You would like to construct a 95% confidence interval to estimate today's population mean temperature, so you make a series of measurements (a randomsample) throughout the day. The mean of these measurements is 59 degrees Fahrenheit, and their standard deviation is 4 degrees Fahrenheit.(a) What is the best point estimate, based on the sample, to use for the population mean?O degrees(b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical valuefor the 95% confidence interval for the population mean.(In the table, Z refers to a standard normal distribution, and t refers to at distribution.)Could useSampling scenariotUncleareither Z or tThe sample has size 100, and it is from a non-normally distributedpopulation.The sample has size 16, and it is from a normally distributedpopulation with an unknown standard deviation.The sample has size 110, and it is from a non-normally distributedpopulation with a known standard deviation of 3,9.

Given: The mean of these measurements is 39 degrees Fahrenheit, and their standard deviation is 3…

Answered: You would like to construct a 95%…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Tina catches a 14-pound bass. She does not know the population mean or standard deviation. So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds. Find the t and calculate a 95% (α = .05) confidence interval.
For the following dataset, you are interested to determine the "spread" of the data. Would you employ calculations for the sample standard deviation, or population standard deviation for this dataset: The weight of each apple in a shipment of 1000 apples.
A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 21.2 pounds and a standard deviation of 4.6 pounds. Step 1 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 85 people on this diet, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.
Making sure that the scales used by businesses in the United States are accurate is the responsibility of the National Institute for Standards and Technology (NIST) in Washington, D.C. Suppose that NIST technicians are testing a scale by using a weight known to weigh exactly 1000 grams. The standard deviation for scale reading is known to be σ=3.0. They weigh this weight on the scale 54 times and read the result each time. The 54 scale readings have a sample mean of x=1001.0 grams. The calibration point is set too high if the mean scale reading is greater than 1000 grams. The technicians want to perform a hypothesis test to determine whether the calibration point is set too high. Use the α=0.05 level of significance and the P-value method with the TI-84 calculator. 1. Find the appropriate null and alternate hypotheses. 2.Find P-value 3.Determine whether to reject H0 ( reject or do not reject) 4.There (is/is not) enough evidence to conclude that the (calibraton point is set to…
In the past, the mean age of consumers of a product was 38 years. Recently the product has been drastically changed. In order to determine whether there has been a change in the mean age of the product consumers, a sample of 16 consumers is selected. The mean age in the sample is 33 years and the standard deviation in the sample is 10 years. Let u = the mean age of the current product (Problem Set #7) consumers. The value of the test statistic is Oa. -2.00 O b.-1.60 OC .0.8 O d. 4.21
Step 1: Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 70% of vehicles on the roads in the Minneapolis-St. Paul metropolitan area are occupied by just the driver. You choose 84 vehicles at random. What are the mean and standard deviation of the proportion of vehicles in your sample that carry only one person? (Fill in the blanks below.) The mean is (1) . (Give your answer to 1 decimal place.) (2) The standard deviation is (Give your answer to 2 decimal places.) eBook Answer 1 Answer 2
The mean salary at a local industrial plant is $29,600 with a standard deviation of $5700. The median salary is $25.300 and the 59th percentile is $30,200. Step 5 of 5: If Tom's salary has a z-score of 0.6, how much does he earn (in dollars)?
34% of CSU students participate in the Statistics Games while they attend CSU. You take a random sample of 40 students. You want to determine the probability that more than 15 of them have participated in the Statistics games. Since the conditions are met, you decide to use the Normal model to find your answer. What is the mean and standard deviation of the sampling distribution?
You would like to construct a 95% confidence interval to estimate the population mean score on a nationwide examination in psychology, and for this purpose we choose a random sample of exam scores. The sample we choose has a mean of 511 and a standard deviation of 71. (a) What is the best point estimate, based on the sample, to use for the population mean? X ? (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 95% confidence interval for the population mean. (In the table, Z refers to a standard normal distribution, and t refers to a t distribution.)
Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $110.42. Assume the amounts are normally distributed with standard deviation $19.00. Use the TI-84 Plus calculator to answer the following. (a) Find the 1lth percentile of the bill amounts (b) Find the 62nd percentile of the bill amounts (c) Find the median of the bill amounts, Round the answers to at least two decimal places.
Given the situation or problem, determine what is being asked. A random sample of size n = 16 was drawn from a population. If it is known that the population has mean μ = 32 and a standard deviation σ = 5, determine the standard error of the sampling distribution of the mean.
Smith and Smith are Certified Public Accountants who are in love with statistical analysis for audit sampling because of its objectivity and precision. They made an estimation of expected population deviation of their client’s accounts receivable to be 2.1% . However, they seem to have a rough idea that the sample is representative of the population and that its deviation approximates that of the population deviation. They decided to set their sample deviation parameters at + 3 or – 3% Required: a. What will be the sample risk deviation tolerable at the lowest limit level for your audit? The total Accounts Receivable is $500,000.00. This is the assertion by management. b. What will be the sample risk deviation that is tolerable at the highest level?

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