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BYU Statistics Final Exam (#4)
BYU Independent Stats 121 - Final Exam
71
Mathematics
Undergraduate 4
04/15/2011

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Term
1. The mean of the sampling distribution of pˆ. (p-hat)
Definition
1. What is p.
Term
2. The standard deviation of the sampling distribution of pˆ. (p-hat)
Definition
2. What is the square root of p (1-p) over n.
Term
3. The standard error of pˆ (p-hat) used in a confidence interval.
Definition
3. What is the square root of p-hat (1-p-hat) over n.
Term
4. When testing H0: p = 0.8 with n = 100, the value of the standard deviation of pˆ (p-hat) assuming the null
is true.
Definition
4. What is the square root of p (1-p) over n = the square root of .8(1-.8) over 100 =.04
Term
5. The shape of the sampling distribution of pˆ (p-hat) when the sample is large (i.e., np ≥ 10 and n(1 – p)≥
10) and random.
Definition
5. What is approximately Normal.
Term
1. z* times the square root of p-hat times (1-pˆ[p-hat]) over / n
Definition
1. What is the formula for margin of error for estimating population proportion, p.
Term
2. SRS and np0 (p-naught) ≥ 10 and n(1 – p0 [p-naught]) ≥ 10.
Definition
2. What are the checks you need to make when testing H0: p = p0.
Term
3. SRS and npˆ ≥ 10 and n(1 – pˆ) ≥ 10.
Definition
3. What are the checks you need to make when constructing a confidence interval for p. Note: “10” is the number to remember for the final. You actually should use “15”.
Term
4. Another name for the marginal proportion of success in a 2x2 two-way table used in the
denominator of the two-sample z test statistic for proportion.
Definition
4. What is pooled sample proportion.
Term
5. np ≥ 10 and n(1 – p) ≥ 10.
Definition
5. What are the checks to determine whether the sampling distribution of pˆ has an approximately Normal shape.
Term
1. The probability of getting a value of the test statistic as extreme or more extreme than the value actually observed assuming H0 is true.
Definition
1. What is P-value.
Term
2. How P-value and α compare when results are declared statistically significant.
Definition
2. What is P-value < α.
Term
3. The conditional clause in a correct definition of P-value.
Definition
3. What is “If H0 is true.”
Term
4. How you determine whether results of a test are statistically significant.
Definition
4. What is checking whether P-value < α.
Term
5. How you determine whether results of a test are also practically significant.
Definition
5. What is checking the numerator of the test statistic and asking if the difference is important or has meaning.
Term
6. A difference between the observed statistic and the claimed parameter value that is too large to be
due to chance.
Definition
6. What is statistically significant.
Term
7. The hypothesis that is assumed to be true until sample results indicates otherwise.
Definition
7. What is H0, the null hypothesis.
Term
8. The hypothesis that the researcher usually wants to prove.
Definition
8. What is Ha, the alternative hypothesis.
Term
9. What is checked for practical significance.
Definition
9. What is the numerator of the test statistic.
Term
10. The probability that the null hypothesis is true.
Definition
10. What is zero or one depending on whether the null is correct or not. This is a misconception.
Term
11. How P-value and α compare when results are declared NOT statistically significant.
Definition
11. What is P-value > α.
Term
12. How P-value and α compare when results are declared NOT statistically significant.
Definition
12. What is H0, the null hypothesis.
Term
13. The probability of obtaining a value of the test statistic as extreme or more extreme than observed if H0 were true.
Definition
13. What is P-value.
Term
14. The conditions under which we check for practical significance.
Definition
14. What is whether the test is significant.
Term
15. The probability of rejecting a false null hypothesis.
Definition
15. What is power.
Term
1. The maximum amount that a statistic will differ from the value of the parameter it estimates for the middle (1 – C)x100% of the statistics.
Definition
1. What is margin of error.
Term
2. An estimate of a parameter in interval form with an associated level of confidence.
Definition
2. What is a confidence interval.
Term
3. A range of reasonable values for the population parameter being estimated.
Definition
3. What is a confidence interval.
Term
4. The percent of the time that the confidence interval estimation procedure gives confidenceintervals that contain the value of the parameter.
Definition
4. What is level of confidence.
Term
5. The value found in a confidence interval that leads to failing to reject H0.
Definition
5. What is the claimed parameter value.
Term
1. The name of s over the square of n.
Definition
1. What is standard error of x-bar.
Term
2. An estimate of the standard deviation of the sampling distribution of x-bar.
Definition
2. What is s over the square root of n , the standard error of x-bar.
Term
3. The name for α.
Definition
3. What is level of significance.
Term
4. An estimate of the standard deviation of the sampling distribution of pˆ (p-hat).
Definition
4. What is the square root of p-hat(1-p-hat ) over n, , the standard error of pˆ(p-hat).
Term
5. The symbol for the mean of the sample of differences in a matched pairs t procedure.
Definition
5. What is d-bar or x-bar.
Term
6. The standard error of x-bar 1 minus x-bar 2.
Definition
6. What is the square root of s 1 squared over n 1 plus s 2 squared over n 2.
Term
1. H0: μ1 = μ2 or H0: μ1 – μ2 = 0
Definition
1. What is the null hypothesis for a two-sample t test.
Term
2. The smaller of n1 – 1 and n2 – 1.
Definition
2. What are degrees of freedom for a conservative two-sample t test.
Term
3. The value you look for in a confidence interval for μ1 – μ2 in order to test H0: μ1 = μ2.
Definition
3. What is zero
Term
4. The square root of s 1 squared over n 1 plus s 2 squared over n 2.
Definition
4. What is the standard error of x-bar 1 minus x-bar 2.
Term
5. When to use a two-sample t procedure instead of a matched pairs t.
Definition
5. When the two samples are independent (completely separate).
Term
1. All expected counts are greater than or equal to 5.
Definition
1. What is the size that the expected counts need to be for appropriately performing a chi-square test?
Term
2. H0: p 1 = p 2 = p 3 = p 4 versus Ha: not all proportions are equal.
Definition
2. What are the hypotheses for chi-square test of homogeneity for comparing equality of three proportions?
Term
3. (r –1) times (c –1)
Definition
3. What are the degrees of freedom for a chi-square test?
Term
4. H0: No association between the explanatory and response variables versus Ha: Association between explanatory and response variables.
Definition
4. What are the hypotheses for chi-square test of independence?
Term
5. Row Total times Column Total over Table Total computed assuming no association between row and column variables.
Definition
5. What is the expected count?
Term
1. An analysis procedure for comparing equality of three or more means.
Definition
1. What is ANOVA.
Term
2. H0: μ1 = μ2 = μ3 = μ4 versus Ha: not all means are equal.
Definition
2. What are the hypotheses for comparing four means in an ANOVA procedure.
Term
3. The largest standard deviation divided by the smallest standard deviation is less than 2.
Definition
3. What is the check for the equal variance condition in ANOVA.
Term
4. Random allocation of individuals to treatments or random selection of individuals from independent populations.
Definition
4. What are two ways of appropriate data collection for ANOVA.
Term
5. A confidence interval for μA and a confidence interval for μB that do not overlap.
Definition
5. What are two confidence intervals giving evidence that μA and μB differ significantly.
Term
1. A megaphone pattern in the residual plot.
Definition
1. What indicates a violation of equal variance condition for inference in regression in a residual plot?
Term
2. Time in minutes that an icicle has grown explains 99.2% of the variability in icicle length.
Definition
2. What is an interpretation of r2 in context for the relationship between time in minutes that an icicle grows and the length of the icicle.
Term
3. The line with the minimum sum of square residuals.
Definition
3. What is the least squares line.
Term
4. A shoe-box pattern in a residual plot.
Definition
4. What is the pattern in a residual plot indicating no violations of conditions for inference in regression?
Term
5. Confidence interval for the mean of the y’s at x* is narrower than the prediction interval for an individual y at x*.
Definition
5. What is how a confidence interval for the mean of the y’s at x* compare with a prediction interval for an individual y at x*.
Term
6. Regression symbols α and β.
Definition
6. What are parameter symbols for the true y-intercept and true slope.
Term
7. A measure of the variation of the y’s about the regression line.
Definition
7. What is “s” in a regression output.
Term
8. Estimated slope plus or minus t* (standard error of slope).
Definition
8. What is the formula for confidence interval for slope.
Term
9. Velocity increases by 274 feet per second on average for every one inch increase in thickness of the cylinder wall.
Definition
9. What is an interpretation of slope in context.
Term
10. Regression symbols: a and b.
Definition
10. What are symbols for estimated y-intercept and slope.
Term
1. A study that establishes a cause and effect relationship between the explanatory and response variables.
Definition
1. What is a comparative experiment with randomization and replication?
Term
2. Appropriate statistical conclusion when using the 95% confidence interval for μ1 – μ 2, namely, using the interval (–2.23, 1.17) to test H0: μ1 – μ2 = 0.
Definition
2. What is failing to reject the null hypothesis since zero is contained in the interval.
Term
3. μ1 – μ 2.
Definition
3. What is the parameter for comparing two population means.
Term
4. p1 – p 2.
Definition
4. What is the parameter for comparing two population proportions.
Term
5. Procedure for analyzing data where both the explanatory variable and the response variable are categorical and one or the other has three or more categories.
Definition
5. What is chi-square.
Term
6. Procedure for analyzing data where the explanatory variable is categorical with three or more categories and the response variable is quantitative.
Definition
6. What is ANOVA.
Term
7. Procedure for analyzing data where both the explanatory variable and the response variable are quantitative.
Definition
7. What is regression analysis.
Term
8. Procedure for analyzing data where the explanatory variable is categorical with only two categories and the response variable is quantitative.
Definition
8. What is a two-sample t procedure.
Term
9. Procedure for analyzing data where both the explanatory variable and the response variable are categorical and both have only two categories.
Definition
9. What is a two-sample z procedure for proportion.
Term
10. Random allocation of individuals to treatments or random selection of individuals from independent populations.
Definition
10. What are the two appropriate methods of data collection for inference.
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