Question

The International Dairy Foods Association (IDFA) believes that the average daily amount of calcium that teenagers consume is greater than 1000 mg. A random sample of 40 teenagers had an average of 1011 mg. The population standard deviation is known to be equal to 31.5 mg. Test to see if the average daily amount of calcium that teenagers consume is greater than 1000 mg by using α = 0.025.

a 1-6) Give the hypotheses for H₀ (a1, a2 and a3) and H₁ (a4, a5 and a6)

H₀
a1) µ or p

µpClick for List   
a2) =, ≥, ≤

=≥≤Click for List   
a3)

  

H₁
a4) µ or p

µpClick for List   
a5) ≠, >, <

≠&gt;&lt;Click for List   
a6)

b) Calculate the test statistic. z = _________ (Round your answer to 3 decimals.)

c 1-3) Formulate the decision rule for the p value approach.

Reject H₀ if (c1,c2,c3)

c1) z or p

zpClick for List  
c2) < or >

&lt;&gt;Click for List  
c3)

  

d 1-2) Give the p value (d1 - round to 3 decimals) and make a decision (d2).
d1)

d2) reject Ho or do not reject Ho

Reject HoDo not reject HoClick for List   

e1-2) Give your conclusion. At α = ._____, there (is/is not) enough evidence to conclude that the average daily amount of calcium that teenagers consume is greater than 1000 mg.
e1) number

e2) (is or is not)

Answer 1