Question

Please do as little intermediate rounding as possible in order to get the correct p-value.
On 81 occasions when Deadpool has to grow back a right arm, it takes on average 30 minutes (assume the standard deviation of all such occasions is 5 minutes). On 64 occasions when Deadpool has to grow back a left arm, it takes on average 32 minutes (assume the standard deviation of all such occasions is 6 minutes).
(a)Do we have evidence at the various levels that on average, Deadpool's right arm grows back more quickly than does his left arm?
The associated p-value for this hypothesis test is （ ）? (Answers to four places after the decimal.)

(i)At the 20% level (yes or no?)

(ii) At the 10% level (yes or no?)

(iii)At the 1% level (yes or no?)

(b)Do we have evidence at the various levels that on average, Deadpool's right and left arms take different lengths of time to grow back?
The associated p-value for this hypothesis test is ( )? (Answers to four places after the decimal.)

(i)At the 20% level (yes or no?)

(ii) At the 10% level (yes or no?)

(iii)At the 1% level (yes or no?)

Answer 1

Here we have x =81,01=30, n =5 2 =32p 2 =6, n2 =64 Hypotheses are: H:11-12 SO He:11-12 > 0 Test is right tailed. Level of significance: a =0.05 Test Statistics: (11-12)-(41 – 12) = ((81-32)-0)/(sqrt((900/5)+(36/64))) Oto =3.65 Vinn2

P-value: P-value=0.0001 Decision: Since p-value is less than level of significance so we reject the null hypothesis.

Excel function for p-value: =1-NORMSDIST(3.65)

(a)

(i)At the 20% level yes

(ii) At the 10% level yes

(iii)At the 1% level yes

(b)Do we have evidence at the various levels that on average, Deadpool's right and left arms take different lengths of time to grow back?

Here we need two tailed test so p-value of two tailed test is 2 * 0.0001 = 0.0002

(i)At the 20% level yes

(ii) At the 10% level yes

(iii)At the 1% level yes