selecting exactly two defectives in a sample of 5? Q3. It is observed that 80% of television viewers watch “Boogie-Woogie” Programme. What is the probability that at least 80% of the viewers in a random sample of five watch this Programme? Q4. The normal rate of infection of a certain disease in animals is known to be 25%.In an experiment with 6 animals injected with a new vaccine it was observed that none of the animals caught the infection. Calculate the probability of observed result. Q5. If
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mean? b. What is the probability that these 64 students will spend a combined total of more than $715.21? c. What is the probability that these 64 students will spend a combined total between $703.59 and $728.45? ANS: a. 10.5 0.363 normal b. 0.0314 c. 0.0794 2. The life expectancy in the United States is 75 with a standard deviation of 7 years. A random sample of 49 individuals is selected. a. What is the probability that the sample mean will be larger than 77 years? b. What
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mean = 1.33 2‚ 5‚ 6 = 13‚ mean = 4.33 1‚ 5‚ 7 = 13‚ mean = 4.33 2‚ 6‚ 7 = 15‚ mean = 5 5‚ 1‚ 10 = 16‚ mean = 5.33 Sampling distributions for (a) normal‚ (b) reverse-Jshaped‚ and (c) uniform variables Test for normality • Shapiro-Wilk Test (SPSS) • Probability Plot (Minitab) Estimating a population mean: σ known Confidence Interval for µ using normal distribution 95% confidence interval • Suppose we want to construct a 95% confidence interval for μ‚ Another word: 95% of all sample means are
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The Influence of Horace Mann on Educational Reform Terri Schryer St. Petersburg College EDF 3660 Fall 2011 Abstract This paper discusses the influence of Horace Mann on the issue of education of the masses‚ evident in his dedication to improving the quality of education through the process of improving teacher education‚ increasing available funding‚ and standardizing the quality of educational experience provided to its students. It addresses specifically
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Statistics Midterm Review Name ____________________________ The next three questions concern the following scenario: A recent Gallup poll asked "Do you consider pro wrestling to be a sport‚ or not?" Of the people asked‚ 81% said "No." The results were based on telephone interviews with a randomly selected national sample of 1‚028 adults‚ 18 years and older‚ conducted August 16-18‚ 1999. 1. The population for this poll appears to be: (a) all professional wrestlers. (b) all adults
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Release date: 27 April 2014 Submission date: 9 May 2014 TUTORIAL ON HYPOTHESIS TESTING (1) Basic Concept 1. State the null and alternative hypothesis for each conjecture : a. A researcher thinks that if expectant mothers use vitamin pills‚ the birth weight of the babies will increase. The average birth weight of the population is 3.0kg. b. An engineer hypothesizes that the mean number of defects can be decreased in a manufacturing process of compact disks by using robots instead of humans
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density of data scattered around the mean. Curve distribution is a bell shaped curve when data is tightly bunched together. Highly arched bell shaped curves have a small standard deviation. Flat bell shaped curves have a large standard deviation. A normal distribution of data indicates a section of data that are close to the average. The average is located at the curves center or midway point. The standard deviation is located on either side of the midway point. Normally distributed data is shaped
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UNIVERSITY OF LIMPOPO Turfloop Campus School of Mathematical and Computer Sciences Department of Statistics and Operations Research F LIMPOPO YO UN I VERSIT Faculty of Science and Agriculture 1. Explain carefully the difference between each of the following pairs of terms: a) b) c) d) e) Null and alternative hypotheses Simple and composite hypotheses One-sided and two-sided alternatives Type I and Type II errors Significance level and power 2. During 2000 and 2001‚ many
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Skewness‚ Kurtosis‚ and the Normal Curve Skewness In everyday language‚ the terms “skewed” and “askew” are used to refer to something that is out of line or distorted on one side. When referring to the shape of frequency or probability distributions‚ “skewness” refers to asymmetry of the distribution. A distribution with an asymmetric tail extending out to the right is referred to as “positively skewed” or “skewed to the right‚” while a distribution with an asymmetric tail extending out to
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±z0.025 ×S/√n Using z0.025 = 1.96‚ n = 40‚ S = .5ppm‚ and x = 3.56ppm‚ the 95% confidence interval for μ (true mean amount of PCBs in the soil) is given by ± 1.96 × .5/√ 40 = 3.56 ± 0.155 = (3.405‚ 3.715). Q4. Radiation of microwave ovens has normal distribution with standard deviation σ=0.6. A sample of 25 microwave ovens produced X = 0.11. Determine a 95% confidence
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