A pharmaceutical company is testing the time it takes for a new antibiotic to reach maximum concentration in patients. The population standard deviation for this time should be less than 8 min8~\text{min} to meet regulatory standards. If the 95%95\% confidence interval for the population standard deviation σ\sigma is (5.1 min, 7.7min)\left(5.1~\text{min, 7.7}\right.\text{min)}, does this interval indicate that the variation in peak times is within acceptable limits? Justify your answer.

Yes, because the entire 95%95\% confidence interval for σ\sigma is below .8 min8~\text{min}

Yes, because the upper bound of the 95%95\% confidence interval for σ\sigma is above 8 min8~\text{min}.

No, because the lower bound of the 95%95\% confidence interval for σ\sigma is above 8 min8~\text{min}.

No, because the entire 95%95\% confidence interval for σ\sigma is above 8 min8~\text{min}.

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1. Introduction to Statistics(0)

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Sampling Methods
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2. Describing Data with Tables and Graphs(0)

Visualizing Qualitative vs. Quantitative Data
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Frequency Distributions
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3. Describing Data Numerically(0)

Mean
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Median
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Mode
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Standard Deviation
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Interpreting Standard Deviation
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Percentiles & Quartiles
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Addition Rule
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Bayes' Theorem
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Sampling Distribution of the Sample Mean and Central Limit Theorem
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Introduction to Confidence Intervals
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Confidence Intervals for Population Mean
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Determining the Minimum Sample Size Required
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Sampling Distribution of Sample Proportion
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Confidence Intervals for Population Proportion
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Chi Square Distribution
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Two Proportions
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8. Sampling Distributions & Confidence Intervals: Proportion

Confidence Intervals for Population Proportion

8. Sampling Distributions & Confidence Intervals: Proportion

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Problem 79Multiple Choice

A pharmaceutical company is testing the time it takes for a new antibiotic to reach maximum concentration in patients. The population standard deviation for this time should be less than $8 min$ to meet regulatory standards. If the $95 percent sign$ confidence interval for the population standard deviation $σ$ is $open paren 5.1 min comma 7.7 min close paren$ , does this interval indicate that the variation in peak times is within acceptable limits? Justify your answer.

Yes, because the upper bound of the $95 percent sign$ confidence interval for $σ$ is above $8 min$ .

Yes, because the entire $95 percent sign$ confidence interval for $σ$ is below . $8 min$

No, because the lower bound of the $95 percent sign$ confidence interval for $σ$ is above $8 min$ .

No, because the entire $95 percent sign$ confidence interval for $σ$ is above $8 min$ .

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