AND VERIFIED ANSWERS STUDY GUIDE 2024
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A probability distribution for all possible values of a sample statistic is known as
a
a. parameter
b. sample statistic
c. sampling distribution
d. simple random sample
c. sampling distribution
A population has a mean of 180 and a standard deviation of 24. A sample of 64
observations will be taken. The probability that the mean from that sample will be
between 183 and 186 is
a. 0.8185
b. 0.1359
c. 0.4772
d. 0.3413
b. 0.1359
In computing the standard error of the mean, the finite population correction
factor is not used when:
a. n ≥ 30
b. n/N ≤ 0.05
c. N/n ≤ 0.05
d. n/N > 0.05
b. n/N ≤ 0.05
A sample statistic, such as x bar , that estimates the value of the corresponding
population parameter is known as a:
a. population parameter
b. point estimator
c. Both a parameter and a population parameter are correct.
d. parameter
b. point estimator
The standard deviation of xbar is referred to as the
a. standard error of the mean
b. standard x
c. sample standard mean
d. sample mean deviation
a. standard error of the mean
,Which of the following is(are) point estimator(s)?
a. σ
b. μ
c. s
d. All of these answers are correct.
c. s
1. st. error: 24/sqrt(64) = 3
2. z value (upper): (186-180)/3 = 2
3. Norm.s.dist(1, true) = .9772
4. z value (lower): (183-180)/3= 1
5.Norm.s.dist(-1,true)= .8413
6. 0.9772-.8413=0.1359
The basis for using a normal probability distribution to approximate the sampling
distribution of xbar and pbar is:
a. the empirical rule
b. the central limit theorem
c. Chebyshev's theorem
d. Bayes' theorem
b. the central limit theorem
A finite population correction factor is needed in computing the standard
deviation of the sampling distribution of sample means:
a. whenever the sample size is less than 5% of the population size
b. whenever the population is infinite
c. whenever the sample size is more than 5% of the population size
d. The correction factor is not necessary if the population has a normal
distribution
c. whenever the sample size is more than 5% of the population size
A sample of 66 observations will be taken from a process (an infinite population).
The population proportion equals 0.12. The probability that the sample proportion
will be less than 0.1768 is
a. 0.4222
b. 0.0778
c. 0.9222
d. 0.0568
c. 0.9222
1. Mean of the sample proportions = 0.12
2. St. dev. of pbar = sqrt [ p(1-p) / n] = sqrt [ (0.12)(1-.12) / 66] = .04
μ = 0.12
σ = 0.04
3. standardize x to z = (x - μ) / σ = (0.1768-0.12) / 0.04 = 1.42
4. norm.s.dist(1.42,true) = 0.9222
A population has a mean of 53 and a standard deviation of 21. A sample of 49
observations will be taken. The probability that the sample mean will be greater
than 57.95 is
, a. 0
b. .0495
c. .4505
d. None of the alternative answers is correct.
b. .0495
1. 21/sqrt(49)=3
2. 57.93-53=4.95
3. 4.95/3 = 1.65
4.norm.s.dist(1.65,true) = .9505
5. 1-.9505= .0495
A numerical measure from a sample, such as a sample mean, is known as
a. a parameter
b. a statistic
c. the central limit theorem
d. the mean deviation
b. a statistic
T/F
Sampling is used to make an inference or answer a research question about a
population
True
T/F
In a simple random sample, when sampling a infinite population, you can use the
RAND excel function.
False
The population that you want to make inferences about when sampling is the
a. Sample population
b. Inferenced sample
c. Target population
d. Judgmental sample
c. Target population
A numerical characteristic of a population, such as the population mean, is
known as:
a. sample characteristic
b. sample statistic
c. simple sample
d. parameter
d. parameter
The sample statistic, such as the sample mean, or the sample standard deviation
is known as:
a. Standard error
b. Sample statistic