what conclusion will be drawn regarding the mean breaking strength? The conclusion will be that the mean breaking strength is greater than 50. Part:

1/3

Part 2 of 3 If a Type II error is made, what conclusion will be drawn regarding the mean breaking strength? The condusion will be that the mean breaking strength is (Choose one) 50.

\times

Savo For Later o2023 MeGow HaluC Al foris pesened Loms of the I pingy Ce 487 Clear

Topic:

Probability Concepts

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Question 37

Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is

9 x

percent reliable, gestational diabetes affects

x + 1

percent of the population in our patient's age group, and that our test has a false positive rate of

X + 4

percent. Compute the following quantities based on this new information:

If 100,000 people take the blood test, how many people that test positive will actually have gestational diabetes?
What is the probability of having the disease given that you test positive?
If 100,000 people take the blood test, how many people that test negative despite actually having gestational diabetes?
What is the probability of having the disease given that you tested negative?

Topic:

Probability Concepts

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Question 38

Comment on what you observe in the above computations. How does the prevalence of the disease affect whether the test can be trusted? 3. As we-have seen in class, hypothesis testing and confidence intervals are the most common inferential tools used in statistics. Imagine that you have been tasked with designing an experiment to determine reliably if a patient should be diagnosed with diabetes based on their blood test results. Create a short outline of your experiment, Including all of the following:

A detailed discussion of your experimental design.
How is randomization used in your sampling or assignment strategy?
The type of inferential test utilized in your experiment.
A formal statement of the null and alternative hypothesis for your test.
A confidence interval for estimating the parameter in your test.
An interpretation of your $p$ -value and confidence interval, including what they mean in context of your experimental design.

Topic:

Probability Concepts

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Question 39

A patient is classified as having gestational diabetes if their glucose level is above 140 milligrams per deciliter (

mg / dl

) one hour after a sugary drink is ingested. Rebecca's doctor is concerned that she may suffer from gestational diabetes. There is variation both in the actual glucose level and in the blood test that measures the level. Rebecca's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with

μ = 140 + x mg / dl

and

σ = x + 1 mg / dl

, where

X

is the last digit of your GCU student ID number. What is the probability of Rebecca being diagnosed with gestational diabetes if her glucose level is measured:

Once?
$X + 1$ times, where $X$ is the last digit of your student $1 D$ ?
$X + 4$ times, where $X$ is the last digit of your student ID?

Topic:

Probability Concepts

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Question 40

A survey on Internet usage was conducted among a group of 200 students in the school cafeteria. It was found that 100 students spend at least two hours online every day. Which of these is an example of descriptive statistics?

$50%$ of the students surveyed spend at least two hours online each day.
$50%$ of the students in a class spend at least two hours online each day.
$50%$ of the students in the cafeteria spend at least two hours online each day.
$50%$ of the students in the school spend at least two hours online each day.

Topic:

The Nature of Statistics

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