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- A data set lists earthquake depths. The summary statistics are nequals=600600, x overbarxequals=5.365.36 km, sequals=4.334.33 km. Use a 0.010.01significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to5.005.00.Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses?Civil engineers collect data from an area in Canada on the amount of tons of salt used to keep highways in good condition during a snow storm.The amount of salt for n = 30 has(# 1 at image) What can be said with 95% confidence about the maximum error if (# 2 at image) is used as a point estimator of the true population mean of the amount of salt required for a snow storm?The downtime per day for a certain computing facility averages 4.0 hours, with a standard deviation of 0.8 hours. a. Find the probability that the average daily downtime for a period of 30 days is between 1 and 5 hours. b. Find the probability that the total downtime for the 30 days is less than 115 hours. c. What assumptions are necessary for the answers in parts (a) and (b) to be valid approximations?
- Assume that the sample is a simple random sample obtained from a normally distributed population of IQ scores of statistics professors. Use the table below to find the minimum sample size needed to be 95% confident that the sample standard deviation s is within 20% of σ. Is this sample size practical? A.No, because the sample size should be as small possible for most applications B.Yes, because the sample size should be as large as possible for most applications. C.No, because the sample size is excessively large to be practical for most applications. D.Yes, because the sample size is small enough to be practical for most applicationsIt takes an average of 40 seconds to download a certain le, with a standarddeviation of 5 seconds. The actual distribution of the download time is unknown.Using Chebyshev's inequality, what can be said about the probability of spendingmore than 1 minute for this download?Dr. Castillejo feels that the maximum pulse rate during the run is a good predictor in explaining the oxygen consumption in the blood stream. He asserts that if the pulse rate at the end of the run increased, then the oxygen consumption will also increase, hence his/her heart is functioning well. Based on the R commanderoutput below, check if the data on oxygen consumption and maximum pulse rate (from 152 bpm to 196bpm) support Dr. Castillejo’s assertion.
- A soft-drink bottling company fills and ships soda in plastic bottles with a target volume of 354 . The filling machinery does not deliver a perfectly consistent volume of liquid to each bottle, and the three quartiles for the fill volume are O1=353 , Q2=354 , and Q3=356 (A) Find the IQR (B) Find the outlier limits. Round your answer to one decimal place. Lower limit=? Upper limit=? (C) A fill volume of 348 mL is considered low. Would a fill volume of 348 mL be considered an outlier? Explain. A. No, since 348 falls between the lower and upper limits. B. Yes, since 348 is below the lower outlier limit. C. Yes, since 348 is above the upper outlier limit.Assume that the sample is a simple random sample obtained from a normally distributed population of IQ scores of statistics professors. Use the table below to find the minimum sample size needed to be 99%confident that the sample standard deviation s is within 1% of σ. Is this sample size practical?A lab technician is tested for her consistency by making multiple measurements of the cholesterol level in one blood sample. The target precision is a standard deviation of 1 mg/dL or less. If 18 measurements are taken and the standard deviation is 2 mg/dL, is there enough evidence to support the claim that her standard deviation is greater than the target, at α= .01? Group of answer choices No, since the χ2 test value 34.00 is less than the critical value 34.805. Yes, since the χ2 test value 68.000 is greater than the critical value 34.805. No, since the χ2 test value 34.00 is greater than the critical value 33.409. Yes, since the χ2 test value 68.000 is greater than the critical value 33.409.
- A simple random sample of 10 UPMin students were taken to estimate the mean (μ) weekly allowance of all UPMin students. The data are: (step by step solution) 500 550 600 1000 675 450 500 650 800 825 1. Find the point estimate for the mean and variance of the weekly food allowance of UPMin students. 2. Construct a 95% C.I. on μ and interpret. 3. Constructa 99% C.I. on μ and interpret. 4. What generalization you can get about the width of the interval?A medical researcher says that less than 80% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 76% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. Let p be the population proportion of successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. (a) Find the critical value(s) and identify the rejection region(s). z0=______ (b) Identify the rejection region(s). (c) Find the standardized test statistic z. z=______ (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.An industrial sewing machine uses ball bearings that are targeted to have a diameter of 0.75 inch. The lower and upper specification limits under which the ball bearings can operate are 0.73 inch and 0.77 inch, respectively. Past experience has indicated that the actual diameter of the ball bearings is approximately normally distributed, with a mean of 0.754 inch and a standard deviation of 0.005 inch. Type calculations and/or use Excel functions, including the explicit arguments for each function, in answering these questions. a) What proportion of the ball bearings produced meet the design requirements? b) Of 1000 bearings , how many are expected to be too large to function in the sewing machine? c) What diameter represents the 80th percentile of the bearings produced by this machine?