A gaming company claimed that their role-playing games take over 65 hours to complete. A sample of 300 gamers played their role-playing games and were able to complete them with a mean time of 63, hours with a standard deviation of 10 hours. Using a 1% level of significance, test the gaming company's hypothesis.
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- Suppose Michigan State University's Collegiate Employment Institute found that starting salaries for recipients of bachelor's degrees in business was $50,032 in 2017. The results for a sample of 100 business majors receiving a bachelor's degree in 2018 showed a mean starting salary of $51,277 with a sample standard deviation of $5,200. Conduct a hypothesis test to determine whether the mean starting salary for business majors in 2018 is greater than the mean starting salary in 2017. Use ? = 0.01 as the level of significance. State the null and alternative hypotheses. (Enter != for ≠ as needed.) H0: Ha: Find the value of the test statistic. (Round your answer to three decimal places.) = Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. (A) Reject H0. There is sufficient evidence to conclude that the mean starting salary for business majors has increased in 2018. (B) Do not reject H0. There is sufficient evidence to…A luxury furniture manufacture will make custom furniture for their customers. Pricing is based on the number of hours of skilled labor it takes to make a piece. The time it takes to make a custom couch is normally distributed with an average of 280 hours and a standard deviation of 40 hours. What percent of custom couches take 255 hours or less to make? How long would it take to build a couch that is in the 95th percentile?A survey found that the mean commute time is 25.4 minutes for the fifteen largest U.S. cities.The Austin, TX, chamber of commerce feels that Austin's commute time is less. A survey of 25 randomly selected commuters had a mean of 22.1 minutes with a standard deviation of 5.3 minutes. At the 10% level, does the survey data suggest that Austin commute time is significantly less than the national average? Your answer should have the following: 1). Null hypothesis:2). Alternative hypothesis: 3). Test Type: P-test
- Suppose Michigan State University's Collegiate Employment Institute found that starting salaries for recipients of bachelor's degrees in business was $50,032 in 2017. The results for a sample of 100 business majors receiving a bachelor's degree in 2018 showed a mean starting salary of $51,279 with a sample standard deviation of $5,200. Conduct a hypothesis test to determine whether the mean starting salary for business majors in 2018 is greater than the mean starting salary in 2017. Use ? = 0.01 as the level of significance. State the null and alternative hypotheses. (Enter != for ≠ as needed.) H0: Ha: Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0. There is insufficient evidence to conclude that the mean starting salary for business majors has increased in 2018. Reject H0. There is sufficient evidence to conclude that…Help me please asap.. Do not use chatgpt or any AI software. Thank youMany 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.) hours
- 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 $205. 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. State the appropriate null and alternative hypotheses. H0: ? = 907 Ha: ? < 907 H0: ? = 907 Ha: ? > 907 H0: ? < 907…A public health survey was carried out to estimate the total number of alcohol bottles consumed by the population of adults in a week at Kiwanja neighbourhood. The mean was found to be 16 bottles with a standard deviation of 4 bottles. The health authorities’ guidelines advise that it is healthy for people to consume fewer than 12 bottles a week. What proportion of the population did so? It is desirable to consume between 12 and 18 bottles of alcohol a week. What proportion of people was within this range? It is known that it is dangerous to consume more than 25 bottles a week. How many adults out of a sample of 200 over consumed alcohol?10
- A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a mean of 128 ounces and a standard deviation of 0.40 ounce. You randomly select 45 cans and carefully measure the contents. The sample mean of the cans is 127.9 ounces. Does the machine need to be reset? Explain your reasoning. it is that you would have randomly sampled 45 cans with a mean equal to 127.9 ounces, because it within the range of a usual event, namely within of the mean of the sample means.The ACCUPLACER is a college readiness exam. The scores for the math section are normally distributed with a mean of 75 and standard deviation of 8. A college policy is that the bottom 15% of test takers are required to take a remedial math course over the summer. Students who score below what score will have to take the summer course?Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. The students in group 1 were asked to spend 5 minutes thinking about what it would mean to be a professor, while the students in group 2 were asked to think about soccer hooligans. These pretest thoughts are a form of priming. The 200 students in group 1 had a mean score of 26.3 with a standard deviation of 5.2, while the 200 students in group 2 had a mean score of 17.6 with a standard deviation of 2.8. Complete parts (a) and (b) below. (a) Determine the 90% confidence interval for the difference in scores, μ1−μ2. Interpret the interval. The lower bound is nothing. The upper bound is nothing. (Round to three decimal places as needed.)