HSCI 390 - Bio Statistics » Spring 2020 » Lecture Exam 2

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Question #1
The alpha (α) level of a two-tailed hypothesis test using t will always be set at 0.05.
A.   FALSE
B.   TRUE
Question #2
When constructing a confidence interval using the z distribution, as you increase the sample size, the width of the confidence interval will decrease.
A.   TRUE
B.   FALSE
Question #3
The alpha (α) level of a one-tailed z hypothesis test is set at 0.05. The corresponding p-value calculated from your test statistic is 0.1367. Given the p-value, the most appropriate decision in this scenario would be to reject the null hypothesis of the test.
A.   TRUE
B.   FALSE
Question #4
The mean of the sampling distribution (also known as the mean of all sample means) is equal to the population standard deviation.
A.   TRUE
B.   FALSE
Question #5
Type I error occurs when you reject the null hypothesis when (unknown to us) it is, in fact, true.
A.   FALSE
B.   TRUE
Question #6
Investigators want to test whether people who worked overnight shifts reported less sleep per day than the general population. They conduct a one-tailed, one-sample t-test, comparing the mean number of hours of sleep in a sample of people who worked overnight shifts (sample mean= 6.5 hours) to the general population mean of 7.5 hours. Their calculated t-statistic had a corresponding p-value of 0.0345. Which of the following represents the best interpretation of this p-value?
A.   The probability that a person who works overnight shifts will get 6.5 hours of sleep or more per day is 3.45%.
B.   The probability that a person who works overnight shifts will get 7.5 hours of sleep or more per day is 3.45%.
C.   3.45% of people who worked overnight shifts reported more than 7.5 hours of sleep per day.
D.   The probability of obtaining a result as extreme or more extreme than the one observed if the null hypothesis is true is 3.45%.
E.   The probability of obtaining a result less extreme than the one observed if the null hypothesis was true is 3.45%.
Question #7
Which of the following is NOT true regarding the shape of normal curve:
A.   Peaks midway along the horizontal spread
B.   The total area under the curve is 1.0 or 100%
C.   Symmetrical
D.   Bell-shaped
E.   The mean is significantly higher than the median
Question #8
A population of low birth weight infants is found to have a mean (µ) weight of 5 pounds with a standard deviation (σ) of 0.5 pounds. It is determined that approximately 80% of this population of infants falls between a z-score of +1.28 and –1.28. Another way of interpreting this information about this population of infants is:
A.   Approximately 80% of infants fall within 10.28 standard deviations from the mean.
B.   Approximately 80% of infants fall between 1.28 pounds and –1.28 pounds.
C.   Approximately 80% of infants fall within 1.28 pounds above and below the mean.
D.   Approximately 80% of infants fall within 2.8 pounds above and below the mean.
E.   Approximately 80% of infants fall within 1.28 standard deviations above and below the mean.
Question #9
Approximately what percentage of the area under a normal curve lies within 1 standard deviation of the mean?
A.   43%
B.   95%
C.   68%
D.   55%
E.   99.7%
Question #10
When comparing a single sample to a population mean, a one-sample t-test must be used instead of a one-sample z-test when what value is unknown?
A.   The sample variance
B.   The population standard deviation
C.   The sample mean
D.   The sample standard deviation
E.   The desired alpha level

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