A market analyst company monitors and reports on Intermet Browser usage. According to a study by this company. "Browser XYZ had a market share of 20% The parent company of "Internet Browser XYZ wants to target ALL internet browser users in its promotion strategy to increase its market share further. The parent compyny has randomly selected a sample of 15 Internet Browser users from the target population for its study. What is the numerical value of "Mean" for the probability distribution in this problem? O 20 O 15 O 02 O Cannot be determined
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- An LED light bulb manufacturer claims that the average lifespan of its 60-watt LED light bulbs is 43,000 hours.A corporate watchdog group is suspicious of the company's claim and thinks that the true average lifespan of the 60-watt LED light bulbs produced by the company may be less than the advertised 43,000 hours. The group collected and tested a random sample of 240 light bulbs and found the average lifespan of the sample was 42,958 hours.Use the p-value method to test the hypothesis that the mean lifespan of this brand of 60-watt LED light bulb is less than 43,000 hours, using α=0.025α=0.025. Assume the standard deviation of the lifespan of all such light bulbs is known to be 430 hours.State the null and alternative hypothesis for this test.H0:H0: H1:H1: Determine if this test is left-tailed, right-tailed, or two-tailed. right-tailed two-tailed left-tailed Should the standard normal (zz) distribution or Student's (tt) distribution be used for this…Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 900 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy .) A study was conducted on a sample of 27 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 907 Gy , with a sample standard deviation of 17 Gy . Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ , the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 900…Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 900 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy .) A study was conducted on a sample of 27 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 907 Gy , with a sample standard deviation of 17 Gy . Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ , the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 900…
- A consulting firm had predicted that 30% of employees at a large firm would take advantage of a new company Credit Union, but management is skeptical. They felt the rate would be lower. A survey of 250 employees shows that 82 of them are currently taking advantage of the Credit Union. Calculate the appropriate test statistic based on this data.A large nationwide survey showed that 65% of high school students like Coca-Cola better than Pepsi. Dr.Johnson conducted a small survey of randomly selected high school students in Michigan and found that 180 ofthe 300 surveyed students liked Coca-Cola better than Pepsi. Test if the proportion of students that preferCoca-Cola over Pepsi is significantly different than the percentage indicated by the nationwide survey with asignificance level of 5%.Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 1350 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy .) A study was conducted on a sample of 18 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 1375 Gy , with a sample standard deviation of 75 Gy . Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ , the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 1350 Gy .
- A nutrition store in the mall is selling “Memory Booster,” which is a concoction of herbs and minerals that is intended to improve memory performance, but there is no good reason to think it couldn't possibly do the opposite. To test the effectiveness of the herbal mix, a researcher obtains a sample of 8 participants and asks each person to take the suggested dosage each day for 4 weeks. At the end of the 4-week period, each individual takes a standardized memory test. In the general population, the standardized test is known to have a mean of μ = 7. The scores for the 8 participants are 12, 11, 13, 15, 8, 11, 13, 15 (Set the significance level a = .05)A large manufacturing company investigated the service it received from its suppliers and discovered that, in the past, 41% of all material shipments were received late. However, the company recently installed a just-in-time system in which suppliers are linked more closely to the manufacturing process.A random sample of 150 deliveries since the just-in-time system was installed reveals that 29 deliveries were late. If we want to test whether the proportion of late deliveries was reduced significantly at α = 0.10. Calculate the null and alternative hypothese.Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. The p-value for the test of whether the proportion of people who trade in their old cars to a car dealer has decreased is 0.0427. If we were to test this hypothesis at the 5% level of signficance, what can you conclude concerning the null hypothesis?
- It was reported that only one job vacancy was available for three recent college graduates. The main reason is that there is an excess of college graduates and a weak national economy. A survey of 100 recent graduates from your college reveals that 60 graduates have found work. At the 0.05 level of significance, can we conclude that the proportion of graduates who have found employment is greater?a study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. to investigate whether this resultapplies to its own product, the manufacturer of a national name-brand ketchup asked asample of shoppers whether they believed that supermarket ketchup was as good as thenational brand ketchup.a. formulate the hypotheses that could be used to determine whether the percentage ofsupermarket shoppers who believe that the supermarket ketchup was as good as thenational brand ketchup differed from 64%.b. if a sample of 100 shoppers showed 52 stating that the supermarket brand was as goodas the national brand, what is the p-value?a study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. to investigate whether this resultapplies to its own product, the manufacturer of a national name-brand ketchup asked asample of shoppers whether they believed that supermarket ketchup was as good as thenational brand ketchup.a. formulate the hypotheses that could be used to determine whether the percentage ofsupermarket shoppers who believe that the supermarket ketchup was as good as thenational brand ketchup differed from 64%.b. if a sample of 100 shoppers showed 52 stating that the supermarket brand was as goodas the national brand, what is the p-value?c. at a = .05, what is your conclusion?d. Should the national brand ketchup manufacturer be pleased with this conclusion?explain.