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1. When performing a t-test between two independent samples and you want to know the existence of a significant difference at a level of 90%

1. When performing a t-test between two independent samples and you want to know the existence of a significant difference at a level of 90% confidence, the p-value found should be:

a. Greater than 0.10
b. Less than0.10
c. Less than 0.05
d. Less than 0.01

2. When a statistician performs a correlation test, the most significant result is to observe whether the correlation coefficient is between:

a. Less than .05
b. 0 y 1
c. -1 y 1
d. Greater than .05

3. A random sample of 10 students from a statistics course at the master's level was selected.

The results indicate that the time in hours spent studying during the semester and the scores obtained in the final exam were as follows:

Times 40 42 37 47 25 44 41 48 35 28
Scores 77 63 79 86 51 78 83 90 65 47

What is the p-value of the regression?

a. 0.881
b. 0.776
c. 0.000754
d. 0.748

4. The null hypothesis approach for an analysis of an ANOVA test is:

a. The variances of all samples are the same.
b. The mean of sample a is equal to the mean of sample 2
c. The averages of all samples are the same
d. At least two differ

5. A real estate agent specializing in commercial real estate wanted a more accurate way to measure the potential selling price of building apartments. As a first effort, it recorded the price of several recently sold apartment buildings ($1,000) and the number of square feet in the building.

Which of the independent variables were significant, at 95% confidence, in the regression model-dependent variable?

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.688171747
R Square 0.473580354
Adjusted R Square 0.413418109
Standard Error 2644.082014
Observations 40
ANOVA
df SS MS F Significance F
Regression 4 220130123.6 55032530.89 7.871720081 0.000123372
Residual 35 244690939.4 6991169.697
Total 39 464821063

Coefficients Standard Error t Stat P-value Lower 95%
Intercept 1433.137414 2092.820532 0.684787536 0.497988109 -2815.514139
Size -14.55309345 20.69820961 -0.703108806 0.486638884 -56.57269287
Apartments 112.968551 24.01214689 4.704641844 3.90233E-05 64.22130123
Age -50.10193523 98.81135835 -0.507046316 0.615302268 -250.6996572
Floors -223.7948288 171.107677 -1.307918106 0.199426759 -571.1618806
Upper 95% Lower 95.0% Upper 95.0%
5681.788968 -2815.514139 5681.788968
27.46650597 -56.57269287 27.46650597
161.7158008 64.22130123 161.7158008
150.4957868 -250.6996572 150.4957868
123.5722229 -571.1618806 123.5722229
a. Size, Floors
b. Apartments
c. Age, Floors
d. Intercept, Apartments

6. A random sample of 10 students from a statistics course at the master's level was selected.

The results indicate that the time in hours spent studying during the semester and the scores obtained in the final exam were as follows:

Times 40 42 37 47 25 44 41 48 35 28
Scores 77 63 79 86 51 78 83 90 65 47

What is the Pearson correlation coefficient?

a. 0.881
b. 0.654
c. 0.776
d. 0.748

7. A real estate agent specializing in commercial real estate wants a more accurate way to measure the potential selling price of building apartments. As a first effort, it recorded the price of several recently sold apartment buildings ($1,000) and the number of square feet in the building.

What is the coefficient of determination of the regression model?

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.688171747
R Square 0.473580354
Adjusted R Square 0.413418109
Standard Error 2644.082014
Observations 40
ANOVA
df SS MS F Significance F
Regression 4 220130123.6 55032530.89 7.871720081 0.000123372
Residual 35 244690939.4 6991169.697
Total 39 464821063
Coefficients Standard Error t Stat P-value Lower 95%
Intercept 1433.137414 2092.820532 0.684787536 0.497988109 -2815.514139
Size -14.55309345 20.69820961 -0.703108806 0.486638884 -56.57269287
Apartments 112.968551 24.01214689 4.704641844 3.90233E-05 64.22130123
Age -50.10193523 98.81135835 -0.507046316 0.615302268 -250.6996572
Floors -223.7948288 171.107677 -1.307918106 0.199426759 -571.1618806
Upper 95% Lower 95.0% Upper 95.0%
5681.788968 -2815.514139 5681.788968
27.46650597 -56.57269287 27.46650597
161.7158008 64.22130123 161.7158008
150.4957868 -250.6996572 150.4957868
123.5722229 -571.1618806 123.5722229
a. 0.000123
b. 0.413418
c. 0.4735803
d. 0.6881717

8.A manager of a company wants to measure the factors that have the space of the office and the time dedicated to the integration of technology, in the professional performance of the employee.

Which statistical analysis is most appropriate to measure factors?

a. Variance
b. Correlation
c. Regression
d. T test

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