5.4
問題一覧
1
If the variance is unknown and the sample size is small, which test statistic is appropriate?
t-test
2
One-sample z-statistic is used instead of one-sample t-statistic when
___________.
σ is known
3
Based on the Central Limit Theorem, when the sample (n) is extremely large and the variance is known, what is the statistical test to be used?
z-test
4
Which of the following characteristics can be considered in using z-
test/statistic as an appropriate test?
The sample size is greater than 30.
5
What test is appropriate if the distribution is not normal, there is a sufficiently large sample size, and population variance is unknown?
z-test
6
Which of the following notations is needed in identifying the test statistic to be used in computing test value?
σ
7
In a sample n=100 selected from a normal population 𝑥̅= 56 and 𝑠 = 12, what statistical test is applicable?
z-test
8
The t-test for single sample mean may be used when all the following
conditions are true except ____________.
Population standard deviation (𝜎) is known.
9
A simple random sample of 150 observations was taken from a large
population. The sample average and the sample standard deviation werevdetermined to be 70 and 16, respectively. What is the value of the s?
16
10
“The average production of corn in the Philippines is 3,000 kgs. A new plan on food has been developed and is tested on 60 plots. The mean yield with the new plan on food is 3,200 kgs with standard deviation of 600 kgs. At α = 0.05 level of significance, can you conclude that the production increased?” What test statistic is to be used on the given problem?
z-test
11
In the given situation below, identify the population standard deviation. “In a recent survey, the average amount of money a college student gets is ₱200.00 with a standard deviation of ₱62.00. A teacher feels that the average amount is higher. She surveys 80 randomly selected students and finds that the average amount is ₱245.”
𝜎 = ₱62.00
12
An agent believes that the average closing cost of purchasing a new home is ₱328,250. She selects 40 new home sales at random and finds that the average closing cost is ₱333,300. The standard deviation of the population is ₱6,060. What is the test statistic appropriate to used?
z-test
13
What test statistic is appropriate to use in the given problem below? “A random sample of 29 medical doctors showed that they work an average of 55 hours per week with a standard deviation of 7.5 hours per week. If the average is 48 hours per week, is this given evidence significantly greater than the rest of the medical doctors?”
t-test
14
Last 2015, the government made a claim that the average income of the Filipino people was ₱18,000. However, a sample was taken recently showing an average income of ₱20,000 with a population standard deviation of ₱1,300. Which test statistic is appropriate to use?
z-test
15
It is best applied if you have a limited sample size (n < 30) as long as the variables are approximately normally distributed.
t
16
It is also applicable if you do not know the populations’
standard deviation.
t
17
This is the best to use in a statistical test if the population standard deviation is known.
z
18
It is always used for normal distribution.
z
19
This test is often applied in large samples (n > 30).
z
20
includes all of the elements from a set of data.
population
21
consists of one or more observations drawn from the population.
sample
22
is the mean of sample values collected.
Sample mean (𝒙̅)
23
is the mean of all the values in the population.
Population mean (µ)
24
If the sample is randomly selected and sample size is large, then the sample mean would be a good estimate of the population mean.
Population mean (µ)
25
is a parameter which is a measure of variability with fixed value calculated from every individual in the population
Population standard deviation (𝝈)
26
is a statistic which means that this measure of variability is calculated from only some of the individuals in a population.
Sample standard deviation (𝒔)
27
in the same sense, indicates how the population data
points are spread out. It is the average of the distances from each data point in the population to the mean, squared
Population variance (𝝈²)
28
If the variance is known, what test statistic is appropriate?
z-test
29
One-sample t-statistic is used instead of one-sample z-statistic when
___________________.
σ is unknown
30
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?
z-test
31
Which of the following is NOT a consideration in using z-test/statistic?
The population mean is less than 30.
32
What appropriate tool is applicable if the population is normal, sample
standard deviation is known, and sample is less than 30?
t-test
33
Which of the following symbols is NOT needed when t-test is used in
computing values?
𝜎
34
If in a sample n=16 selected from a normal population, 𝑥̅= 56 and 𝑠 = 12, what statistical test is applicable to be used?
t-test
35
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.
36
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
37
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?
t-test
38
A leader of an association of jeepney driver claims that the average daily take-home pay of all jeepney drivers in Caloocan is ₱350.00. A random sample of 100 jeepney drivers in Caloocan was interviewed and the take-home pay was found to be ₱420.00. If 0.05 significance level was used to find out whether the average take home pay is different from ₱350.00 and population variance was assumed to be ₱92.00, what is the appropriate test statistic?
z-test
39
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. Do 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
40
A cellular battery manufacturer claims that his battery when fully charged has a mean life of 24 hours with a 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
41
According to a study, there is an increase on average monthly expenses of ₱250.00 for cell phone loads of Senior High School students in the city. Is there a reason to believe that the amount increased if sample of 60 students has an average monthly expense of ₱280.00 and the population standard deviation is ₱77.00? What is the tool to be used in computing the test value?
z-test
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16問 • 1年前問題一覧
1
If the variance is unknown and the sample size is small, which test statistic is appropriate?
t-test
2
One-sample z-statistic is used instead of one-sample t-statistic when
___________.
σ is known
3
Based on the Central Limit Theorem, when the sample (n) is extremely large and the variance is known, what is the statistical test to be used?
z-test
4
Which of the following characteristics can be considered in using z-
test/statistic as an appropriate test?
The sample size is greater than 30.
5
What test is appropriate if the distribution is not normal, there is a sufficiently large sample size, and population variance is unknown?
z-test
6
Which of the following notations is needed in identifying the test statistic to be used in computing test value?
σ
7
In a sample n=100 selected from a normal population 𝑥̅= 56 and 𝑠 = 12, what statistical test is applicable?
z-test
8
The t-test for single sample mean may be used when all the following
conditions are true except ____________.
Population standard deviation (𝜎) is known.
9
A simple random sample of 150 observations was taken from a large
population. The sample average and the sample standard deviation werevdetermined to be 70 and 16, respectively. What is the value of the s?
16
10
“The average production of corn in the Philippines is 3,000 kgs. A new plan on food has been developed and is tested on 60 plots. The mean yield with the new plan on food is 3,200 kgs with standard deviation of 600 kgs. At α = 0.05 level of significance, can you conclude that the production increased?” What test statistic is to be used on the given problem?
z-test
11
In the given situation below, identify the population standard deviation. “In a recent survey, the average amount of money a college student gets is ₱200.00 with a standard deviation of ₱62.00. A teacher feels that the average amount is higher. She surveys 80 randomly selected students and finds that the average amount is ₱245.”
𝜎 = ₱62.00
12
An agent believes that the average closing cost of purchasing a new home is ₱328,250. She selects 40 new home sales at random and finds that the average closing cost is ₱333,300. The standard deviation of the population is ₱6,060. What is the test statistic appropriate to used?
z-test
13
What test statistic is appropriate to use in the given problem below? “A random sample of 29 medical doctors showed that they work an average of 55 hours per week with a standard deviation of 7.5 hours per week. If the average is 48 hours per week, is this given evidence significantly greater than the rest of the medical doctors?”
t-test
14
Last 2015, the government made a claim that the average income of the Filipino people was ₱18,000. However, a sample was taken recently showing an average income of ₱20,000 with a population standard deviation of ₱1,300. Which test statistic is appropriate to use?
z-test
15
It is best applied if you have a limited sample size (n < 30) as long as the variables are approximately normally distributed.
t
16
It is also applicable if you do not know the populations’
standard deviation.
t
17
This is the best to use in a statistical test if the population standard deviation is known.
z
18
It is always used for normal distribution.
z
19
This test is often applied in large samples (n > 30).
z
20
includes all of the elements from a set of data.
population
21
consists of one or more observations drawn from the population.
sample
22
is the mean of sample values collected.
Sample mean (𝒙̅)
23
is the mean of all the values in the population.
Population mean (µ)
24
If the sample is randomly selected and sample size is large, then the sample mean would be a good estimate of the population mean.
Population mean (µ)
25
is a parameter which is a measure of variability with fixed value calculated from every individual in the population
Population standard deviation (𝝈)
26
is a statistic which means that this measure of variability is calculated from only some of the individuals in a population.
Sample standard deviation (𝒔)
27
in the same sense, indicates how the population data
points are spread out. It is the average of the distances from each data point in the population to the mean, squared
Population variance (𝝈²)
28
If the variance is known, what test statistic is appropriate?
z-test
29
One-sample t-statistic is used instead of one-sample z-statistic when
___________________.
σ is unknown
30
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?
z-test
31
Which of the following is NOT a consideration in using z-test/statistic?
The population mean is less than 30.
32
What appropriate tool is applicable if the population is normal, sample
standard deviation is known, and sample is less than 30?
t-test
33
Which of the following symbols is NOT needed when t-test is used in
computing values?
𝜎
34
If in a sample n=16 selected from a normal population, 𝑥̅= 56 and 𝑠 = 12, what statistical test is applicable to be used?
t-test
35
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.
36
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
37
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?
t-test
38
A leader of an association of jeepney driver claims that the average daily take-home pay of all jeepney drivers in Caloocan is ₱350.00. A random sample of 100 jeepney drivers in Caloocan was interviewed and the take-home pay was found to be ₱420.00. If 0.05 significance level was used to find out whether the average take home pay is different from ₱350.00 and population variance was assumed to be ₱92.00, what is the appropriate test statistic?
z-test
39
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. Do 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
40
A cellular battery manufacturer claims that his battery when fully charged has a mean life of 24 hours with a 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
41
According to a study, there is an increase on average monthly expenses of ₱250.00 for cell phone loads of Senior High School students in the city. Is there a reason to believe that the amount increased if sample of 60 students has an average monthly expense of ₱280.00 and the population standard deviation is ₱77.00? What is the tool to be used in computing the test value?
z-test