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السلام عليكم ورحمة الله وبركاته

مرفق ملف الاسئله مع حلولها النموذجية

1. The hypothesis that an analyst is trying to prove is called the alternative hypothesis.
2. One-way ANOVA is used when analyzing the difference between more than two population means.
3. If r = 0.9, then r 2 = 0.81, which means that 19% of the total variation in y remains unexplained.
4. The chi-square goodness-of-fit test cannot be used to test for normality.
5. If x and y have a strong positive linear correlation, r is close to 0.
6. A test of independence CHI-SQUARE tests the null hypothesis that in a contingency table, the row and column variables are independent.


1. Which of the following is true of the null and alternative hypotheses?
a. Exactly one hypothesis must be true
b. both hypotheses must be true
c. It is possible for both hypotheses to be true
d. It is possible for neither hypothesis to be true

2. The form of the alternative hypothesis can be:
a. one-tailed
b. two-tailed
c. neither one nor two-tailed
d. one or two-tailed

3. The value set for is known as:
a. the rejection level
b. the acceptance level
c. the significance level
d. the error in the hypothesis test

4. The ANOVA test is based on which assumptions?
I. the sample are randomly selected
II. the population variances are all equal to some common variance
III. the populations are normally distributed
IV. the populations are statistically significant
a. All of the above
b. II and III only
c. I, II, and III only
d. I, and III only

5. The variance within samples (S2p) for the variances 4, 2, and 6 is equal to:
a. 4
b. 5
c. 6
d. None

6. A regression between foot length (response variable in cm) and height (explanatory variable in inches) for 33 students resulted in the following regression equation: yˆ = 10.9 + 0.23 x. One student in the sample was 73 inches tall then the predicted foot length for this student is.
a. 17.57 cm
b. 27.69 cm
c. 29 cm
d. 33 cm

1. The time x in years that an employee spent at a company and the employee’s hourly pay, y, for 5 employees are listed in the table below.
A-Calculate and interpret the correlation coefficient r.
B-Find the Regression equation. Include a plot of the data in your discussion.

X Y
5 25
3 20
4 21
10 35
15 38

A-Use a 0.01 significance level to test the claim that the proportion of men who plan to vote in the next election is the same as the proportion of women who plan to vote. 300 men and 300 women were randomly selected and asked whether they planned to vote in the next election. The result are shown below:
Men women Total
Plan to vote 170 185 355
Do not plan to vote 130 115 245
Total 300 300 600

- According to Berford’s law, a variety of different data sets includes numbers with leading (first) digits that follow the distribution shown in the nine row of Table 1. The bottom row lists the frequencies of leading digits of the populations of all 120 countries from New York and California combined. Test the claim that those 120 countries have populations with leading digits that follow Benford’s law.

Leading digit Benford’s lawistibution of leading digit CA and NY country population
1 30.1% 33
2 17.6% 22
3 12.5% 10
4 9.7% 15
5 7.9% 10
6 6.7% 9
7 5.8% 5
8 5.1% 7
9 4.6% 9
(From Table A-4 the Critical Value for χ^2 at degree of freedom =8 is 15.507 and p-value=0.652)

. A- One-way ANOVA table given below has 5 treatment and with the 15 observations per treatment. Find the values for the missing entries and compute F?

Source Df SS MS F
Treatment 26.3
Error 25 4
Total 29 126.3

Evaluate the F test statistic for the following data, where n=4 for each sample


Group 1 Group 2 Group 3 Group 4
Sample Mean 6.6 3.4 3.0 1.2
Sample Variance 5.35 1.35 2.5 2.65








الملفات المرفقة
نوع الملف: pdf Ass4key.pdf‏ (675.1 كيلوبايت, المشاهدات 70)
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