I a T Test Is Used to Test the Significance

question 98

Multiple Choice

i. A t test is used to test the significance of the coefficient of correlation.
ii. When testing the strength of the relationship between two variables, the alternate hypothesis is:
H0: ρ ≠ 0.
iii. Suppose a sample of 15 homes recently sold in your area is obtained. The correlation between
The area of the home, in square feet, and the selling price is 0.40. We want to test the hypothesis
That the correlation in the population is zero versus the alternate that it is greater than zero. You
Determine that the rejection region should fall in the lower tail if this is a one-tailed test and we use
A 0) 01 significance level.

• A) (i), (ii), and (iii) are all correct statements.
• B) (i) and (ii) are correct statements but not (iii).
• C) (i) and (iii) are correct statements but not (ii).
• D) (ii) and (iii) are correct statements but not (i).
• E) (i), (ii), and (iii) are all false statements.

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Definitions:

Interquartile Range

The difference between the 75th and 25th percentiles of a dataset, representing the spread of the middle 50% of the data.

Tchebysheff's Theorem

A statistical theorem stating that for any distribution, the proportion of outcomes within k standard deviations of the mean is at least 1-1/k^2 for k>1.

Measure Of Shape

Statistical indicators that describe how a dataset is distributed along the axis, including skewness and kurtosis, which indicate asymmetry and the peakedness of the data distribution, respectively.

Tchebysheff's Theorem

A statistical rule that provides a minimum probability of outcomes within a certain number of standard deviations from the mean in any distribution.