Are these data sufficient to conclude that the herb has a statistically significant effect using two tailed test with α =.05? Be sure to show all formulas with symbols (and plug in numbers), steps, processes and calculations for all parts of all answers (including how you arrived at the critical value).  b.What decision would be made if the researcher used a one tailed test with α=.05?(assume that the herb is expected to increase scores) Be sure to show all formulas with symbols (and plug in numbers), steps, processes and calculations for all parts of all answers (including how you arrived at the critical value)

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he herbal supplement ginkgo biloba is advertised as producing an increase in physical strength and stamina. To this claim, a sample of n=45 adults is obtained and each person is instructed to take regular daily of the herb for a period of 30 days. At the end of 30 days, each person is tested on a standard treadmill task for which the average, age adjusted score is µ=15. The individuals in the sample produce a mean score of M=17.9 with SS=1130.

a. Are these data sufficient to conclude that the herb has a statistically significant effect using two tailed test with α =.05? Be sure to show all formulas with symbols (and plug in numbers), steps, processes and calculations for all parts of all answers (including how you arrived at the critical value). 
b.What decision would be made if the researcher used a one tailed test with α=.05?(assume that the herb is expected to increase scores) Be sure to show all formulas with symbols (and plug in numbers), steps, processes and calculations for all parts of all answers (including how you arrived at the critical value). 

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