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A: Given the frequency distribution of marks of 800 candidates as Marks Frequency 0-10 10 10-20…
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Q: 3. The average consumption of rice that a rural male adult person in a year is 70 kilos. If 25 rural…
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Q: The lifetime in hours of a certain component of a machine has the continuous probability density…
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Q: Direction: Compute and Illustrate the distribution of the mean. 1. The average price of a computer…
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Q: • Enumerate and differentiate the approaches in calculating probabilities. • Differentiate mutually…
A: (a) The objective is to enumerate and differentiate the approaches in calculating probabilities.
Q: distributed, with mean μ=55 and standard deviation σ=4. Find the 6th percentile
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Q: A deck consist of 3 Jacks, 3 Queens and 3 Kings of different suit. What is the probability of…
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Q: Let X be a random variable that takes nonnegative integer values.“ (a) Show that E[X] = P(x 2 k)."…
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Q: b. I toss a coin twice and define X to be the number of heads I observe. Then, I toss the coin two…
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Q: The average score of employees on a mental examination is 120. Suppose that nothing is known about…
A: The average score of employees on a mental examination is 120.
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A: Given ; 15 balles numbered 1 to 15. What is the probability that 3 balls chosen without replacement…
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A: It is given that Mean, μ = 10 Standard deviation, σ = 13 Sample size, n = 42
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Q: In a shooting contest, Jose hits the target 85 times of 100, Pedro hits it 95 times out of 100. What…
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- Among the four northwestern states, Washington has 51% of the total population, Oregon has 30%, Idaho has 11%, and Montana has 8%. A market researcher selects a sample of 1000 subjects, with 350 in Washington, 440 in Oregon, 140 in Idaho, and 70 in Montana. At the 0.02 significance level, test the claim that the sample of 1000 subjects has a distribution that agrees with the distribution of state populations.You work with the office of city planning which is currently evaluating a new contract for a major highway. The chosen contractor claims that the roads they build usually have a single (1) defect per 50 miles of road, assume this follows a Poisson distribution. The portion of the highway that your city is building is 30 miles long. Within the contract there is a clause which states that if 5 or more defects are found in the completed project then the contractor must reimburse a third of the final payment. What is the probability that this happens?The 30 management professors at Omega University find out that telephone calls made to their offices are not being picked up. A call-forwarding system redirects calls to the management office after the fourth ring. A department office assistant answers the telephone and takes messages.An average of 90 telephone calls per hour is placed to the management faculty, and each telephone call consumes about one minute of the assistant’s time. The calls arrive to a Poisson distribution, as shown in Figure (a), with an average of 1.5 calls per minute. Because the professors spend much of their time in class and in conferences, there is only a 40 percent chance that they will pick up a call themselves, as shown in Figure (b). If two or more telephone calls are forwarded to the office during the same minute, only the first call will be answered.a. Without using simulation, make a preliminary guess of what proportion of the time the assistant will be on the telephone and what proportion of the…
- When three or more orders are placed, one (1) technical expert from PLDT, the country's broadband and digital services provider, is assigned to the city. For a 100,000-person city, supposed orders follow a Poisson distribution with a mean of 0.25 each week. If your city has a population of 800,000 people, what is the likelihood that a technical expert would be needed after a week? a. 0.3322 b. 0.2323 c. 0.3233 d. 0.2233Suppose you manage the demand for a towing company in Little Rock which follows a poisson process. On a usual day your company gets 4 requests for towing services. What is the probability you will get 0 or 1 request a day? What is the mean, variance, and standard deviation for the numberof calls your company gets?According to a 2017 survey conducted by the technology market research firm The Radicati Group, U.S. office workers receive an average of 121 e-mails per day (Entrepreneur magazine website). Assume the number of e-mails received per hour follows a Poisson distribution and that the average number of e-mails received per hour is five.
- Miller (2008) examined the energy drink consumption of college undergraduates and found that female useenergy drinks significantly less often than males. To further investigate this phenomenon, suppose that a researcher selects a random sample of n = 36 male undergraduates and a sample of n = 25 females. On average, the males reported consuming M = 2.45 drinks per month and females had an average of M = 1.28. Assume that the overall level of consumption for college undergraduates averages mean = 1.85 energy drinks per month, and that the distribution of monthly consumption scores is approximately normal with a standard deviation is = 1.2. Use alpha =.01It is claimed that the average amount of time boys and girls (age between 7 and 11) spend playing each day is the same. A child psychologist believes that boys, on average, spend more time playing sports than girls. He randomly selected 60 girls and 95 boys and observed their play time on sports. From his samples he found that girls have spend on average 2.6 hours, and boys have spent on average 3.9 hours playing sports. It is found that the time spent playing sports is normally distributed for girls with a standard deviation of 0.34 hours and for boys with a standard deviation of 1.53 hours. Is this day sufficient to support the psychologist claim? Do the test at 5% level of significance. Assume girls belong to population 1 and boys belong to population 2. Data given in this question are: y-bar1 = 2.6, y-bar2 = 3.9, sigma1 = 0.34, sigma2 = 1.53 mu1 = 2.6, mu2 = 3.9, sigma1 = 0.34, sigma2 = 1.53 y-bar1 = 2.6, y-bar2 = 3.9, s1 = 0.34, s2 = 1.53 mu1 = 2.6,…In a study of vehicle ownership, it has been found that 29% of U.S. households do not own a vehicle, with 49% owning 1 vehicle, and the remaining owning 2 or more vehicles. The data for a random sample of 208 households in a resort community are as follows:70 owned 0 vehicles, 101 owned 1 vehicle, and the remaining owned 2 or more vehicles.When testing (at the 5% level of significance) whether the vehicle-ownership distribution in this community differs from that of the nation as a whole what is the test statistic?
- In a study of vehicle ownership, it has been found that 30% of U.S. households do not own a vehicle, with 50% owning 1 vehicle, and the remaining owning 2 or more vehicles. The data for a random sample of 195 households in a resort community are as follows:77 owned 0 vehicles, 103 owned 1 vehicle, and the remaining owned 2 or more vehicles.When testing (at the 10% level of significance) whether the vehicle-ownership distribution in this community differs from that of the nation as a whole what is the critical value? (please round your answer to 3 decimal places)In a study of vehicle ownership, it has been found that 30% of U.S. households do not own a vehicle, with 50% owning 1 vehicle, and the remaining owning 2 or more vehicles. The data for a random sample of 203 households in a resort community are as follows:78 owned 0 vehicles, 105 owned 1 vehicle, and the remaining owned 2 or more vehicles. When testing (at the 5% level of significance) whether the vehicle-ownership distribution in this community differs from that of the nation as a whole what is the critical value? (please round your answer to 3 decimal places)Miller (2008) examined the energy drink consumption of college undergraduates and found that males use energy drinks significantly more often than females. To further investigate this phenomenon, suppose a researcher selects a random sample of n = 36 male undergraduates and a sample of n = 25 females. On average, the males reported consuming M = 2.45 drinks per month and females had an average of M = 1.28. Assume that the overall level of consumption for college undergraduates averages μ = 1.85 energy drinks per month, and that the distribution of monthly consumption scores is approximately normal with a standard deviation of σ = 1.2. A) The researcher wants to know if the sample of males consume significantly more energy drinks than the overall population average. What decision should be made about the null hypothesis? Be sure to use the correct language when answering this question. Compute Cohen’s d to measure the size of the effect. Is it a small, medium or large effect?…