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KonradZuse Group Title

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.

  • one year ago
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  1. KonradZuse Group Title
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    @jim_thompson5910

    • one year ago
  2. KonradZuse Group Title
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    The only significance levels I know of are 0.010 and 0.05.. A?

    • one year ago
  3. KonradZuse Group Title
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    or how do you solve for the levels?!

    • one year ago
  4. jim_thompson5910 Group Title
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    Test Statistic: t = (xbar-mu)/(s/sqrt(n)) t = (13.88-14)/(0.24/sqrt(16)) t = -2

    • one year ago
  5. KonradZuse Group Title
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    n = 16 or 14?

    • one year ago
  6. jim_thompson5910 Group Title
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    there are 16 items in the sample, so n = 16

    • one year ago
  7. KonradZuse Group Title
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    ic ic ok..

    • one year ago
  8. jim_thompson5910 Group Title
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    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

    • one year ago
  9. KonradZuse Group Title
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    SO... A!

    • one year ago
  10. jim_thompson5910 Group Title
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    no

    • one year ago
  11. KonradZuse Group Title
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    Then I'm confused.. :(

    • one year ago
  12. jim_thompson5910 Group Title
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    you reject H0 if alpha = 0.05 or alpha = 0.10

    • one year ago
  13. KonradZuse Group Title
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    Ic so A is false then. I'm not sure what Wolfram is exactly showing us....?

    • one year ago
  14. jim_thompson5910 Group Title
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    it's showing the p value

    • one year ago
  15. KonradZuse Group Title
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    Ic hmm...

    • one year ago
  16. KonradZuse Group Title
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    So how do we test the other levels?

    • one year ago
  17. KonradZuse Group Title
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    Damn I'm in trouble... 4 Q's in 30 mins..... :(

    • one year ago
  18. jim_thompson5910 Group Title
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    "test the other levels"?

    • one year ago
  19. KonradZuse Group Title
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    The Sig levels, for B, C and D?

    • one year ago
  20. jim_thompson5910 Group Title
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    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

    • one year ago
  21. KonradZuse Group Title
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    Oh, so B?

    • one year ago
  22. jim_thompson5910 Group Title
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    but not at 0.025 since 0.03197 is not less than 0.025, so the answer is B

    • one year ago
  23. jim_thompson5910 Group Title
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    yeah

    • one year ago
  24. KonradZuse Group Title
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    :) NEXT Q GOGOG FAST!

    • one year ago
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