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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 164
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
 one year ago
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 164 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
 one year ago

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KonradZuse Group TitleBest ResponseYou've already chosen the best response.0
@jim_thompson5910
 one year ago

KonradZuse Group TitleBest ResponseYou've already chosen the best response.0
The only significance levels I know of are 0.010 and 0.05.. A?
 one year ago

KonradZuse Group TitleBest ResponseYou've already chosen the best response.0
or how do you solve for the levels?!
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
Test Statistic: t = (xbarmu)/(s/sqrt(n)) t = (13.8814)/(0.24/sqrt(16)) t = 2
 one year ago

KonradZuse Group TitleBest ResponseYou've already chosen the best response.0
n = 16 or 14?
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
there are 16 items in the sample, so n = 16
 one year ago

KonradZuse Group TitleBest ResponseYou've already chosen the best response.0
ic ic ok..
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
PValue: 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%2810%2C2%2C15%29
 one year ago

KonradZuse Group TitleBest ResponseYou've already chosen the best response.0
SO... A!
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
no
 one year ago

KonradZuse Group TitleBest ResponseYou've already chosen the best response.0
Then I'm confused.. :(
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
you reject H0 if alpha = 0.05 or alpha = 0.10
 one year ago

KonradZuse Group TitleBest ResponseYou've already chosen the best response.0
Ic so A is false then. I'm not sure what Wolfram is exactly showing us....?
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
it's showing the p value
 one year ago

KonradZuse Group TitleBest ResponseYou've already chosen the best response.0
Ic hmm...
 one year ago

KonradZuse Group TitleBest ResponseYou've already chosen the best response.0
So how do we test the other levels?
 one year ago

KonradZuse Group TitleBest ResponseYou've already chosen the best response.0
Damn I'm in trouble... 4 Q's in 30 mins..... :(
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
"test the other levels"?
 one year ago

KonradZuse Group TitleBest ResponseYou've already chosen the best response.0
The Sig levels, for B, C and D?
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
oh, the pvalue 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

KonradZuse Group TitleBest ResponseYou've already chosen the best response.0
Oh, so B?
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
but not at 0.025 since 0.03197 is not less than 0.025, so the answer is B
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
yeah
 one year ago

KonradZuse Group TitleBest ResponseYou've already chosen the best response.0
:) NEXT Q GOGOG FAST!
 one year ago
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