a) These samples are dependent, as measurements are taken from the same individuals at different times using different methods. b) Upon examining the QQ plot, it shows no considerable deviations suggesting a normal distribution assumption for the differences. c) For the hypotheses indicated, a paired t-test is suitable due to the repeated measurements. Evaluating the p-value reveals it exceeds the significance threshold, leading to the conclusion that we FAIL to reject the null hypothesis, thus indicating that the mean difference is not significantly different from 0.
a) This represents a geometric sequence. b) c) The salary at the beginning of the fifth year will be $46,945.21. To clarify, my starting salary is $37,185. Should I receive a 6% raise each year, the salary for the following year will be: $37,185 x 1.06 = $39,416.10. Consequently, the salary after the second year will be: $39,416.10 x 1.06 = $41,781.07. Hence, the salary sequence will look like: $37,185, $39,416.10, $41,781.07, and so forth, demonstrating a consistent ratio of r = 1.06 for each term.
<span>cy + 3 = 6d - 2y
cy + 2y = 6d - 3
(c + 2)y = 6d - 3
y = (6d - 3)/(c + 2)</span>
100 plus 70 equals 170
170 divided by 10 equals 17
That makes 17 trains of 10 cubes