Exam Bank For BSTAT2 Second Edition By Gerald Keller
CHAPTER 11: INFERENCE ABOUT A POPULATION
TRUE/FALSE
1. In order to ascertain the significance of speculation testing regarding the population mean μ, knowledge of the test statistic value is crucial.
Answer: True | Category: Analytical; Hypothesis Testing
2. To understand the significance of speculation testing concerning the population mean μ, familiarity with the test statistic value is essential.
Answer: False | Category: Analytical; Hypothesis Testing
3. If a sample consists of 15 observations and necessitates a 95% confidence approximation for μ, the correct t-value is 1.753.
Answer: False | Category: Analytical; Hypothesis Testing
4. When a sample comprises 18 observations and requires a 90% confidence estimate for μ, the correct t-value is 1.740.
Answer: True | Category: Analytical; Hypothesis Testing
5. The statistic follows a Student t-distribution with n degrees of freedom when the sampled population is normal.
Answer: False | Category: Analytical; Hypothesis Testing
6. If the sampled population is non-normally distributed, the t-test for the population mean μ remains applicable unless the condition is extremely severe.
Answer: True | Category: Analytical; Hypothesis Testing
7. A racing driver conducted 20 tests for the time taken from 0 to 60 mph, yielding an average of 48.5 seconds with a standard deviation of 1.47 seconds. A 95% confidence interval for the 0 to 60 time ranges from 45.2 seconds to 51.8 seconds.
Answer: False | Category: Analytical; Hypothesis Testing
8. When establishing a 95% confidence interval for a population mean from a sample size of 20, the degrees of freedom from the t-distribution do not equal 20.
Answer: False | Category: Analytical; Hypothesis Testing
9. The t-distribution is employed in constructing a confidence interval for a mean when the exact standard error is unknown.
Answer: True | Category: Analytical; Hypothesis Testing
10. The t-distribution does not allow for the computation of confidence intervals for means in small samples when the population variance is unidentified, irrespective of the population distribution shape.
Answer: False | Category: Analytical; Hypothesis Testing
11. The t-distribution is utilized to formulate a confidence interval estimation for the population mean when the population standard deviation is undisclosed.
Answer: True | Category: Analytical; Hypothesis Testing
12. The t-distribution assumes a normal distribution within the population.
Answer: True | Category: Analytical; Hypothesis Testing
13. When estimating the population mean with an unknown population standard deviation and a sample size of 16, there are not 8 degrees of freedom.
Answer: False | Category: Analytical; Hypothesis Testing
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