Can someone please answer these questions that is due 4/26/18 @ 3pm please thank you. Chapter 6, Section 4-HT, Exercise 211 Use the t -distribution

Can someone please answer these questions that is due 4/26/18 @ 3pm please thank you.

Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal.

Test H0 : μA=μB

 vs Ha : μA≠μB

 using the fact that Group A has 8 cases with a mean of 125 and a standard deviation of 18 while Group B has 15 cases with a mean of 118 and a standard deviation of 14.

(a) Give the test statistic and the p-value.

Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.

test statistic = 

Enter your answer in accordance to item (a) of the question statement

p-value = 

Enter your answer in accordance to item (a) of the question statement

Do Hands Adapt to Water?

Researchers in the UK designed a study to determine if skin wrinkled from submersion in water performed better at handling wet objects.1 They gathered 20

 participants and had each move a set of wet objects and a set of dry objects before and after submerging their hands in water for 30

 minutes (order of trials was randomized). The response is the time (seconds) it took to move the specific set of objects with wrinkled hands minus the time with unwrinkled hands. The mean difference for moving dry objects was 0.85

 seconds with a standard deviation of 11.5

 seconds. The mean difference for moving wet objects was -15.1

 seconds with a standard deviation of 13.4

 seconds.

1Kareklas, K., Nettle, D., and Smulders, T.V., "2013 Waterinduced finger wrinkles improve handling of wet objects." Biol. Lett vol 9 (2013).

(a) Perform the appropriate test to determine if the wrinkled hands were significantly faster than unwrinkled hands at moving dry objects.

State the null and alternative hypotheses.

Use μ1

 for μd

 in the response area.

(b) Calculate the relevant test statistic.

Round your answer to two decimal places.

t

-statistic=

the absolute tolerance is +/-0.03

(c) Find the p

-value.

Round your answer to three decimal places.

p

-value =

the absolute tolerance is +/-0.1