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WorksheetsT-Test Assessment
Total questions: 20
Worksheet time: 12mins
(a) is a random variable that is calculated from sample data and is used in a hypothesis test.
____________ includes all of the elements from a set of data while ______________ consists of one or more observations drawn from the population.
(a)
___________ is a measure of variability calculated from every individual in the population while ______________ is calculated from only some of the individuals in a population.
(a)
The two common test statistics to be computed in hypothesis testing are ________________________ and ____________________________________.
(a)
A z-score is calculated with population parameters such as population mean and (a) .
A t-test is used when the (a) or standard deviation is not known.
If the number of samples is sufficiently large and the variance is unknown, then (a) is appropriate to be used.
If the variance is known, what test statistic is appropriate?
t-test
z-test
two-tailed test
one-tailed
One-sample t-statistic is used instead of one-sample z-statistic when ___________________.
μ is known
σ is known
μ is unknown.
σ is unknown.
Based on the Central Limit Theorem, when the sample (n) is extremely large and the variance is unknown, what is the statistical test to be used?
t-test
z-test
two-tailed test
one-tailed
Which of the following is NOT a consideration in using z-test/statistic?
Variance is known.
Sample standard deviation is known.
The population mean is less than 30.
Population standard deviation is known.
What appropriate tool is applicable if the population is normal, sample standard deviation is known, and sample is less than 30?
t-test
z-test
normal test
Central Limit Theorem
Which of the following symbols is NOT needed when t-test is used in computing values?
𝑛
µ
𝜎
𝑠
If in a sample n=16 selected from a normal population, 𝑥̅ = 56 and 𝑠 = 12, what statistical test is applicable to be used?
f-test
t-test
z-test
Central Limit Theorem
Based on Central Limit Theorem, the z-test for single sample may be used when all the following conditions are TRUE except _________________.
Sample size is less than 30.
Data are normally distributed.
Population standard deviation is known.
A. Population standard deviation is unknown.
What is the sample standard deviation if a simple random sample of 220 students is drawn from a population of 2,740 college students? Among the sampled students, the average IQ score is 115 with standard deviation of 10.
10
115
220
2,740
The supervisor of a certain company claimed that the mean workday of his workers is 8.3 hours per day. A sample of 20 workers was taken and it was found out that the mean workday is 8 hours with standard deviation of 1 hour. At 0.01 level of significance, is the mean workday less than 8.3 hours?
What test statistic is to be used in the given problem?
z-test
t-test
right-tailed test
left-tailed test
The supervisor of a certain company claimed that the mean workday of his workers is 8.3 hours per day. A sample of 20 workers was taken and it was found out that the mean workday is 8 hours with standard deviation of 1 hour. At 0.01 level of significance, is the mean workday less than 8.3 hours?
Based on the problem, 8.3 hours is _____________.
σ
µ
𝑥̅
𝑠
L.V. Co. has an average sale of ₱37 million per week from their products in all their outlets. An area manager found out that the average gross sales from the 28 outlets under her jurisdiction is ₱32.5 million per week with standard deviation of ₱1.5 million. Does the mean sales of all outlets differ from the mean sales of the 28 outlets under her jurisdiction? In the given problem, what statistical tool is suitable to use?
t-test
z-test
ANOVA
chi-square test
A cellular battery manufacturer claims that his battery when fully charged has mean life of 24 hours with standard deviation of 4 hours. A dealer randomly chose sample of 35 batteries to be tested and resulted to 22.5 hours mean life. In the given situation, 22.5 hours is __________.
sample mean
number of sample
sample standard deviation
population standard deviation
