Lectures 3-4. The Normal Population Probability and Sampling Distributions

1. 1In a population probability distribution, the variable "X" denotes the

   1. ASample size
   2. BRandom variable
   3. CPopulation mean
   4. DPopulation standard deviation
2. 2In a population probability distribution, the variable "μ" denotes the:

   1. ASample Mean
   2. BSample standard deviation
   3. CPopulation mean
   4. DPopulation standard deviation
   5. ESample size
3. 3In a population probability distribution, the variable "σ" denotes the:

   1. ASample mean
   2. BSample standard deviation
   3. CPopulation mean
   4. DPopulation standard deviation
   5. ESample size
4. 4In a Standard Normal Curve, the [blank_start]z unit[blank_end] is used to represent the number of [blank_start]standard deviation units[blank_end] a value is from the [blank_start]population mean[blank_end].

   1. Az unit
   2. Bstandard deviation units
   3. Cpopulation mean
5. 5The Standard Normal Curve (SNC) has population values replaced by [blank_start]z values[blank_end].

   1. Az values
6. 6What is the Z formula for a SNC of a population distribution?

   

   1. Ax
   2. Bμ
   3. Cσ
   4. Dx
   5. Eμ
   6. Fσ
   7. Gx
   8. Hμ
   9. Iσ
   10. Jσ/√n
   11. KX̄
   12. LX̄
   13. Mσ/√n
   14. Nσ/√n
   15. OX̄
7. 7Let us consider the distribution of birth weights of all babies born at HUH to be a random variable; it follows a normal probability distribution with a mean (μ) equal to 2,900 grams and a variance (σ2) equal to 250,000 grams2. What is the probability that an infant in this population will have a birth weight greater than 2,100 grams?

   1. A0.9452
   2. B0.4452
   3. C0.6972
   4. D0.9022
8. 8The mean LDL for all US women has a mean and standard deviation of 150mg/dL and 10mg/dL respectively. What is the probability a person will have an LDL cholesterol value between 140mg/dL and 160mg/dL?

   1. A0.3413
   2. B0.5822
   3. C0.6826
   4. D0.7933
9. 9Which properties are TRUE about the Central limit theorem (CLM)?

   1. AThe mean of the means is equal to the true population mean µ
   2. BIf the probability distribution of the variable is normal then the sampling distribution of the mean of this variable is also normal.
   3. CIf the probability distribution of a variable is not normal with sufficient sample sizes, the sampling distribution of the mean is approximately normal
   4. DThe standard deviation in the sampling distribution is σ/√n which is called the standard error of the mean
10. 10What is the Z formula of a sampling distribution?

    

    1. AX̄
    2. Bμ
    3. Cσ
    4. Dσ/√n
    5. EX̄
    6. Fμ
    7. Gσ
    8. Hσ/√n
    9. IX̄
    10. Jμ
    11. Kσ
    12. Lσ/√n
    13. MX
    14. NX
    15. OX

11. 11The expression σ/√n represents the [blank_start]standard error[blank_end] of the [blank_start]mean[blank_end].

    1. Astandard error
    2. Bmean
12. 12In the sampling distribution the standard error of the mean (SEM) tells us the...

    1. Astandard deviation of the means in the sampling distribution
    2. Bvariability/spread of the sample means in the sampling distribution
    3. Cthe number of standard deviation units a value is away from the mean
13. 13In a sampling distribution, the z value represents the number of standard deviation units each sample mean is from μ.

    1. ATrue
    2. BFalse
14. 14 In the population of men in Honolulu, the mean blood glucose was 161.52 and the SD = 58.15. The blood glucose in the population was normally distributed. What is the probability that a sample of 25 would have a mean greater than 170

    1. A0.2673
    2. B0.2327
    3. C0.7673
    4. D0.2537
15. 15When using the chart to find a z-value given a particular AUC, you may take an average of two z-values if AUC falls in between them

    1. ATrue
    2. BFalse
16. 16In a sampling distribution of proportions, what does π represent

    1. Atrue population mean
    2. Btrue proportion value of the population
    3. Csample size
    4. D3.14
17. 17The Z formula for a proportion is:

    

    1. Ax
    2. BX̄
    3. Cσ
    4. Dp
    5. Eπ
    6. Fp
    7. Gπ
    8. Hx
    9. Ix̄
    10. Jμ
    11. Kσ
    12. Lσ/√n
    13. MSEp
    14. Nπ
18. 18SEp is calculated as the

    1. A√π(1-π)/n
    2. B√p(1-p)/n
    3. C√x(1-x)/n
    4. D√σ(1-σ)/n
19. 19When [blank_start]sigma[blank_end] is not known we can no longer use the z table to find probabilities, we have to use the t-distribution table

    1. Asigma
20. 20The formula for a t-value is:

    

    1. Ax
    2. Bx̄
    3. Cμ
    4. Dσ
    5. Ep
    6. Fx
    7. Gσ
    8. Hπ
    9. Iμ
    10. Jx̄
    11. Kσ
    12. Lσ/√n
    13. M√π(1-π)/n
    14. Ns/√n
    15. O√p(1-p)/n

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Biostatistics Quiz on Lectures 3-4. The Normal Population Probability and Sampling Distributions, created by Stephanie Reid on 09/09/2019.

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Stephanie Reid

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