SOLUTION: A restaurant association says the typical household spends a mean of $3568 per year on food away from home. You randomly select 12 households and find out how much each spent on f

Question 895602: A restaurant association says the typical household spends a mean of $3568 per year on food away from home. You randomly select 12 households and find out how much each spent on food away from home per year. Can you reject the restaurant association's claim at alpha=0.01? Complete parts a - d.
3678 2205 2444 1917 2295 3456 3900 4267 3004 3157 3233 4510
Write the claim mathematically and identify Ho and Ha. Choose the correct answer
A Ho U = 3422 (claim)
Ha U > 3422
B)Ho > 3422 (Claim)
Ha C ho U > with line under Claim
Ha <
D U = Claim
U =/=
E U =
U < Claim
F U =/=
U = Claim
B) Find the P-value
C Fail to reject or Reject Ho
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A restaurant association says the typical household spends a mean of $3568 per year on food away from home. You randomly select 12 households and find out how much each spent on food away from home per year. Can you reject the restaurant association's claim at alpha=0.01?
---------------------------------------------
Complete parts a - d.
3678 2205 2444 1917 2295 3456 3900 4267 3004 3157 3233 4510
Write the claim mathematically and identify Ho and Ha.
---------------------------------------------
The correct answer
A
Ho: u = 3568 (claim)
Ha: u # 3568
-----
x-bar = 3172
-----
t(3172) = (3172-3568)/[836.52/sqrt(12)] = -1.6399
-------------------------------
B) Find the P-value
p-value = 2*P(-100,-1.6399 when df = 11) = 2*tcdf(-100,-1.6399,11) = 0.1293
-------------------------
C Fail to reject or Reject Ho
Since the p-value is greater than 1% fail to reject Ho.
---------------------
Cheers,
Stan H.
---------------------
RELATED QUESTIONS
A restaurant association says the typical household spends a mean of $3568 per year on... (answered by stanbon)

Suppose the amount of healing oil used annually by household in Ontario is normally... (answered by ikleyn)

Joanne works at a fast food restaurant and earns $20 per week. Every two weeks she spends (answered by fractalier,stanbon)

The average Kenyan family of four spends KES 500000 per year on food prepared at home.... (answered by ikleyn)

Hi! I have two questions that I'm pretty stumped on. Today a typical family of four... (answered by ewatrrr)

Suppose the amount of heating oil used annually by households in Ontario is normally... (answered by Theo)

Translating research questions into hypotheses. Translate each of the following research... (answered by Boreal)

a survey of 97 randomly selected homeowners found the the mean amount spent on lawn... (answered by stanbon)

The mean amount spent by a family of four on food per month is $500, with a standard... (answered by ewatrrr)