Question

Question 21

Suppose a health insurance company is interested in carrying out an investigation as to the annual expenditures per household on their healthcare costs. In order to most accurately report their figures, the company decides to ensure “virtual certainty” about their estimates by using a Z value of 3.0 for their calculations. The company conducts a SRS of 843 households and determines the sample average household expenditures on healthcare is $43,257.00.

A) Assume the company uses a σ=$879.00. Calculate a confidence interval with virtual certainty for the average annual household expenditures on healthcare.

B) Interpret the interval calculated in the above response.

A) (51154.22, 51223.82) B) We are virtually certain that the true population average household expenditures on healthcare lies within the interval |
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A) (49254.77, 50154.26) B) We are somewhat certain that the true population average household expenditures on healthcare lies within the interval |
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A) (43166.18, 43347.82) B) We are virtually certain that the true population average household expenditures on healthcare lies within the interval |

Question 22

Suppose a mechanical engineering company is interested in patenting a new device that is intended to serve as the next generation of breast cancer screening beyond mammography. A key measurement statistic for the new device is its false positive rate. Suppose the current false positive rate for mammography is 12% with a σ of 3%, and the company tests the device on a SRS of 245 patients that results in an average false positive rate of 6.5%.

A) Can we assume that the new device improves upon the false positive rate for mammography? (Use α=0.05)

B) State and interpret your results.

A) Ho: µ=.12, Ha: µ>0.12, Z statistic=250.13 pvalue of <0.001 B) There is sufficient evidence to reject the null hypothesis that the average false positive result for the new screening method is equal to 0.12. The new screening tool has a much higher false positive rate based on the results from the sample. |
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A) Ho: µ=.12, Ha: µ<0.12, Z statistic=175.87 pvalue of <0.0001 B) There is |
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A) Ho: µ=.12, Ha: µ<0.12, Z statistic=276.53 pvalue of <0.0001 B) There is sufficient evidence to reject the null hypothesis that the average false positive result for the new screening method is equal to 0.12. The new screening tool has a much lower false positive rate based on the results from the sample. |

Question 23

A researcher is interested in the effectiveness of a new program at reducing the average systolic blood pressure in a population with a new anti-hypertensive medication. The researcher wants to test the hypothesis that the mean difference in systolic blood pressure is greater than 40 mmHG. Which of the following represents the correct null and alternative hypotheses for the study?

Ho: µ |
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Ho: µ |
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Ho: µ |
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Ho: µ |

Question 24

Suppose body mass index (BMI) varies approximately to the normal distribution in a population of boys aged 2-20. A national survey analyzed the BMI for American adolescents in this age range and found the µ=17.8 and the σ=1.9.

A) What is the 25^{th} percentile of this
distribution?

B) What is the z-score corresponding to finding a boy with at least a BMI 19.27?

C) What is the probability of finding a boy with at least this BMI?

A) 20.11 B) 0.457 C) 0.1278 |
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A) 16.52 B) 0.774 C) 0.2196 |
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A) 17.87 B) 0.674 C) 0.4521 |

Question 25

Variability in a distribution that would be otherwise non-normal may tend towards normality with random sampling.

True

False

Question 26

Suppose *X* ~ N(275, 16)

A) Find the P(X≥294)

B) Find the P(255≤X≤297)

C) Find the 17^{th} percentile of X

A) 0.2251 B) 0.75 C) 274.31 |
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A) 0.8745 B) 0.51 C) 224.46 |
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A) 0.1175 B) 0.81 C) 259.73 |
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Pg 162 |

Question 27

Suppose MCAT scores vary according to a normal distribution with µ=113 and σ=12.

A) Calculate the standard error of the mean when a simple random sample of 12 participants is collected.

B) Calculate the standard error of the mean when a simple random sample of 27 participants is collected.

C) Calculate the standard error of the mean when a simple random sample of 114 participants is collected.

A) 2.61 B) 3.22 C) 1.97 |
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A) 3.46 B) 2.31 C) 1.12 |
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A) 2.98 B) 2.12 C) 0.99 |

Question 28

In a population of HIV positive subjects enrolled in a new trial
to increase the prognosis and overall CD4 count, the CD4 levels
vary approximately according to a normal distribution. The mean CD4
level is 394.7 cells/m^{3} and the standard deviation is
21.7 cells/m^{3}. Of a sample of 48 participants, what is
the probability of finding at least a CD4 count of 350?

0.980 |
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1.231 |
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0.881 |

Question 29

Using a table for reference, determine the t value of t_{10,
0.05}

1.3721 |
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1.8124 |
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2.2280 |

Question 30

A researcher is interested in investigating the power of his statistical test analyzing the success rate of increasing forced vital capacity (FVC) in children with asthma. Suppose the researcher conducted a z test for significance with a SRS of 74 on a population with a mean FVC of 84% with a null hypothesis that mean FVC was equal to 76%. The prior research determined the standard deviation was 1.2%. What was the power of the test at 95% confidence?

~99% |
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~95% |
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~90% |

Answer #1

Suppose a mechanical engineering company is interested in
patenting a new device that is intended to serve as the next
generation of breast cancer screening beyond mammography. A key
measurement statistic for the new device is its false positive
rate. Suppose the current false positive rate for mammography is
12% with a σ of 3%, and the company tests the device on a SRS of
245 patients that results in an average false positive rate of
6.5%.
A) Can we...

Question 6
An investigator is looking at the relationship between
periodontal disease and the onset of hypertension. Suppose the
investigator decides to look at height as a variable that may
confound the relationship between exposure and case status in his
study. After collecting information about the height of each
participant, he assembles a database that approximates height with
the normal distribution.
A) Assuming the mean of the distribution is 176.2 cm with a
standard deviation of 17.5 cm, what are...

A researcher is concerned that his new antihypertensive
medication may be causing insomnia in some of his patients. Suppose
he gathers a SRS of 65 patients treated with the study drug with a
sample average of 6.6 hours of sleep and a σ=1.1. Assuming that
insomnia can be quantified as an average of 4.5 hours of sleep, can
we determine with 95% confidence that his drug avoids diagnosis of
insomnia as a side-effect?
Ho: µ=4.5, Ha: µ<4.5
Z stat=12.4...

Question 1.
The main purpose of screening is to identify symptomatic disease
using tests, exams, or other procedures.
True
False
Question 2.
The detectable pre-clinical phase of a disease starts when the
disease can be identified by a screening test and ends when the
disease produces symptoms.
True
False
Question 3
.Diseases that are appropriate for screening…
a.
Have serious consequences
b.
Have a treatment that is more effective at an earlier stage
c.
Have a detectable preclinical phase that...

Use the following information to complete the following
statements in questions 1.
An insurance company is reviewing its current policy rates. When
originally setting the rates, they believed that the average claim
amount was $1,500. They are concerned that the true mean is
actually higher than this, because they could potentially lose a
lot of money. The company is interested in making an inference
about the population mean as follows:
Null hypothesis: the true mean is _____ higher
than $1,500....

1. For a pair of sample x- and y-values, what is the difference
between the observed value of y and the predicted value of y? a) An
outlier b) The explanatory variable c) A residual d) The response
variable
2. Which of the following statements is false:
a) The correlation coefficient is unitless. b) A correlation
coefficient of 0.62 suggests a stronger correlation than a
correlation coefficient of -0.82. c) The correlation coefficient,
r, is always between -1 and 1....

QUESTION 1 1. Brianna is trying to increase her chances of being
promoted to vice president by working to build good work
relationships with other managers outside her own department.
Brianna's behavior should be viewed as dysfunctional politics.
functional politics. coercive power. functional influence. 2 points
QUESTION 2 1. The Gingerbread Factory has a separate unit that
makes their chocolate crunch cookies and another unit that is
completely responsible for all operations in producing their ginger
snap cookies. The Gingerbread...

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