c. Do you reject or fail to reject the null hypothesis? Justify your answer using the CriticalValue method. A simple random sample of 25 math students resulted in a mean IQ of 113.5 with astandard deviation of 12.5 Use a 0.05 significance level to test a claim that math students have amean IQ greater than 110. [Note: Assume the population standard deviation is unknown.]a. Clearly identify and state the null hynothesis Ho and tho

Given data : sample size, n = 25 sample mean, x̄ = 113.5 sample standard…

Answered: A simple random sample of 25 math…

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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For a sample of n = 20 women aged 18 to 29, responses to the question “How tall would you like to be?" are recorded along with actual heights. In the sample, the mean desired height is 66.7 inches, the mean actual height is 64.9 inches, and the sample mean difference (desired - actual) is 1.8 inches. The sample standard deviation of the differences is 2.1 inches. Researchers hypothesize that, on average, women desire to be taller than they actually are. State the null and alternative hypotheses. What assumptions do we need in order for the conditions of the hypothesis test procedure to be met since the sample size is 20? Assuming necessary conditions are met, carry out the remaining steps of the hypothesis test (test statistic, p-value, decision, and conclusion in context).
A random sample of 89 tourists in British Columbia showed that they spent an average of $2860 (in a week) with an assumed population standard deviation of $126; and a sample of 64 tourists in Alberta showed that they spent an average of $2935 (in a week) with an assumed population standard deviation of $138. We are interested in determining if there is any significant difference between the average expenditures of all the tourists who visited the two provinces.a. At a significance level of 0.05, are the two average expenditures significantly different? b. Calculate the 99% confidence interval and interpret your results?
Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest
A 0.1 significance level is used for a hypothesis test of the claim that when parents use a particular method of gender selection, the proportion of baby girls is less than 0.5. Assume that sample data consists of 78 girls in 169 births, so the sample statistic of 613 results in a z score that is 1 standard deviation below 0. Complete parts (a) through (h) below.Click here to view page 1 of the Normal table. LOADING... Click here to view page 2 of the Normal table. LOADING...Question content area bottomPart 1a. Identify the null hypothesis and the alternative hypothesis. Choose the correct answer below.A.H0: p≠0.5H1: p<0.5B.H0: p=0.5H1: p≠0.5C.H0: p=0.5H1: p<0.5D.H0: p=0.5H1: p>0.5Part 2b. What is the value of α?α=enter your response here (Type an integer or a decimal.)Part 3c. What is the sampling distribution of the sample statistic? Normal distribution Student (t) distribution χ2Part 4d. Is the test two-tailed, left-tailed, or right-tailed? Right-tailed…
A report states that the mean yearly salary offer for students graduating with a degree in accounting is $48,722. Suppose that a random sample of 50 accounting graduates at a large university who received job offers resulted in a mean offer of $49,870 and a standard deviation of $3900. Do the sample data provide strong support for the claim that the mean salary offer for accounting graduates of this university is higher than the national average of $48,722? Ho: μ = Ha: (Put in the correct symbol and value) ✓ Select an answer a not = P-value: = ↑ Based on the above we choose to Select an answer Question Help: Post to forum Submit Question
A study was conducted for an aviation safety agency in which they surveyed thousands of passengers at airports across Europe. In this study, the "mass" for a passenger includes the weight of the passenger and all of the passenger's carry-on items, including infants without their own seats. For the 5,904 adult male passengers measured in summer, the sample mean and standard deviation for this mass were 88.8 kg and 15.9 kg, respectively. (a) Construct a 95% confidence interval (in kilograms) for the population mean mass for adult male passengers in summer. (Round your answers to three decimal places.) ___to__ kg (b) Write a sentence or two interpreting the confidence interval you found in part (a). With 95% confidence, we can estimate that the population mean mass of male passengers traveling in the summer is contained within the interval. We can estimate that 95% of the male passengers traveling in the summer in the sample have a mass that is contained within the interval.…
Use z scores to compare the given values. Based on sample data, newborn males have weights with a mean of 3282.7 g and a standard deviation of 689.7 g. Newborn females have weights with a mean of 3017.5 g and a standard deviation of 722.2 g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1500 g or a female who weighs 1500 g? Since the z score for the male is z = more extreme. (Round to two decimal places.) and the z score for the female is z = [ =, the has the weight that is
A report states that the mean yearly salary offer for students graduating with a degree in accounting is $48,722. Suppose that a random sample of 50 accounting graduates ata large university who received job offers resulted in a mean offer of $49.870 and a standard deviation of $3900, Do the sample data provide strong support for the claim that the mean salary offer for accounting graduates of this university is higher than the national average of $48,722? Ho: = H: p Select an answerY (Put in the correct syimbol and value) P value Based on the above we choose to Select an answer
. A manufacturer of a new car claims the typical car will average 33 mpg of gasoline. An independent consumer group is skeptical of the claim and thinks the mean gas mileage is significantly different than the 33 claimed. A sample of 50 randomly selected cars produced a mean mpg of 31 with a standard deviation of 3.5. Assume that cars’ gas mileage is normally distributed in the population. ). a. The manufactures want to determine if the mean mpg for the cars is significantly different from 33. Write the null and alternative hypotheses for this question. b. What are the assumptions of this test? Are the assumptions met? ). C. Calculate and interpret the 95% confidence interval, and assess whether to reject the null hypothesis based on the interval. Use a t critical of 2.01.
A random sample of 15 hourly wages for restaurant servers (including tips) was drawn from a normal population. The sample mean and sample standard deviation were $14.9 and $6.75 respectevely.Can we infer at the 5% significance level that the mean wage for restaurant servers (including tips) is greater than 12?
The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million and a standard deviation of $2 million. The salaries of professional football players are also heavily skewed right with a mean of $1.9 million and a standard deviation of $1.5 million. A random sample of 40 baseball players’ salaries and 35 football players’ salaries is selected. The mean salary is determined for both samples. Let represent the difference in the mean salaries for baseball and football players. Which of the following represents the shape of the sampling distribution for ? skewed right since the populations are both right skewed skewed right since the differences in salaries cannot be negative approximately Normal since both sample sizes are greater than 30 approximately Normal since the sum of the sample sizes is greater than 30
A conservationist wants to know if the average water level in Horseshoe Lake is more than the average water level in Swan Lake. A sample of 23 observations from Horseshoe Lake has a mean of 43 meters and a standard deviation of 3.2 meters. A sample of 23 observations from Swan Lake has a mean of 38 meters and a standard deviation of 2.4 meters. Test his hypothesis at a = 0.01. O reject HO; It appears that the average water level in Horseshoe Lake is more than the average water level in Swan Lake. O fail to reject HO; It appears that the average water level in Horseshoe Lake is not more than the average water level in Swan Lake. O not sufficient information to decide

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A simple random sample of 25 math students resulted in a mean IQ of 113.5 with a standard deviation of 12.5 Use a 0.05 significance level to test a claim that math students have a mean IQ greater than 110. [Note: Assume the population standard deviation is unknown.]