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KonradZuse
 3 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 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.
KonradZuse
 3 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 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.

This Question is Closed

KonradZuse
 3 years ago
Best ResponseYou've already chosen the best response.0The only significance levels I know of are 0.010 and 0.05.. A?

KonradZuse
 3 years ago
Best ResponseYou've already chosen the best response.0or how do you solve for the levels?!

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

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1there are 16 items in the sample, so n = 16

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1PValue: 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

KonradZuse
 3 years ago
Best ResponseYou've already chosen the best response.0Then I'm confused.. :(

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1you reject H0 if alpha = 0.05 or alpha = 0.10

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

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1it's showing the p value

KonradZuse
 3 years ago
Best ResponseYou've already chosen the best response.0So how do we test the other levels?

KonradZuse
 3 years ago
Best ResponseYou've already chosen the best response.0Damn I'm in trouble... 4 Q's in 30 mins..... :(

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1"test the other levels"?

KonradZuse
 3 years ago
Best ResponseYou've already chosen the best response.0The Sig levels, for B, C and D?

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1oh, 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

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1but not at 0.025 since 0.03197 is not less than 0.025, so the answer is B

KonradZuse
 3 years ago
Best ResponseYou've already chosen the best response.0:) NEXT Q GOGOG FAST!
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