A sample of 79 female workers and another sample of 51 male workers from a state produced mean weekly earnings of $728.22 forthe females and $761.88 for the males. Suppose that the population standard deviations of the weekly earnings are $ 75.84 for allfemales and $ 102.10 for all males. The null hypothesis is that the mean weekly earnings are the same for females and males, while thealternative hypothesis is that the mean weekly earnings for females is less than the mean weekly earnings for males.Derive the corresponding 95% confidence interval, rounded to two decimal places, for the difference between the mean weeklyearnings for all female and male workers in this state.to i

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Answered: A sample of 79 female workers and…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A report about how American college students manage their finances includes data from a survey of college students. Each person in a representative sample of 793 college students was asked if they had one or more credit cards and if so, whether they paid their balance in full each month. There were 500 who paid in full each month. For this sample of 500 students, the sample mean credit card balance was reported to be $825. The sample standard deviation of the credit card balances for these 500 students was not reported, but for purposes of this exercise, suppose that it was $195. Is there convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907, the value reported for all college students with credit cards? Carry out a hypothesis test using a significance level of 0.01. In USE SALT State the appropriate null and alternative hypotheses. Но: и 907 Но: и 3D 907 На: и # 907 a' O Ho: µ = 907 H: H 907 Н: и…
A report about how American college students manage their finances includes data from a survey of college students. Each person in a representative sample of 793 college students was asked if they had one or more credit cards and if so, whether they paid their balance in full each month. There were 500 who paid in full each month. For this sample of 500 students, the sample mean credit card balance was reported to be $825. The sample standard deviation of the credit card balances for these 500 students was not reported, but for purposes of this exercise, suppose that it was $195. Is there convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907, the value reported for all college students with credit cards? Carry out a hypothesis test using a significance level of 0.01. Find the test statistic and P-value.
A study of compulsive buying behavior conducted a national telephone survey in 2004 of adults aged 18 and over. The total credit card balance had a mean of $3,399 and standard deviation of $5,595 for 100 compulsive buyers and a mean of $2,837 and standard deviation of $6,335 for 1,682 other respondents. Estimate the difference between the sample means for compulsive buyers and other respondents, and find the standard error of the difference. Let mu1 = the population mean total credit card balance for non-compulsive buyers Let mu2 = the population mean total credit card balance for compulsive buyers y(bar)2-y(bar)1= Standard error of the difference =
The null hypothesis: H , :0 The alternative hypothesis: H :0 Н 1 The type of test statistic: (Choose one) v The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) Can we reject the claim that the mean annual income of teachers from Utah is greater than or equal to the mean annual income of teachers from Oregon? Yes No
If the weekly grocery expenditure of households in a certain urban market is known to be normally distributed with a mean of $150 and a standard deviation of $30, what proportion of the households spend between $110 and $160 per week on groceries?
According to a dietary study. high sodium in take may be related to ucers. stomach cancer. and migraine headaches. The human requirement for salt is only 220 milligrams per day. which is surpassed in most single servings of ready-to-eat cereals. If a random sample of 20 similar servings of a certain cereal has a mean sodium content of 244 milligrams and a standard devlation of 24.5 miligrams, does this suggest at 0.05 level of significance that the average sodlum content for a single serving of such cereal is greater than 220 milligrams? The p-value of the test statistic in 6 decimal places and the critical value in two decimal places is: example answer: 0.123456 and 1.23
An article in the San Jose Mercury Newsstated that students in the California state university system take 4.5 years,on average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of 89 students and obtain a sample mean of 5.3 with a sample standard deviation of 1.4. Do the data support your claim at the 1% level?
Is it worth pursuing a doctoral degree in education if you already have an undergraduate degree? One way to help make this decision is to look at the mean incomes of these two groups. Suppose that 1212 people with bachelor’s degrees in education were surveyed. Their mean annual salary was $42,000$⁢42,000 with a standard deviation of $9800$⁢9800. Fifteen people with doctoral degrees in education were found to have a mean annual salary of $50,000$⁢50,000 with a standard deviation of $9200$⁢9200. Assume that the population variances are not the same. Construct a 90%90% confidence interval to estimate the true difference between the mean salaries for people with doctoral degrees and undergraduate degrees in education. Let Population 1 be the salaries for people with doctoral degrees and Population 2 be the salaries for people with undergraduate degrees. Round the endpoints of the interval to the nearest whole number, if necessary.
One year Terry had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school, with an ERA of 2.98. Also, Karla had the lowest ERA of any female pitcher at the school with an ERA of 3.37. For the males, the mean ERA was 4.456 and the standard deviation was 0.557. For the females, the mean ERA was 4.166 and the standard deviation was 0.635. Find their respective z-scores. Which player had the better year relative to their peers, Terry or Karla? (Note: In general, the lower the ERA, the better the pitcher.) Terry had an ERA with a z-score of Karla had an ERA with a z-score of (Round to two decimal places as needed.) Which player had a better year in comparison with their peers? OA. Karla had a better year because of a lower z-score. B. Terry had a better year because of a lower z-score. OC. Terry had a better year because of a higher z-score. OD. Karla had a better year because of a higher z-score.
A college administrator wants to see if students in different majors tend to have differing amounts of study time. The administrator collects the following data from 15 students in Sociology, 10 students in Engineering, and 12 students in History. The Sociology majors report an average of 10 hours studies per week and a standard deviation of 3 hours. The Engineering students report an average of 15 hours per week with a standard deviation of 7 hours. The History majors report an average of 12 hours studied and a standard deviation of 4 hours. The data can be summarized as follows: Major n Mean Study Hours Standard deviation Sociology 15 10 hours 3 hours Engineering 10 15 hours 7 hours History 12 12 hours 4 hours Does this data provide evidence for the notion that students in different majors study different amounts? Use α = .05
2. Suppose the weight of fish caught from the Santa Monica Pier is normally distributed. From a random sample of 20 recently caught fish, the sample mean is found to be 22.0 ounces and the sample variance is found to be 25.0 ounces. The Fish and Wildlife Department states that the true mean weight is 24.0 ounces. Fishermen claim that due to increased pollution in the bay, the true mean weight is less than 24.0 ounces. Test the claim of the Fish and Wildlife Department at α = 0.05 (or 5%). [14 pts total] What is the null hypothesis? [2 pt] a. Ο μ = 24 Ο μ 24 b. What is the one-sided alternative hypothesis? [2 pt] μ = 24 Ο μ 24 μ = 24 Draw a t-distribution for the alternative hypothesis. Label the mean and shade in the area(s) where you can reject the null hypothesis. [4 pts] d. Calculate and report the appropriate test statistic (3 sig figs) [4 pts] and make your conclusion [2 pts] Reject the null hypothesis Value of test statistic: Fail to reject the null hypothesis 2
In a 2015 study entitled How Undergraduate Students Use Credit Cards, it was reported that undergraduate students have a mean credit card balance higher than $3000. This figure was an all-time high and had increased 42% over the previous five years. Assume that a current study is being conducted to determine if it can be concluded that the mean credit card balance for undergraduate students has continued to increase compared to the report. They want to test to see if the balance for students in 2019 is higher than the balance for students in 2015. See the sample below of undergraduate students in 2015 and different undergraduate students in 2019. Credit Card Increase Students in 2015 Students in 2019 2500 3300 2200 5450 1500 8000 930 2000 5300 870 1150 250 2700 3000 3300 2200 What can we conclude from this t-test? a) Reject the null hypotesis OR Fail to reject the null hypotesis? b) We can conclude that the student balance in 2019 are significatly…

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