Question

Two proposed computer mouse designs were compared by recording wrist extension in degrees for 24 people who each used both mouse designs.t The difference in wrist extension was calculated by subtracting extension for mouse type B from the wrist extension for mouse type A for each person. The mean difference was reported to be 8.82 degrees. Assume that this sample of 24 people is representative of the population of computer users. (a) Suppose that the standard deviation of the differences was 14 degrees. Is there convincing evidence the mouse type B? Test the relevant hypotheses using a 0.05 significance level. (Use ugA-a) the mean v wrist extension for mouse type A is greater than for State the appropriate null and alternative hypotheses. H o O Hoi Ha0 H g 0 H aO O Ho Hg 0 Find the test statistic and P-value. (Use a table or technology. Round your test statistic to one decimal place and your P-value to three decimal places.) Pvalue State the conclusion in the problem context. O We reject H There is convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. We reject H There is not convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. We fail to reject H. There is not convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B We fail to reject H There is convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. (b) Supeose that the standard deviation of the differences was 40 degrees. Is there convincing evidence that the mean wrist extension for mause type A is greater than for mouse type 87 Test the relevant hypotheses using a 0.05 significance level. (Use u" -Ma) State the appropriate nul and alternative hypotheses.

Answer 1

Fotuto Giver Sarople n) Mear diffexOnce Cd) 8.82 devia tHon of diffesence (8) :I4 Standard Giver 005 bypotgis Nun 8.80 Test StotsH c 8.89 d.857138033 3.0863506 df:n- 3 df &3 P-Value 0 003 (vigtai P-Value Heve We oject Ho. Ne veieci to hee is convincino eviderre fat the mean Extenston fos is qreates than tor mouse type B mouse A

Given Standand deuioHo of difeienxe (5) 40 bypotsis Nu! bypo theis Ha >o Attora tivo Statistics Ct) Tost SNO 8.88 8.164965809 0803497 T (right- to) p-Value p-Value :0 05 tte deult iS not Signifol fail to xejert conviocing Evidenre tot the Theve iS not aiSt etension for type A OpHon he lae test StaHSHc in a diti of -82, deqre coo di ffeence mean bo Obsesved oben tmn nhen t cons un- HP 7