Question

In: Statistics and Probability

Bags of a certain brand of tortilla chips claim to have a net weight of 14...

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.  A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised. To do this, he selects sixteen bags of this brand at random and determines the net weight of each; the sample mean is 13.82 ounces and the standard deviation is 0.32 ounces.

Based on this data, we would

A.

reject Ho at significance level 0.10 but not at 0.05.

B.

reject Ho at significance level 0.025 but not at 0.01.  

C.

reject Ho at significance level 0.01.

D.

reject Ho at significance level 0.05 but not at 0.025.

Solutions

Expert Solution


Related Solutions

Bags of a certain brand of tortilla chips claim to have a net weight of 14...
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...
Bags of a certain brand of tortilla chips claim to have a net weight of 14...
Bags of a certain brand of tortilla chips claim to have a net weight of 14 oz. Net weights actually vary slightly from bag to bag. Assume net weights are Normally distributed. 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 tortilla...
A manufacturer makes bags of popcorn and bags of potato chips. The average weight of a...
A manufacturer makes bags of popcorn and bags of potato chips. The average weight of a bag of popcorn is supposed to be 3.07 3.07 ounces with an allowable deviation of 0.05 0.05 ounces. The average weight of a bag of potato chips is supposed to be 5.03 5.03 ounces with an allowable deviation of 0.03 0.03 ounces. A factory worker randomly selects a bag of popcorn from the assembly line and it has a weight of 3.06 3.06 ounces....
Students investigating the packaging of potato chips purchased 6 bags of chips marked with a net...
Students investigating the packaging of potato chips purchased 6 bags of chips marked with a net weight of 28.5 grams. They carefully weighed the contents of each​ bag, recording the following weights​ (in grams): 29.4​, 28.3​, 29.4​, 28.8​, 28.9​, 28.5. A) Create a 95% confidence interval for the mean weight of such bags of chips: ( __ , __ ) grams -- Round to one decimal as needed. B) Explain in context what your interval means: - We are 95%...
The weights of cans of Ocean brand tuna are supposed to have a net weight of...
The weights of cans of Ocean brand tuna are supposed to have a net weight of 6 ounces. The manufacturer tells you that the net weight is actually a Normal random variable with a mean of 5.99 ounces and a standard deviation of 0.21 ounces. Suppose that you draw a random sample of 40 cans. Part i) Using the information about the distribution of the net weight given by the manufacturer, find the probability that the mean weight of the...
Goods Produced A B C D E Chips (bags) 0 10 12 14 16 Pretzels (bags)...
Goods Produced A B C D E Chips (bags) 0 10 12 14 16 Pretzels (bags) 50 40 30 20 0 How would a technological change that increases the production of only pretzels affect the production of chips? Explain
From a random sample of 16 bags of chips, sample mean weight is 500 grams and...
From a random sample of 16 bags of chips, sample mean weight is 500 grams and sample standard deviation is 3 grams. Assume that the population distribution is approximately normal. Answer the following questions 1 and 2. 1. Construct a 95% confidence interval to estimate the population mean weight. (i) State the assumptions, (ii) show your work and (iii) interpret the result in context of the problem. 2.  Suppose that you decide to collect a bigger sample to be more accurate....
Calvin thinks a certain potato chip maker is putting fewer chips in their regular bags of...
Calvin thinks a certain potato chip maker is putting fewer chips in their regular bags of chips. From a random sample of 18 bags of potato chips he calculated a P value of 0.044 for the sample. (a) At a 5% level of significance, is there evidence that Calvin is correct? (Type: Yes or No): (b) At a 10% level of significance, is there evidence that he is correct? (Type: Yes or No): (c) In a statistical test of hypotheses,...
en thinks a certain potato chip maker is putting fewer chips in their regular bags of...
en thinks a certain potato chip maker is putting fewer chips in their regular bags of chips. From a random sample of 23 bags of potato chips she calculated a P value of 0.047 for the sample. (a) At a 5% level of significance, is there evidence that Jen is correct? (Type: Yes or No): ____ (b) At a 10% level of significance, is there evidence that she is correct? (Type: Yes or No): ____ (c) In a statistical test...
You want to find the mean number of chocolate chips in a certain brand of cookie....
You want to find the mean number of chocolate chips in a certain brand of cookie. a) How many cookies must you randomly select for testing if you want to be 99% confident that the sample mean is within 2 chocolate chips of the population mean? (Assume a previous study found the standard deviation of chips to be 4.2)    b) Would it be ok to sample 50 cookies? ________________Why or why not? __________   
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT