Assume that a simple random sample has been selected and test the given claim. I
ID: 3293115 • Letter: A
Question
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 cm cubedcm3 of unrelated subjects used in a study. Use a 0.05 significance level to test the claim that the population of brain volumes has a mean equal to 1099.2 cm cubed. 963 1026 1271 1078 1070 1174 1067 1348 1100 1203
What are the hypotheses?
Identify the test statistic.
The P-value is
State the final conclusion that addresses the original claim. Choose the correct answer below.
Explanation / Answer
Hypothesis;
H0 : mu = 1099.2
Ha : mu not equal to 1099.2
Test statistic:
n =10 , x = 1130 , s = 117.64
t = ( x - mean) / ( s/sqrt(n))
= ( 1130 - 1099.2) / ( 117.64/sqrt(10))
= 0.8279
P value is calculated using t = 0.8279 , df = 9
P value = .429133.
Here, we fail to reject the null hypothesis because p value is greater than 0.05 significance level.