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KonradZuse

  • 2 years ago

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.

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  1. KonradZuse
    • 2 years ago
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    @jim_thompson5910

  2. KonradZuse
    • 2 years ago
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    The only significance levels I know of are 0.010 and 0.05.. A?

  3. KonradZuse
    • 2 years ago
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    or how do you solve for the levels?!

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

  5. KonradZuse
    • 2 years ago
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    n = 16 or 14?

  6. jim_thompson5910
    • 2 years ago
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    there are 16 items in the sample, so n = 16

  7. KonradZuse
    • 2 years ago
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    ic ic ok..

  8. jim_thompson5910
    • 2 years ago
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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

  9. KonradZuse
    • 2 years ago
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    SO... A!

  10. jim_thompson5910
    • 2 years ago
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    no

  11. KonradZuse
    • 2 years ago
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    Then I'm confused.. :(

  12. jim_thompson5910
    • 2 years ago
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    you reject H0 if alpha = 0.05 or alpha = 0.10

  13. KonradZuse
    • 2 years ago
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    Ic so A is false then. I'm not sure what Wolfram is exactly showing us....?

  14. jim_thompson5910
    • 2 years ago
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    it's showing the p value

  15. KonradZuse
    • 2 years ago
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    Ic hmm...

  16. KonradZuse
    • 2 years ago
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    So how do we test the other levels?

  17. KonradZuse
    • 2 years ago
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    Damn I'm in trouble... 4 Q's in 30 mins..... :(

  18. jim_thompson5910
    • 2 years ago
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    "test the other levels"?

  19. KonradZuse
    • 2 years ago
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    The Sig levels, for B, C and D?

  20. jim_thompson5910
    • 2 years ago
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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

  21. KonradZuse
    • 2 years ago
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    Oh, so B?

  22. jim_thompson5910
    • 2 years ago
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    but not at 0.025 since 0.03197 is not less than 0.025, so the answer is B

  23. jim_thompson5910
    • 2 years ago
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    yeah

  24. KonradZuse
    • 2 years ago
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    :) NEXT Q GOGOG FAST!

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