Answer:
Step-by-step explanation:
Sample data
204.999 206.149 202.102 207.048 203.496 206.343 203.496 206.676 205.831
N=9
Sum, Σx: 1846.14
Mean, μ: 205.12666666667
Variance, s^2: 2.6217475555555
Std dev = s = 1.619
The sample mean follows a t distribtion with df =8
Mean difference = 205.13-204.8 = 0.50
Std error = std dev/sqrt n = 0.540
Test statistic = Mean diff/se = 0.9259
p value = 0.1907 (one tailed at 95%)
Since p >0.05 we accept null hypothesis.
We cannot conclude that the mean shade of Mezza Perla tile (µ) is greater than 204.8
Part A: There are five buttons in all in all in the given item. The item above can be answered through the fundamental principles of counting.
There are 5 items to choose from during the first pick. Because the shape can be returned and picked again, there are also 5 items to choose from in the second pick. Multiplying them,
n = 5 x 5 = 25
Therefore, the sample size for the compound event is equal to 25.
Part B: The same concept can be used in this part of the item; however, instead of 5 there are 6 buttons to choose from.
n = 6 x 6 = 36
Hence, the sample size of this picking process is 36.
