Question

ey were compared by recording wrist extension in degrees for 24 people who each used both mouse designs. The difference in wrist extension was calculated by subtracting extension for mouse type from the wrist extension for mouse type A for each person. The mean difference was reported to be 0.02 degrees. Assume that this sample of 24 people is representative of the population of computer users USE SALT (a) Suppose that the standard deviation of the differences was 14 degrees. Is there cannong evidence that the mean wist extension for mouse type A is greater than for mouse type ? Test the relevant hypotheses using a 0.0 Caricance level ( UMA) State the appropriate null and alternative hypotheses O Moi Hoo Hot Mo O Moi - 0 Ha Ha O Ho: > 0 #, Ag = 0 Hol M=0 Mod > 0 O Ho: Maco HHd > 0 Find the test statistic and p-value. (Use a table or SALT. Round your test statistic to one decimal place and your p-value to three decimal places)

Answer 1

(a) H₀: µ_d = 0

H_a: µ_d > 0

t = 3.1

P-value = 0.003

Option C

(b) H₀: µ_d = 0

H_a: µ_d > 0

t = 1.4

P-value = 0.088

Option D

(c) Option B

8.82	x		8.82	x
31	s		14	s
24	n		24	n
6.327849	se		2.857738	se
1.4	t		3.1	t
0.088	p		0.003	p