Statıstıcs Iı Ara 5. Deneme Sınavı
Toplam 20 Soru1.Soru
________________________ includes similar distribution of important characteristics (e.g., age, gender, marital status, health status) with the distributions of those characteristics in the population?
________________________ includes similar distribution of important characteristics (e.g., age, gender, marital status, health status) with the distributions of those characteristics in the population?
A bad |
A representative sample |
A database |
An average |
Standard deviation |
A representative sample includes similar distribution of important characteristics (e.g., age, gender, marital status, health status) with the distributions of those characteristics in the population.
2.Soru
if the type I error is 0.05 and a two-sided hypothesis testin is investigated, what is the z value from the standard normal distribution table?
1.96 |
2.18 |
1.65 |
2.33 |
1.88 |
0.95 / 2 = 0.4750
search 0.4750 from the table
the answer is 1.96
3.Soru
what is the last step of hypothesis testing?
Select a level of significance |
Formulate a decision rule |
Identify the test statistic |
Take a sample and make the decision |
State null and alternate hypotheses |
To test the claims made about the population parameters or in other words to test the statistical expressions the following steps can be followed:
Step 1: State null and alternate hypotheses
Step 2: Select a level of significance
Step 3: Identify the test statistic
Step 4: Formulate a decision rule
Step 5: Take a sample and make the decision
4.Soru
"In ..... sampling method, the members, who are identified previously, are asked to identify other members of the population. As newly identified members name others, the sample is getting larger." Which of the following completes the blank in given sentence?
Cluster |
Systematic |
Simple random |
Stratified |
Snowball |
The defined method is snowball sampling method, as the sample gets larger like a snowball.
5.Soru
I. Rejecting the null hypothesis in an ANOVA test means at least one of the means of the
population under consideration is different from the other population means.
II. To compare two means through hypothesis testing procedure which is called one-way analysis of variance (one-way ANOVA) technique used to compare the means of two populations.
III. Rejecting the alternative hypothesis in an ANOVA test means at least one of the means of the population under consideration is different from the other population means.
Which of the given statements about ANOVA test can said to be true?
Only I |
Only II |
I and II |
I and III |
II and III |
Rejecting the null hypothesis in an ANOVA test means at least one of the means of the
population under consideration is different from the other population means. We consider more than two means and compare them through hypothesis testing procedure which is called as one-way analysis of variance (abbreviated as one-way ANOVA) technique used to compare the means of more than two populations.
The answer is C.
6.Soru
In which sampling methods the sample includes the individiuals which are ready and availiable?
Quota sampling |
Snowball sampling |
Convenience sampling |
Cluster sampling |
Systematic sampling |
A convenience sample involves a group of individuals that is ready and available. It is also called availability sampling method.
7.Soru
A researcher wants to compute the mean weight of a certain product produced by a firm. The firm produces 8000 products per day and each product has a serial number from 1 to 8000. The researcher decide to choose 80 products in order to compute average weight. He chooses the products with serial numbers 3, 103, 203,303, 403, 503......7903. Which method of sampling did the researcher apllied?
Systematic sampling |
Cluster sampling |
Stratified sampling |
Sampling with replacement |
Convenience sampling |
He used the systematic sampling because he chooses 1 of the every 100 products in a systematic way. (8000/80=100 so he chooses the first element randomly, which is the 3rd one, and adds 100 to find the next one at each time)
8.Soru
Sample values for a continuous variable (electric voltage at home ; as volt) : 204, 214, 226, 234, and 242. What is the point estimate of the population arithmetic mean?
220 |
222 |
224 |
226 |
228 |
x = (204 + 214 + 226 + 234 + 242) /5 = 224. pg. 24. Correct answer is C.
9.Soru
In Eskisehir, 10 students were selected randomly from each of 3 universities to participate in a survey. Which type of sampling method was used?
systematic |
multi stage |
cluster |
stratified |
simple random |
In stratified sampling method, the target population is divided into homogenous subgroups which are called strata. Each subgroup is called stratum. Then a probability sampling method such as simple random sampling method is applied for each stratum to take a sample from the population. The strata must be mutually exclusive and exhaustive. This means that each unit of the population must be assigned to only one stratum. pg. 9. Correct answer is D.
10.Soru
Which test statistic do we use when the population variances are unkonwn and the sample size is smaller than 30?
z-test |
x-test |
t-test |
y-test |
Chi-test |
t-test is used under such circumtances.
11.Soru
Which of the following is true about t distribution?
The total area under a t-curve is 1 or 100%. |
The t distribution is unsymmetrical. |
The mean of the t distribution is all equal to one. |
The median and mode of the t distribution is equal to one. |
As the degrees of freedom decreases, the shape of the t distribution approaches to the standard normal distribution. |
Certain properties of the t distribution are as follows: • The t distribution is bell shaped and symmetrical. The total area under a t-curve is 1 or 100% • The mean, median and mode of the t distribution is all equal to zero. • As the degrees of freedom increases, the shape of the t distribution approaches to the standard normal distribution. The correct answer is A.
12.Soru
The observed z value is 3.62 and theoretical z value is 1.96, then what is the conclusion for hypothesis testing?
Fail to reject null hypothesis |
accept null hypothesis |
accept the alternate hypothesis |
Fail to accept the alternate hypothesis |
cant conclude |
13.Soru
Population of university A is 20.000, population of engineering students is 5.000 (25 % take statistics course), population of psychology students is 400 (25 % take statistics course), population of statistics students is 400. How many people are there in the target population for a survey about statistics courses?
5.800 |
5.400 |
1.750 |
1.350 |
400 |
x = 5.000 . 0.25 + 400 . 0.25 + 400 = 1.750 . pg. 3. Correct answer is C.
14.Soru
Which one of the following is a nonprobability sampling method?
Simple random sampling |
Stratified sampling |
Snowball sampling |
Cluster sampling |
Systematic sampling |
Nonprobability sampling methods are convenience sampling, snowball sampling, and quota sampling. The correct answer is C.
15.Soru
If you reject the null hypothesis when the null hypothesis is false, what is the decision?
Type I error |
Type II error |
1- ß |
ß |
Correct decision |
16.Soru
For the means of two normal distributions, what is the null hypothesis for two sided (two tailed) test?
H0 : µ1 – µ2 = 0 |
H0 : µ1 < µ2 |
H0 : µ1 – µ2 = 1 |
H0 : µ1 > µ2 |
H0 : p1 = p2 |
For two sided (two tailed) test, the null hypothesis (H0 ) and the alternative hypothesis (H1 ) are in the following form, H0 : µ1 – µ2 = 0 H1 : µ1 – µ2 ? 0. The correct answers is A.
17.Soru
where can we write down the following hypothesis
"Is there any difference for the mean number of defective products which are manufactured by two different machine operators?"
ANOVA |
One sample hypothesis testing |
Regression analysis |
Hypothesis testing for two populations |
Kolmogorov-Smirnov |
hypothesis testing problem to two random samples from two different populations to determine whether the population means, or proportions are equal. Some examples for these types of cases are as follows;
-
Is there any difference for the mean number of defective products which are manufactured by two different machine operators?
-
Is there any difference of the mean age of customers who are choosing different colours of the same car model?
-
Is there any difference between the mean exam grade of statistics course taken by economics and management department students?
-
Is there any difference for the proportion of the student grades which are using two different reference books for the same of course?
-
Is there any difference for the mean income level of the customers of two different banks?
18.Soru
A researcher wants to decide whether the average Statistics 101 course exam scores of students of faculty of engineering and faculty of natural sciences are same or not. He takes 60 students from faculty of engineering whose average exam score is 59, and 50 students from faculty of natural sciences whose average score is 65. The variance regarding the exam scores for engineering faculty is 15, and that for natural sciences faculty is 10. What will be the z-statistics for this comparison?
8.94 |
7.62 |
6.45 |
5.63 |
4.86 |
so z=(65-59)/(?15/60+10/50)=6/?0.45=8.94
19.Soru
Sample values for a continuous variable (noise level of a laptop computer ; as decibel) : 16, 19, 23, 24, 27, 32, 17, and 10. What is the point estimate of the population arithmetic mean?
18.0 |
19.0 |
20.0 |
21.0 |
22.5 |
x = (16 + 19 + 23 + 24 + 27 + 32 + 17 + 10) / 8 = 21. pg. 24. Correct answer is D.
20.Soru
For a statistical test following a normal distribution, the alternative hypothesis is that the mean equals to a hundred and the standard deviation is s = 20. A sample of 25 observations is randomly selected and the sample average is equal to 102. What is the test statistic equal to?
0.35 |
0.40 |
0.45 |
0.5 |
0.55 |
The observation is equal to 25 which is less than 30, so we use this formula to calculate the test statistics: t = (x -µ)/(s / (n)1/2). Here x=102, µ=100, s=20, n=25 this yields to t = (102 -100)/(20 / (25)1/2) which is equal to 1/2=0.5
The answer is D.
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