Assume that a simple random sample has been selected and tes

Assume that a simple random sample has been selected and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim Listed below are brain volumes in cm3 of unrelated subjects used in a study. Use a 0.01 significance level to test the claim that the population of brain volumes has a mean equal to 1100.6 cm3 963 1027 1271 1079 1071 1172 1066 1346 1099 1205 What are the hypotheses? (y B. Ho: = 1100.6 cm 3 Ha #1100.6 cm3 Ho: = 1100.6 cm3 Ha 2 1100.6 cm3 OA. HOP#1100.6 cm3 H1: = 1100.6 cm3 Ho: = 1100.6 cm3 H1:

Solution

Data : [ 963,1027,1271,1079, 1071,1172, 1066,1346, 1099,1205]

Population mean = 1100.6

Sample mean X = 1129.9

Sample SD = 117.17

n=17

t = (X - Mean) / (SD/sqrt(n))

t = ( 1129.9 - 1100.6 ) / (117.17/sqrt(10))

= 0.791 Answer

Degree of freedom = 10 -1 = 9

alpha =0.01

This is a two tailed test,

Therefore,

From T table ,

P -alue = 0.4494 Answer

Since , P > 0.01

Failed to reject null hypothesis.