Hi your answer would be 6 1/2 vials of pixie dust!
Answer:
Th computed value of the test statistic is 3.597
Step-by-step explanation:
The null and the alternative hypothesis is as follows:
Null Hypothesis:
the population correlation coefficient is equal to zero
the population correlation coefficient is not equal to zero
The test statistics for Pearson correlation coefficient is thus computed as :

where;
r = correlation coefficient = 0.60
n = sample size = 25
So;



t = 3.597
Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069
Decision Rule:
Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.
Conclusion:
We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.
Write and solve an equation of ratios:
6 inches 1 inch
-------------- = ------------
60 inches x
Cross-multiplying, 6x = 60, so x = 10 inches (answer)
2. random samples are the least biased samples.
Answer:
$95777.5
Step-by-step explanation:
change 7% to decimal = .07
91,000 * .07 = 5370 (annual interest)
5370 / 12 = 530.83 (monthly interest)
530.83 * 9 = 4777.5 (9 months interest)
91,000 + 4777.5 = 95777.5 (initial + 9 months interest)