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Quiz on Confidence Intervals and Hypotheses

Quiz by Catherine Scorpio

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16 questions
Show answers
  • Q1
    A 90% confidence interval for the mean speed driven by cars on East Main St. is given by (21, 45). What was the margin of error of this study?
    24
    33
    none of these
    12
    30s
  • Q2
    A 90% confidence interval for the mean speed driven by cars on East Main St. is given by (21, 45). What was the sample mean of this study?
    90
    12
    33
    24
    30s
  • Q3
    A sample of 20 cupcakes found the interval for calories to be (150, 350). Which is the correct interpretation of the 95% confidence interval?
    We are 95% confident that the true mean calorie content in cupcakes is between 150 and 350 calories.
    We are 95% confident that the true mean calorie content can be found with a sample of 150 to 350 cupcakes.
    We are 95% confident that a sample of 20 cupcakes will find 250 calories per cupcake.
    95% of the 20 cupcakes had 150 to 350 calories.
    30s
  • Q4
    A 90% confidence interval for a population mean is determined to be 800 to 900. If the confidence is increased to 95% confidence while the sample statistics and sample size remain the same, the confidence interval
    becomes narrower
    is no longer a confidence interval
    does not change
    becomes wider
    30s
  • Q5
    Which z-value is used for a 95% confidence interval?
    2.33
    1.645
    2.576
    1.96
    30s
  • Q6
    Which of the following changes to a study would result in a narrower confidence interval?
    decreasing the confidence level, increasing the sample size.
    increasing the confidence level, increasing the sample size
    decreasing the confidence level, decreasing the sample size
    increasing the confidence level, decreasing the sample size
    30s
  • Q7
    A sample of 40 people owned an average of 1.35 apple products. It is known from a previous study that the population standard deviation of apple product ownership is 0.63 products. Construct a 95% confidence interval.
    (1.11, 1.58)
    (1.15, 1.55)
    (1.19, 1.51)
    (1.09, 1.61)
    30s
  • Q8
    A research group wishes to estimate the mean amount of time (in hours) that members of a fitness center spend exercising each week. They want to estimate the mean within a margin of error of 0.5 hours with a 95% level of confidence. Previous data suggests that the standard deviation is 2.2. Which of the following is the smallest sample size they could use?
    75
    60
    90
    180
    30s
  • Q9
    Which of the following is the definition of a "point estimate?"
    The midpoint of a confidence interval.
    The margin of error
    The average of a population.
    The confidence interval.
    30s
  • Q10
    A sample size of n = 64 is drawn from a population whose standard deviation is σ = 5.6. Find the margin of error for a 99% confidence interval for µ.
    1.799
    1.833
    1.803
    1.798
    30s
  • Q11
    An IQ test was given to a simple random sample of 75 students at a certain college. The sample mean score was 105.2. Scores on this test are known to have a standard deviation of 10. It is desired to construct a 90% confidence interval for the mean IQ scores of the students at the college.
    10
    75
    90
    105.2
    30s
  • Q12
    True or False: The more confident you want to be, the smaller your confidence interval will be.
    Tomato
    School bus
    False
    True
    30s
  • Q13
    True or False: The larger your confidence interval is, the more sure (higher confidence level) you can be.
    Pomegranate
    False
    Berlin
    True
    30s
  • Q14
    Which of the following represents the appropriate null & alternative hypotheses? The mean height of women is greater than 64"
    H₀: μ = 64" Hₐ: μ > 64"
    H₀: p > 64" Hₐ: p ≠ 64"
    H₀: p = 64" Hₐ: p > 64"
    H₀: μ > 64" Hₐ: μ ≠ 64"
    30s
  • Q15
    In their advertisements, a new diet program would like to claim that their methods result in a mean weight loss of more than ten pounds in two weeks. In order to determine if this is a valid claim, they hire an independent testing agency that then selects twenty-five people to be placed on this diet. The agency should be testing the null hypothesis H0: m = 10 and the alternative hypothesis:
    Ha: μ ≤ 10
    Ha: μ > 10
    Ha: μ < 10
    Ha: μ ≥ 10
    30s

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