The following table represents the annual rainfall distribution in a city, for a sample of (5X+1) years. Rainfall (in cm) 20 - 25 25 – 30 30 – 35 35 – 40 40 – 45 45 – 50 50 – 55 55 – 60 Number of years 3 X-3 7 2X-6 7 4 2 (X/2) - 1 a. Compute the average rainfall. Answer in exact fraction, or rounded to at least 4 decimal places cm b. Compute the median rainfall. Answer in exact fraction, or rounded to at least 4 decimal places. cm c. Determine the variance value of the rainfall distribution. Answer in exact fraction, or rounded to at least 4 decimal places.
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- Determine the sampling error if the grade point averages for 10 randomly selected students from aclass of 125 students has a mean of x = 2.1. Assume the grade point average of the 125 students has a mean f µ = 2.4Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 116 pounds and a standard deviation of 38.3. pounds. Random samples of size 20 are drawn from this population and the mean of each sample is determined. μx=____Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 109 pounds and a standard deviation of 37.9pounds. Random samples of size are drawn from this population and the mean of each sample is determined.
- The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of are defective, the control unit calls repair technicians for service.(a) Find the mean of p, where is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. (b) Find the standard deviation of p. (c) Compute an approximation for P(p greater than/equal to 0.0125), which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 107 pounds and a standard deviation of 37.8 pounds. Random samples of size 19 are drawn from this population and the mean of each sample is determined. μx=nothingThe population mean will always be the same as the mean of all possible X¯ that can be computed from samples of size 21.
- The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. a)Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. b)Find the standard deviation of p. c)Compute an approximation for P≥p0.0125, which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.A random sample of 25 tires gave the average life as 38000 km and S.D. as 5000 km. Can it be concluded that the sample is drawn from a population with a mean life of 40000 km?The Insurance Institute for Highway Saftey publishes data on the total damage suffered by compact automobiles in a series of controlled, low-speed collisions. A sample of the data in dollars, with brand names, removed, is 950,650,850,750 The interquartile range of the above data is?
- If μ= 39.44 and σ=3, what is the critical value for the 95% interval when x̄=40 with sample size n=182?The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1% . When 1.5% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p , where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. (b)Find the standard deviation of p . (c)Compute an approximation for P≥p0.015 , which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.Suppose that the lengths of pregnancies are normally distributed with a mean of 271 days and a standard deviation of 10 days. find the percentage of pregnancies that are longer than 254 days. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%).