Consider a dataset containing the heights of 38 females who said they prefer tosit in the front of the classroom yields a sample average of 62 inches and asample standard deviation of 2.5 inches. Suppose that the average height forthe general population of college females is 65 inches. An analyst wants to testthe claim that the true average height of females who prefer to sit in the frontof the classroom is lower than it is for the general population.In the hypothesis for the above claim (at significance level of 10%), theappropriate test, test statistic (name and value), and pvalue isthe approximate Z-test with z-statistic = 62 and pvalue = 0.the approximate Z-test with z-statistic = 7.40 and pvaluenot calculable because normality is not given.=0.the approximate Z-test with z-statistic = -7.40 and pvalue = 0.

Answered: Image /qna-images/answer/ce811dd7-268f-49f6-989b-529351875cd0.jpg

Answered: Consider a dataset containing the…

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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According to a research study, college students spent 24.2 hours doing homework per week last year, on average. A random sample of 16 college students was surveyed and the mean amount of time per week each college student spent on homework was 23.7. This data has a sample standard deviation of 2.2. (Assume that the scores are normally distributed.) Researchers conduct a one-mean hypothesis at the 1% significance level, to test if the mean amount of time college students spend on homework per week is less than the mean amount of time last year. Which answer choice shows the correct null and alternative hypotheses for this test? Select the correct answer below: H0:μ=24.2; Ha:μ>24.2, which is a right-tailed test. H0:μ=24.2; Ha:μ<24.2, which is a left-tailed test. H0:μ=23.7; Ha:μ>23.7, which is a right-tailed test. H0:μ=23.7; Ha:μ<23.7, which is a left-tailed test.
An auditor, pressed for time and on a low budget, is concerned with account errors on customer credit. She takes a sample of 25 accounts, and finds the account error, on average, is $-23, with a standard deviation of $16. Is the claim of the manager that errors average only $-10 supported? In this case, the null hypothesis is what?
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?
You are interested in testing whether the average age of household heads is higher in the suburbs than in inner city neighbourhoods. A survey is conducted, and the following results are obtained. In the suburbs, the household heads of the 45 households surveyed had a mean age of 44 with a standard deviation of 15. In the inner city, the mean age of the 40 household heads surveyed was 38 with a standard deviation of 13. Assuming that the populations from which these samples were drawn have equal variances, can you conclude that the difference between the two means is significant at the 95% level of confidence? (a) Write in words and symbols the null and research hypotheses. (b) Assuming the variances of the populations are equal, calculate the value of the Pooled Variance Estimate (PVE). (c) Calculate the value of the standard error for the difference between the two means.
In a sample of 80 business trips taken by employees in the HR department, a company finds that the average amount spent for the trips was $1580 with a standard deviation of $350. In a sample of 80 trips taken by the employees in the sales department is $1750 with a standard deviation of $550. When testing the hypothesis that the averageamount spent on trips taken by the salesepartment are higher than those taken by the HR department, if the test statistic is 2.33 and the critical value is 1.96 then what is your conclusion concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesis
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
Dr. Graham is interested in determining if middle-aged adults use text messaging more or less frequently than the general population. Dr. Graham collects information on text messaging from a random sample of 50 adults ages 25 to 44. Dr. Graham finds that these individuals send or receive an average of 68 text messages per day. Using the population mean (and standard deviation) of 41.5 texts per day (34 texts per day), determine whether adults in this age group use text messaging more than the general public.
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.…
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 $48,7227 Ho: = Ha: Select an answer V (Put in the correct symbol and value) a = P-value =
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
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Based on information from the Statistical Forum, the population mean daily cost of operating a car is $ 18. A random sample of 26 students who own cars found a sample mean operating cost per day of $17.30. The population standard deviation is known and its value is $3.2. Test the alternative hypothesis that the population mean daily cost of operating a car for all students is lower than the national population average of $18. Use the 1% level of significance. 1) Specify the null and the alternative hypotheses. 2) Compute the Sample Test Statistic for this hypothesis test. 3) Find the p-value for this hypothesis test. 4) What is the decision for this hypothesis test.

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