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Quiz on Central Limit Theorem

Quiz by Catherine Scorpio

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10 questions
Show answers
  • Q1
    The Central Limit Theorem says that the standard deviation of the sampling distribution of the sample means is
    equal to the population standard deviation divided by the square root of the sample size.
    exactly equal to the standard deviation.
    close to the population standard deviation if the sample size is large.
    μ
    30s
  • Q2
    Samples of size 25 are selected from a population with mean 40 and standard deviation 7.5. The mean of the sampling distribution of sample means is
    7.5
    8
    40
    1.6
    30s
  • Q3
    Samples of size 25 are selected from a population with mean 40 and standard deviation 7.5. The standard error of the sampling distribution of sample means is
    .3
    7.5
    1.5
    8
    30s
  • Q4
    The mean and standard deviation of a population are 200 and 20, respectively. What is the probability of selecting 25 data values with a mean less than 190?
    31%
    69%
    99%
    0.6%
    30s
  • Q5
    he average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0. Suppose 36 golfers played the course today. Find the probability that the average score of the 36 golfers exceeded 71.
    .781
    .0228
    0
    .3694
    30s
  • Q6
    Suppose the teenagers that attend public high schools get an average of 5.7 hours of sleep each night with a standard deviation of 1.7 hours. What is the probability that a randomly selected group of 35 high school students get more than 6 hours of sleep each night?
    .430
    .087
    .148
    .281
    30s
  • Q7
    Let the mean=1000 and the standard deviation =25. In a group of 20 randomly selected unicorns, what is the standard deviation of the sampling distribution?
    5.59
    1.25
    4
    25
    30s
  • Q8
    The weights of unicorns are given have a mean of 1000 and a standard deviation of 25. What is the probability that the average weight of 25 randomly selected unicorns is greater than 1010 pounds?
    34.46%
    65.54%
    97.72%
    2.28%
    30s
  • Q9
    Researches found that boys playing high school football absorb an average of 355 hits to the head with a standard deviation of 80 hits during a season. What is the probability on a randomly selected team of 48 players that the average number of head hits per player is between 340 and 360?
    .571
    .614
    .429
    .236
    30s
  • Q10
    The amount of fuel used by jumbo jets to take off is normally distributed with a mean of 4000 gallons and a standard deviation of 125 gallons. What is the probability that the mean number of gallons of fuel needed to take off for a randomly selected sample of 40 jumbo jets will be less than 3950 gallons?
    .781
    .345
    .025
    .0057
    30s

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