WorksheetsStatistics & Probability Quiz
Total questions: 15
Worksheet time: 8mins
Which of following is true about the mean of the sample means?
The mean of the sample mean is equal to the population mean.
The mean of the sample mean is equal to the population mean divided by the population variance.
The mean of the sample mean is equal to the square of population mean.
The mean of the sample mean is equal to the square root of population mean.
What is true about the standard error of the mean?
Decreases as the sample size increases.
It is less than the standard deviation of the population.
It measures the variability of the mean from sample to sample.
All of the above
What distribution is used to estimate population parameters when the population variance is unknown, and the sample size is less than 30?
Chi-square Distribution
t-Distribution
Pearson Correlation Coefficient
z-Distribution
Given µ =10, σ = 3 and n = 40. Which of the following distribution of the sample mean for a normal population when the population variance is known?
Chi-square Distribution
t-Distribution
Pearson Correlation Coefficient
z-Distribution
A History teacher claims that the average height of Filipino males is 163 centimeters. A student taking up Statistics randomly select 10 Filipino males and measure their heights. Their heights in centimeter are 163,167,159,165,162,164,163,160,169 and 174. To test the claim, which test is appropriate?
chi-square test
f-test
t-test
z-test
Which of the following states that the sampling distribution of the sample means approaches a normal distribution as the sample size gets larger?
Central Limit Theorem
Limit Theorem
Law of Large Numbers
Bayes Theorem
What happen to the histogram of the sample means of the random samples in Central Limit Theorem, as n→∞?
It changes nothing from the original population.
It shows the variance of the distribution.
It shows the standard deviation of the distribution.
It approaches the normalcy of the distribution.
Who developed the t-distribution in 1908?
William S. Gosset
Ronald A. Fisher
Wilhem G. Student
a student from Gosset Academy
It is a value in the t-distribution that is less than the probability of the given percentage.
degrees of freedom
percentile
t-value
right-tailed value
In Student's t-distribution, if the sample size is 25, what is the degree of freedom?
5
24
25
26
Which of the following values is the 90th percentile of the t-distribution with 15 degrees of freedom?
1.341
1.345
1.753
1.837
Which of the following symbol stands for the margin of error?
E
Z𝛼/2
n
For a 95% confidence level, the confidence coefficient is ± ____?
1.645
1.96
2.33
2.58
Which of the following symbols is used for critical values?
E
n
Zc
A sample size of 50 has a mean of 20. The population standard deviation is 18 and the confidence level to be used is 95%. What is the length of the confidence interval?
1.44
5.45
7.76
9.98
