Question

In: Statistics and Probability

1. The following 10 numbers were drawn from a population. Is it likely that these numbers...

1. The following 10 numbers were drawn from a population. Is it likely that these numbers came from a population with a mean of 13? Evaluate with a two-tailed test at p < .05.

5, 7, 7, 10, 10, 10, 11, 12, 12, 13

a. State both in words, and then symbolically what your H1 and H0 would be.

b. What is your df? What is your critical t?

c. Calculate t

d. Based on the above information, would you reject H0, or fail to reject it? Why? How would you state your conclusion in words?

e. Bonus Credit: Calculate the 95% confidence interval for the alternative hypothesis distribution.

Solutions

Expert Solution

first we will calculate the mean and standard deviation of the sample

Based on the result above we have evidence that these numbers came from a population with a mean different than 13.

e)

clearly 13 does not lie within the interval.

orchestra answered 1 year ago
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