Question
In: Statistics and Probability
You randomly select and measure the contents of 1010 bottles of cough syrup. The results (in...
You randomly select and measure the contents of 1010 bottles of cough syrup. The results (in fluid ounces) are shown. 4.2134.213 4.2954.295 4.2514.251 4.2414.241 4.1844.184 4.2054.205 4.2684.268 4.2454.245 4.2234.223 4.2354.235 Assume the sample is taken from a normally distributed population. Construct 9898% confidence intervals for (a) the population variance sigmaσsquared2 and (b) the population standard deviation sigmaσ. (a) The confidence interval for the population variance is left parenthesis nothing comma nothing right parenthesis .,. (Round to six decimal places as needed.)
Solutions
Expert Solution
a)Confidence Interval for population variance
b) Confidence Interval for standard deviation:
orchestra answered 2 years agoRelated Solutions
You randomly select and measure the contents of 1010 bottles of cough syrup. The results (in...
You randomly select and measure the contents of 1010 bottles of
cough syrup. The results (in fluid ounces) are shown. 4.2134.213
4.2954.295 4.2514.251 4.2414.241 4.1844.184 4.2054.205 4.2684.268
4.2454.245 4.2234.223 4.2354.235 Assume the sample is taken from a
normally distributed population. Construct 9898% confidence
intervals for (a) the population variance sigmaσsquared2 and (b)
the population standard deviation sigmaσ. (a) The confidence
interval for the population variance is left parenthesis nothing
comma nothing right parenthesis .0.0004250.000425,0.0044060.004406.
(Round to six decimal places as...
You randomly select and measure the contents of 10 bottles of cough syrup. The results (in...
You randomly select and measure the contents of 10 bottles of
cough syrup. The results (in fluid ounces) are shown to the
right. 4.218 4.299 4.255 4.248 4.184 4.296 4.265 4.246 4.228 4.232
Assume the sample is taken from a normally distributed population.
Construct 95% confidence intervals for (a) the population
variance sigma squared and (b) the population standard deviation
sigma. Interpret the results.
You randomly select and measure the contents of 10 bottles of cough syrup. The results (in...
You randomly select and measure the contents of
10 bottles of cough syrup. The results (in fluid ounces) are
shown to the right.
4.213
4.293
4.252
4.242
4.183
4.293
4.265
4.243
4.226
4.235
Assume the sample is taken from a normally distributed
population. Construct 95%
confidence intervals for (a) the population variance
σ^2
and (b) the population standard deviation
σ.
Interpret the results.
You randomly select and measure the contents of 10 bottels of cough syrup. The results in...
You
randomly select and measure the contents of
10 bottels of cough syrup. The results in (fluid ounces) are
shown in the table below. Assume the sample is taken from a
normally distributed population. Construct 80% confidence intervals
for
(a) the population variance and (b) the population standard
deviation.
(a) The confidence
interval for the population variance is:
(Round to six decimal places as needed.)
4.218
4.257
4.182
4.264
4.221
4.298
4.249
4.285
4.249
4.233
** My main question is,...
Suppose that a random sample of 50 bottles of a particular brand of cough syrup is...
Suppose that a random sample of 50 bottles of a particular brand of cough syrup is selected and the alcohol content of each bottle is determined. Let u denote the average alcohol content for the population of all bottles of the brand under study. Suppose that the resulting 95% confidence interval is (7.1, 9.8). (a) Would a 90% confidence interval calculated from this same sample have been narrower or wider than the given interval? Explain your reasoning. The 90% would be wider...
A random sample of 50 bottles of a brand of cough syrup is selected, the alcohol...
A random sample of 50 bottles of a brand of cough syrup is selected, the alcohol content of each bottle is calculated Let μ be the average alcohol content for the population of all bottles of the brand under consideration. The resulting 95% confidence interval is (7.8,9.4) (a) Would a 90% confidence interval calculated from the same sample be wider or narrower? Explain. (b) Consider the statement: there is a 95% chance that is between 7.8 and 9.4. Is this correct? Explain. (c)...
Suppose that a random sample of 50 bottles of a particular brand of cough syrup is...
Suppose that a random sample of 50 bottles of a particular brand of cough syrup is selectedand the alcohol content of each bottle is determined. Let denote the average alcohol contentfor the population of all bottles of the brand under study. Suppose that the resulting 95%confidence interval is (7.8, 9.4).a) Would a 90% confidence interval calculated from this same sample have been narroweror wider than the given interval? Explain your reasoning.b) Consider the following statement: There is a 95% chance...
Suppose that a random sample of 50 bottles of a particular brand of cough syrup is selected
Suppose that a random sample of 50 bottles of a particular brand of cough syrup is selected, and the alcohol content of each bottle is determined. Let μ denote the average alcohol content for the population of all bottles of the brand under study. Suppose that the resulting 95% confidence interval is (8.0, 9.6).a. Would a \(90 \%\) confidence interval calculated from this same sample have been narrower or wider than the given interval? Explain your reasoning.b. Consider the following statement:...
Suppose a random sample of 50 bottles of "CoughGone" cough syrup was collected and the alcohol...
Suppose a random sample of 50 bottles of "CoughGone" cough syrup
was collected and the alcohol content (in wt. percent) of each
bottle measured. A 95 % confidence interval for bottle true mean
alcohol content, μ, was then determined from these data to be (6.7,
9.3). It was assumed that the variance of the alcohol distribution
was known.
a.) What is the value of the sample mean, x̄ ?(Give answer to
two places past decimal.)
b.) What is the value...
You work for a pharmaceutical company wanting to make a new flavor of cough syrup. You...
You work for a pharmaceutical company wanting to make a new
flavor of cough syrup. You are asked to conduct research on flavor
preferences. You would like to know whether people like Cherry
Lime, Vanilla Mint and Cinnamon Mocha flavors differently. You
divided all potential customers into geological regions and
randomly selected a few regions to recruit your study participants
from. Then from the selected regions, your randomly recruited 24
participants, which is representative of all potential customers of
your...
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