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Chapter 7
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Questions in this quiz (15)
1If all the possible random samples of size n = 5 are selected from a population with μ = 50 and σ = 10 and the mean is computed for each sample, then what value will be obtained for the mean of all the sample means?
- A50
- B50/5 = 10
- C50(5) = 2500
- DAround 50 but probably not equal to 50.
2All the possible random samples of size n = 2 are selected from a population with μ = 40 and σ = 10 and the mean is computed for each sample. Then all the possible samples of size n = 25 are selected from the same population and the mean is computed for each sample. How will the distribution of sample means for n = 2
compare with the distribution for n = 25?- AThe two distributions will have the same variances.
- BThe variance for n = 25 will be larger than the variance for n = 2.
- CThe variance for n = 25 will be smaller than the variance for n = 2.
- DThe variance for n = 25 will be two times larger than the variance for n = 2.
3If all the possible random samples of size n = 25 are selected from a population with μ = 80 and σ = 10 and the mean is computed for each sample, then what shape is expected for the distribution of sample means?
- AThe sample means tend to form a normal-shaped distribution whether the population is normal or not.
- BThe sample means tend to form a normal distribution only if the population distribution is normal.
- CThe sample means tend to be distributed evenly across the scale, forming a rectangular-shaped distribution.
- DThere are thousands of possible samples and it is impossible to predict the shape of the distribution.
4If samples are selected from a population with μ = 80 and σ = 12, then which of the following samples will have the largest expected value for M?
- An = 10 scores with M = 82
- Bn = 20 scores with M = 84
- Cn = 30 scores with M = 86
- DAll of the samples will have the same expected value.
5If random samples, each with n = 4 scores are selected from a population with µ = 80 and σ = 12, then how much distance is expected on average between the sample means and the population mean?
- A4(12) = 48 points
- B12 points
- C12/4 = 3 points
- D12/√4 = 6 points
6The standard distance between a sample mean and the population mean is 6 points for samples of n = 16 scores selected from a population with a mean of μ = 50. What is the standard deviation for the population?
- A48
- B24
- C6
- D3
7A normal population has µ = 50 and σ = 8. A random sample of n = 16 scores from this population has a mean of 54. What is the z-score for this sample mean?
- A+0.50
- B+1.00
- C+2.00
- D+4.00
8A random sample of n = 9 scores is obtained from a population with µ = 50 and σ = 9. If the sample mean is M = 53, what is the z-score corresponding to the sample mean?
- Az = 0.33
- Bz = 1.00
- Cz = 3.00
- DCannot determine without additional information.
9A random sample of n = 25 scores is selected from a normally distributed population with μ = 500 and σ = 100. What is the probability that the sample mean will be less than 490?
- A0.4602
- B0.3085
- C0.1587
- D0.0062
10For samples selected from a population with µ = 100 and σ = 15, which of the following has the smallest standard error?
- AA sample of n = 4 scores
- BA sample of n = 16 scores
- CA sample of n = 25 scores
- DThe three samples all have the same standard error.
11For samples selected from a population with µ = 40 and σ = 20, what sample size is necessary to make the standard distance between the sample mean and the population mean equal to 2 points?
- An = 2
- Bn = 10
- Cn = 25
- Dn = 100
12For a particular population, the standard distance between a sample mean and the population mean is 5 points for samples of n = 4 scores. What would the standard distance be for samples of n = 16 scores?
- A5 points
- B4 points
- C2.5 points
- D1 point
13If a sample is selected from a normal population with µ = 50 and σ = 20, which of the following samples is extreme and very unlikely to be obtained?
- AM = 45 for a sample of n = 4 scores.
- BM = 45 for a sample of n = 25 scores.
- CM = 45 for a sample of n = 100 scores.
- DThe three samples are equally likely to be obtained.
14A random sample is obtained from a population with µ = 80 and σ = 10 and a treatment is administered to the sample. Which of the following outcomes would be considered noticeably different from a typical sample that did not receive the treatment?
- An = 25 with M = 81
- Bn = 25 with M = 83
- Cn = 100 with M = 81
- Dn = 100 with M = 83
15If a sample of n = 25 scores is selected from a normal population with µ = 80 and σ = 10, then what sample means form the boundaries that separate the middle 95% of all sample means from the extreme 5% in the tails?
- A76.08 and 83.92
- B76.70 and 83.30
- C77.44 and 82.56
- D78 and 82
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- Year 1 Statistics I Quiz on Chapter 7, created by Eloise Brisson on 27/08/2022.
- Author
- Eloise Brisson
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- English
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