Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 7, Problem 54SE
It is important that face masks used by firefighters be able to withstand high temperatures because firefighters commonly work in temperatures of 200–500°F. In a test of one type of mask, 11 of 55 masks had lenses pop out at 250°. Construct a 90% upper confidence bound for the true proportion of masks of this type whose lenses would pop out at 250°.
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It is important that face masks used by firefighters be able to withstand high temperatures because firefighters commonly work in temperatures of 200–500°F. In a test of one type of mask, 11 of 55 masks had lenses pop out at 250°(a)Construct a 90% CI for the true proportion of masks of this type whose lenses would pop out at 250°(b)Based on this, what would be your recommendations to the manufacturer regarding this specific face mask?
Dioxin Researchers have linked an increase in the inci-dence of breast cancer in Italy to dioxin released by
an industrial accident in 1976. The study identified 981women who lived near the site of the accident and were
under age 40 at the time. Fifteen of the women had devel-oped breast cancer at an unusually young average age of 45.
Medical records showed that they had heightened con-centrations of dioxin in their blood and that each tenfold
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In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 18 adolescents with alcohol use
disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cm°. An analysis of the sample data revealed that the hippocampal volume is approximately normal with x - 8.01
cm and s 0.8 cm°. Conduct the appropriate test at the a 0.01 level of significance.
State the null and alternative hypotheses.
Ho H
Hi H
(Type integers or decimals. Do not round.)
Identify the t-statistic
(Round to two decimal places as needed.)
Identify the P-value.
P-value
(Round to three decimal places as needed.)
Make a conclusion regarding the hypothesis
cm3
the null hypothesis. There
sufficient evidence to claim that the mean hippocampal volume is
Chapter 7 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 7.1 - Consider a normal population distribution with the...Ch. 7.1 - Each of the following is a confidence interval for...Ch. 7.1 - Suppose that a random sample of 50 bottles of a...Ch. 7.1 - A CI is desired for the true average stray-load...Ch. 7.1 - Assume that the helium porosity (in percentage) of...Ch. 7.1 - On the basis of extensive tests, the yield point...Ch. 7.1 - By how much must the sample size n be increased if...Ch. 7.1 - Let 1 0, 2 0, with 1 + 2 = . Then P(z1X-/nz2)=1-...Ch. 7.1 - a. Under the same conditions as those leading to...Ch. 7.1 - A random sample of n = 15 heat pumps of a certain...
Ch. 7.1 - Consider the next 1000 95% CIs for that a...Ch. 7.2 - The following observations are lifetimes (days)...Ch. 7.2 - The article Gas Cooking. Kitchen Ventilation, and...Ch. 7.2 - The negative effects of ambient air pollution on...Ch. 7.2 - Determine the confidence level for each of the...Ch. 7.2 - The alternating current (AC) breakdown voltage of...Ch. 7.2 - Exercise 1.13 gave a sample of ultimate tensile...Ch. 7.2 - The U.S. Army commissioned a study to assess how...Ch. 7.2 - The article Limited Yield Estimation for Visual...Ch. 7.2 - TV advertising agencies face increasing challenges...Ch. 7.2 - In a sample of 1000 randomly selected consumers...Ch. 7.2 - The technology underlying hip replacements has...Ch. 7.2 - The Pew Forum on Religion and Public Life reported...Ch. 7.2 - A sample of 56 research cotton samples resulted in...Ch. 7.2 - The Pew Forum on Religion and Public Life reported...Ch. 7.2 - The superintendent of a large school district,...Ch. 7.2 - Reconsider the CI (7.10) for p, and focus on a...Ch. 7.3 - Determine the values of the following quantities:...Ch. 7.3 - Determine the t critical value(s) that will...Ch. 7.3 - Determine the t critical value for a two-sided...Ch. 7.3 - Determine the t critical value for a lower or an...Ch. 7.3 - According to the article Fatigue Testing of...Ch. 7.3 - The article Measuring and Understanding the Aging...Ch. 7.3 - A sample of 14 joint specimens of a particular...Ch. 7.3 - Silicone implant augmentation rhinoplasty is used...Ch. 7.3 - A normal probability plot of the n = 26...Ch. 7.3 - A study of the ability of individuals to walk in a...Ch. 7.3 - Ultra high performance concrete (UHPC) is a...Ch. 7.3 - Exercise 72 of Chapter 1 gave the following...Ch. 7.3 - Prob. 40ECh. 7.3 - A more extensive tabulation of t critical values...Ch. 7.4 - Determine the values of the following quantities:...Ch. 7.4 - Determine the following: a. The 95th percentile of...Ch. 7.4 - The amount of lateral expansion (mils) was...Ch. 7.4 - Wire electrical-discharge machining (WEDM) is a...Ch. 7.4 - Wire electrical-discharge machining (WEDM) is a...Ch. 7 - Example 1.11 introduced the accompanying...Ch. 7 - The article Distributions of Compressive Strength...Ch. 7 - For those of you who dont already know, dragon...Ch. 7 - A journal article reports that a sample of size 5...Ch. 7 - Unexplained respiratory symptoms reported by...Ch. 7 - High concentration of the toxic element arsenic is...Ch. 7 - Aphid infestation of fruit trees can be controlled...Ch. 7 - It is important that face masks used by...Ch. 7 - A manufacturer of college textbooks is interested...Ch. 7 - The accompanying data on crack initiation depth...Ch. 7 - In Example 6.8, we introduced the concept of a...Ch. 7 - Prob. 58SECh. 7 - Prob. 59SECh. 7 - Prob. 60SECh. 7 - Prob. 61SECh. 7 - Prob. 62SE
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- In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 12 adolescents with alcohol use disorders to 3 determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cm°. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x= 8.13 cm° and s= 0.7 cm°. Conduct the appropriate test at the a= 0.01 level of significance. State the null and alternative hypotheses. Ho: H 9.02 H1:µ < 9.02 (Type integers or decimals. Do not round.) Identify the t-statistic. to = (Round to two decimal places as needed.)arrow_forwardIn a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 17 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cm°. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no 3 3 outliers and x = 8.12 cm° and s= 0.7 cm'. Conduct the appropriate test at the a = 0.01 level of significance. State the null and alternative hypotheses. Họ: H 9.02 %3D H1: µ < (Type integers or decimals. Do not round.) 9.02 Identify the t-statistic. to = (Round to two decimal places as needed.)arrow_forwardIn a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 17 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic 3 adolescents were less than the normal volume of 9.02 cm°. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x= 8.12 cm° and s = 0.7 cm°. Conduct the appropriate test at the a = 0.01 level of significance. State the null and alternative hypotheses. Ho:H %3D H1: µ < (Type integers or decimals. Do not round.)arrow_forward
- In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 17 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cm°. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x= 8.12 cm° and s = 0.7 cm°. Conduct the appropriate test at the a = 0.01 level of significance. State the null and alternative hypotheses. Ho: H 9.02 H1: µ < (Type integers or decimals. Do not round.) 9.02 Identify the t-statistic. to 5.30 (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.)arrow_forwardIn a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 15 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cm°. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x = 8.02 cm° and s = 0.7 cm°. Conduct the appropriate test at the a = 0.01 level of significance. State the null and alternative hypotheses. Ho: H (Type integers or decimals. Do not round.)arrow_forwardNaini, Cobourne, McDonald and Donaldson (2008) reported that a specific ratio of height to face length of 1 to 8.5 tended to be rated as most attractive—almost exactly what Da Vinci’s idealized Vitruvian Man, predicts as “perfection” in the human form. For this study, we want to see if there is a relationship between a person’s height and head circumference. We get a random sample of 40 people and measure both their height and their head size to the nearest centimeter. What test should you use and why?arrow_forward
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