KonradZuse
  • KonradZuse
Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. Net weights actually vary slightly from bag to bag and are Normally distributed with mean μ. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised and so intends to test the hypotheses H0: μ = 14, Ha: μ < 14. To do this, he selects 16 bags of this brand at random and determines the net weight of each. He finds the sample mean to be = 13.88 and the sample standard deviation to be s = 0.24. Reference: Ref 16-4 Based on these data, A. we would reject H0 at significance level 0.10 but not at 0.05. B. we would reject H0 at significance level 0.05 but not at 0.025. C. we would reject H0 at significance level 0.025 but not at 0.01. D. we would reject H0 at significance level 0.01.
Statistics
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SOLVED
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chestercat
  • chestercat
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KonradZuse
  • KonradZuse
@jim_thompson5910
KonradZuse
  • KonradZuse
The only significance levels I know of are 0.010 and 0.05.. A?
KonradZuse
  • KonradZuse
or how do you solve for the levels?!

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More answers

jim_thompson5910
  • jim_thompson5910
Test Statistic: t = (xbar-mu)/(s/sqrt(n)) t = (13.88-14)/(0.24/sqrt(16)) t = -2
KonradZuse
  • KonradZuse
n = 16 or 14?
jim_thompson5910
  • jim_thompson5910
there are 16 items in the sample, so n = 16
KonradZuse
  • KonradZuse
ic ic ok..
jim_thompson5910
  • jim_thompson5910
P-Value: p = tcdf(-10,-2,15) = 0.03197 So you reject H0 if alpha = 0.05 or alpha = 0.10 http://www.wolframalpha.com/input/?i=tcdf%28-10%2C-2%2C15%29
KonradZuse
  • KonradZuse
SO... A!
jim_thompson5910
  • jim_thompson5910
no
KonradZuse
  • KonradZuse
Then I'm confused.. :(
jim_thompson5910
  • jim_thompson5910
you reject H0 if alpha = 0.05 or alpha = 0.10
KonradZuse
  • KonradZuse
Ic so A is false then. I'm not sure what Wolfram is exactly showing us....?
jim_thompson5910
  • jim_thompson5910
it's showing the p value
KonradZuse
  • KonradZuse
Ic hmm...
KonradZuse
  • KonradZuse
So how do we test the other levels?
KonradZuse
  • KonradZuse
Damn I'm in trouble... 4 Q's in 30 mins..... :(
jim_thompson5910
  • jim_thompson5910
"test the other levels"?
KonradZuse
  • KonradZuse
The Sig levels, for B, C and D?
jim_thompson5910
  • jim_thompson5910
oh, the p-value is 0.03197 so it's only significant if alpha is 0.05 or 0.10 so you're rejecting H0 if alpha is 0.05 or 0.10
KonradZuse
  • KonradZuse
Oh, so B?
jim_thompson5910
  • jim_thompson5910
but not at 0.025 since 0.03197 is not less than 0.025, so the answer is B
jim_thompson5910
  • jim_thompson5910
yeah
KonradZuse
  • KonradZuse
:) NEXT Q GOGOG FAST!

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