tassociation clans tat mean anu\" ost offood for dogs and cat\"o he sarne. The-
ID: 3265888 • Letter: T
Question
tassociation clans tat mean anu" ost offood for dogs and cat"o he sarne. The- its for samples for the types of pets are shown below Ata·0.01, can you niet he pet association's dain? Assume population variances are not equal Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below Which is the correct lam below A. The mean annual oost of food for dogs is greater than the ost for cats B. "The "san wnual offood for dogs and cats not equal. OC. "The mean annae costs of food for dogs and cats are equa . D, me mean anual coat of foodfcr cat"greater than the cost for dogs. What are Ho and H, O The nul hypothesis, HExplanation / Answer
Solution:
alpha = 0.01
n1 = 15 , xbar1 = 222, s1 = 39
n2 = 9 , xbar2 = 187, s2 = 35
Test Hypothesis:
H0: 1 = 2
H1: 1 2
standard error, SE = sqrt((s1^2/n1)+(s2^2/n2))
SE = sqrt((39^2/15) + (35^2/9)) = 15.41139
test statistic, t = (xbar1-xbar2) / SE
t = (222-187) / 15.41139 = 2.271
degree of freedom = min(n1-1,n2-1) = min(14,8)
df = 8
critical value = ±t(/2,df)) = ± t(0.005, 8)
critical value,t0 = ± 3.355
.
Rejection region:
t < -3.355, t > 3.355
since t lies in the interval (-3.355, 3.355) hence H0 can not be rejected
so we conclude that the mean annual cost of food for dogs and cats are the same.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.