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.
The equation given is –2x – 4 + 5x = 8, and the task is to find the value of x. To start, combine like terms and reorganize the equation:
-2x + 5x = 8 + 4
Next, simplify both sides:
3x = 12
Divide both sides by 3 to isolate x:
x = 4.
Therefore, the solution for x is 4.
Answer:
We have the following details:
Confidence level = 99%. Hence, the critical value at a 0.01 significance level is provided below:
The margin of error is mentioned in the question as:
Since we lack information about the previous proportion, we need to assume 
.
Therefore, the required sample size is:
Thus, it requires 664 sample observations.
