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Q. A toothpaste company want to know if its new product increases the length of time in-between dentist visit to its user. The company sets a target for 180 days to determine if its product prevents dentists' visits longer than other toothpaste. A random sample of 49 customers is taken with a mean of 186 days and standard deviation of 20. Set up a one tail test with an alpha equal to 0.05.
(2) Consider the computer output below:
Variable
N
Mean
Standard Deviation
O
x
15
8.69
?
0.443
(i) Calculate the missing value indicated by the question mark
(ii) Calculate a 95% confidence interval about the mean. What conclusion will you draw from this result
(iii) The example above is taken from an experiment done by a freight company that wanted to test the claim that deliveries were completed within 8 working days being sent. What conclusion can be drawn about delivery times?
The Null Hypothesis - H0: β0 = 0, H0: β 1 = 0, H0: β 2 = 0, Β i = 0 The Alternative Hypothesis - H1: β0 ≠ 0, H0: β 1 ≠ 0, H0: β 2 ≠ 0, Β i ≠ 0 i =0, 1, 2, 3
1) Let N1(t) and N2(t) be independent Poisson processes with rates, ?1 and ?2, respectively. Let N (t) = N1(t) + N2(t). a) What is the distribution of the time till the next epoch
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