Calculate the standard deviation, Advanced Statistics

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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?


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