Tolerance intervals bounds a selected proportion of a normal distribution with set confidence level 100 (1-a)% True or False
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A: Sample size n=55Sample mean=0.038Standard deviation=0.067
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A: Given that Sample size n =57 Sample mean=0.039 Standard deviation =0.067
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Tolerance intervals bounds a selected proportion of a
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- please interpret the dataSuppose that you were asked to construct an 80% confidence interval based on the standard normal distribution. Use software or a table of critical values from the standard normal distribution to determine the positive critical value z, for the confidence interval. Give your answer to two decimal places, rounding to the nearest value if necessary. z=Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.036 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 57 U.S. cities is 0.039 microgram per cubic meter and the standard deviation is 0.067 microgram per cubic meter. At α=0.10, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. Question content area bottom Part 1 (a) Identify the claim and state H0 and Ha. H0: ▼ pp muμ sigma squaredσ2 sigmaσ ▼ not equals≠ greater than> less than or equals≤ less than< equals= greater than or equals≥ enter your response here Ha: ▼ muμ sigma squaredσ2 pp sigmaσ ▼ not equals≠ equals= greater than or equals≥ greater than> less than or equals≤ less than< enter your response here (Type integers or decimals. Do not round.) The claim is the ▼ null alternative…
- 99% confidence interval for the average height of people enrolled in a post secondary institution. average height- 168.3 cm Sample Size: 85 Sample Mean: 170.3 sample variance: 116.9cm2 Sample Standard Deviation: 10.8 cmA researcher wants to estimate the mean blood cholesterol level of young men ages 15-25 with a 90.16% confidence interval. The blood cholesterol level of young men follows a Normal distribution with standard deviation σ = 15 mg/dl. How large a sample would the researcher need to take to estimate the mean blood cholesterol to within 7 mg/dl? A sample of at least______peoplemonitor the percentage fat in hot dogs produced at a food processing plant a quality control technician randomly selects 15 hot dogs and measures the percentage fat of each. The sample data yield mean (xbar) 24.1 percent and standard deviation 0.9 percent. On the assumption that the fat content has a normal distribution a 95% confidence interval for the true mean percentage fat for all hot dogs currently being produced is about.
- Making auto parts A grinding machine in an auto parts plant prepares axles with a target diameter 40.125 millimeters (mm). The machine has some variability, so the standard deviation of the diameters is o = 0.002 mm. The machine operator inspects a random sample of 4 axles each hour for quality control purposes and records the sample mean diameter r. Assuming that the process is working properly, what are the mean and standard deviation of the sampling distribution of x? Explain. Making auto parts Refer to Exercise 50. How many axles would you need to sample if you wanted the standard deviation of the sampling distribution of x to be 0.0005 mm? Justity your answer.True or falseTest a claim that the mean amount of lead in the air in U.S. cities is less than 0.035 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 55 U.S. cities is 0.038 microgram per cubic meter and the standard deviation is 0.069 microgram per cubic meter. At α=0.01, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed.
- Parameter Estimation In a study of the amounts of time required for room service delivery at a newly open hotel, 20 deliveries had a mean time of 22.5 min and a standard deviation of 7.3 min. Construct the 90% confidence interval estimate for the mean score of all such deliveries. Provide estimates of population mean (μ) for a given confidence interval.Hypodermic needles are produced in a manufacturing process. The quality feature to be monitored is the outside diameter (in mm) for which the target value=0.8 is specified. We assume that the outside diameter is due to production-related variations Mμ, 02)- distributed. In the course of monitoring the process, a test random sample is taken from the ongoing production N=10 needles removed. The sample mean (arithmetic mean) is 0.827, which is the sample standard deviation (empirical standard deviation).s(x) = 0.05 a) Are the data compatible with the hypothesis that the target value0=0.8 is maintained on average in the overall production? Test this HO: με μό 1:06μ to the significance levela- 5%. The quantiles required for the test are included Rto determine. In your solution, indicate the command used for this. against b) How small or how large should the sample mean of a sample with a size of N=10 with the same sample standard deviation, so that the null hypothesis in part a) is…n=10, x=10.3, s=4.4, 95% confidence use the given degree of confidence and sample data to construct a confidence interval for the population mean u. assume that the population has a normal distribution