A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 11 years. A survey of 94 companies reported in The Wall Street Journal found a sample mean tenure of 9.5 years for CEOS with a standard deviation of 4 years (The Wall Street Journal, January 2, 2007). You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of 0.05. Your hypotheses are: Ho:µ > 11 H1:µ < 11 What ie the test statietic for this sample?
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- 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…A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 10 years. A survey of 82 companies reported in The Wall Street Journal found a sample mean tenure of 7.9 years for CEOs with a standard deviation of 5.6 years (The Wall Street Journal, January 2, 2007).You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of 0.001. Your hypotheses are: H0:μ≥10H0:μ≥10 H1:μ<10H1:μ<10What is the test statistic for this sample? (Report answer accurate to 3 decimal places.)What is the p-value for this sample? (Report answer accurate to 4 decimal places.)The p-value is less than (or equal to) αα greater than αα This test statistic leads to a decision to reject the null accept the null fail to reject the null As such, the final conclusion is that there is sufficient evidence to…Research was being done on who makes more money right after college, a person with a sociology degree or a psychology degree. To test this, the researcher randomly selected 45 recent soclology graduates and found that the mean income they are recelving Is $53,900 with a standard devlation of $2,050. The researcher also randomly selected 40 psychology majors and found that the mean income they are receiving is $55,200 with a standard deviation of $3,850.Test the claim that the mean Income for psychology majors is more than the mean Income for soclology majors at the a-0.05 level of significance. Calculator Function [ Select] P-Value [ Select] Conclusion
- An economist was curious if the mean yearly amount of seafood consumed in Sweden is significantly different than the mean yearly consumption in the United States. They randomly selected 125 citizens in Sweden and determined their sample mean is 12 kg with a standard deviation of 5.2 kg. The 140 randomly selected U.S. citizens had a sample mean of 9.7 kg with a standard deviation of 5.8 kg. Is this sufficient evidence to say that the mean consumption is different? Which are the correct hypothesis statements for this situation? Hoμs Hus HAμs=Pus H。 ¦ µ¸ = Pus HAμs Hus Hoµs=Pus HAHs>Hus Hop=0.10 ΗΑ : μ > 0. 10After post-graduate study, Mike found a job as HR analyst in London. The company is currently recruiting Chief Marketing Officer. The HR department recently sent out a knowledge test to the applicants after the initial CV screening. At this stage of selection, the company does not invite the lowest scoring 30% back for the next face-to-face interview. According to the historical data, the test scores on this test are normally distributed and has a mean of 70 with standard deviation of 10. What mark (to the nearest whole number) must a candidate achieve in order to secure an interview? 2. How much is the 95% confidence interval for the test scores?A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to do a statistical test regarding the mean mnonthly mileage, u, of cars rented in the U.S. this year. The consumer group has good reason to believe that the mean monthly mileage of cars rented in the U.S. this year is greater than last year's mean, which was 2750 miles. The group plans to do a statistical test regarding the value of u. It chooses a random sample of monthly mileages and computes the mean of the sample to be 2900 miles and the standard deviation to be 700 miles. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? H.: OSuppose you've just been hired as a statistics professor, but you've never taught undergrads before. While you're doing your best, you're not sure you're fully up to par with all the other excellent statistics professors out there. You decide to look at your 41 students' grades on their midterm exam. They averaged grades of 81 on this exam, with a standard deviation of 10. You reason that if they're higher than normal, you might be making things too easy for them. Likewise, if they're lower than normal, you might be making things too hard. Seeking a Goldilocks effect, you compare this with the national average of statistics midterm exam scores - this is 79. BEING SPECIFIC, what kind of statistical analysis should you perform, and WHY? Three parts of your answer will factor into the grade on this answer: the type of statistical test, one specific aspect of this test (hint- see the earlier questions), and your explanation as to why.A psychologist is studying the self image of smokers, as measured by the self-image (SI) score from a personality inventory. She would like to examine the mean SI score, μ, for the population of all smokers. Previously published studies have indicated that the mean SI score for the population of all smokers is 85 and that the standard deviation is 15, but the psychologist has good reason to believe that the value for the mean has changed. She plans to perform a statistical test. She takes a random sample of SI scores for smokers and computes the sample mean to be 75. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? μ x H₁ : ☐ H₁:0 □<ロ □ㄨˇ OAn analyst is conducting a hypothesis test to determine if the mean time spent on investment research is different from 3 hours per day. The test is performed at the 1% level of significance and uses a random sample of 64 portfolio managers. where the mean time spent on research is found to be 2.7 hours. The population standard deviation is 1.5 hours. What is the value of the test statistic in this case?A researcher wants to know if men have a lower anxiety level than women in response to social rejection. The researcher brings 9 men and 16 women into a lab. He tells them all to write about a time they were socially rejected and he then measures their levels of anxiety using a 0-100 scale. The mean anxiety for men (A) was 81.67 with a standard deviation of 8.78. For women (B), he obtained a mean of 85.69 with a standard deviation of 4.8. A). What is the type of test you will use? (z-test, single-sample t-test, paired-samples t-test, or independent samples t-test) and why (what information provided in the problem) B). What are the hypotheses (Be Specific)USA TODAY (October 14, 2016) reported that Americans spend 4.1 hours per weekday checking work email. This was an estimate based on a survey of 1,004 white-collar workers in the United States. (a) Suppose that you would like to know if there is evidence that the mean time spent checking work email for white-collar workers in the United States is more than half of the 8-hourwork day. What would you need to assume about the sample in order to use the given sample data to answer this question? (Select all that apply.) We would need to assume that all white-collar workers were surveyed or the sample is representative of the population of white-collar workers in the United States.We would need to assume that all observations are dependent or all observations are independent.We would need to assume that the distribution of the population of times is normal or that the sample size is small.We would need to assume that the sample was randomly selected or is representative of the population…Many people consider their smart phone to be essential! Communication, news, Internet, entertainment, photos, and just keeping current are all conveniently possible with a smart phone. However, the battery better be charged or the phone is useless. Battery life of course depends on the frequency, duration, and type of use. One study involving heavy use of the phones showed the mean of the battery life to be 11.25 hours with a standard deviation of 3.3 hours. Then the battery needs to be recharged. Assume the battery life between charges is normally distributed. (a) Find the probability that with heavy use, the battery life exceeds 12 hours. (Round your answer to four decimal places.)(b) You are planning your recharging schedule so that the probability your phone will die is no more than 5%. After how many hours should you plan to recharge your phone? (Round your answer to the nearest tenth of an hour.) hoursSEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. 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