Answered: When population variances are known,…

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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You would like to construct a 90% 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 502 and a standard deviation of 75 . (a) What is the best point estimate, based on the sample, to use for the population mean? (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 90% confidence interval for the population mean. (In the table, Z refers to a standard normal distribution, and t refers to a t distribution.) Sampling scenario Z t Could use either Z or t Unclear The sample has size 80 , and it is from a non-normally distributed population with a known standard deviation of 75 . Z t The sample has size 85 , and it is from a non-normally distributed…
Page of 6 s3, where the weights applied are their respective degrees of freedom relative to the total number of degrees of freedom. In the case when of and o are unknown and cannot be assumed equal, we cannot calculate a pooled estimate of the population variance. EXAMPLE A consumer advocate analyzes the nicotine content in two brands of cigarettes. A sample of 20 cigarettes of Brand A resulted in an verage nicotine content of 1.68 milligrams with a standard deviation of 0.22 milligram; 25 cigarettes of Brand B yielded an average nicotine content of 1.95 milligrams with a standard deviation of 0.24 milligram. Brand A Brand B X1 = 1.68 X2 = 1.95 S1 = 0.22 S2 = 0.24 n, = 20 n2 = 25 Construct the 95% confidence interval for the difference between the two popula- tion means. Nicotine content is assumed to be normally distributed. In addition, the population variances are unknown but assumed equal.
Section 6.1 Construct the confidence interval for the population mean. C=0.95, mean=5.2, standard dev.=0.8, and n=47 (please help when can be done in the TI-84 calculator) Thank you __________ , _____________
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solve #2: confidence interval for variance and standard deviation n = 10 s = 8.54 a = 0.05
Q3/A/Find the mean, standard deviation, lower and upper quartiles, and the coefficient of skewness using Karl Pearson method for the following table: No. of students Marks Below 5 6 Below 10 16 Below 15 28 Below 20 38 Below 25 46
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What is meant by the phrase "99% confidence interval" in this exercise? The phrase "99% confidence interval" means that if many intervals were constructed using the same methods and the same ▼ sample size, sample variance, population variance, sample mean, population mean, sample standard deviation, population standard deviation, then enter your response here% of those intervals would contain the true ▼ population variance. population standard deviation. sample variance. population mean. sample standard deviation. sample mean. sample size.
True or False Q: If a 90% confidence interval for the mean is (75.3 to 80.9), we would reject H0:  =70 in favor of H1:  ≠ 70 at  = 0.05.
For data description from stata, what kind of information is needed for the following, give an example for each of them. • t-test of a single population parameter• Confidence interval• t-test of a single linear combination of parameters• Prediction and confidence interval
Suppose that a random sample of 11 scores from a population of test scores is to be used to estimate the population mean and standard deviation. If a 95% confidence interval for the mean is constructed , it contains values that are within _____ standard deviations of its mean.
Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…

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When population variances are known, which distribution do we use for finding the critical value when constructing a confidence interval for the population mean