Kruti tests 97 participants to determine if people can increase self-love. She chooses an alpha level of .05. Kruti should conduct a t-test and the critical t value(s) is/are one-tailed; +1.6609 one-tailed; +2.3658 O two-tailed; -1.6609 and +1.6609 O two-tailed; -1.9850 and +1.9850
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- To check the activation level of data scientists, a population of data scientists was asked to play games for a fixed time duration and their brain activation levels were tested. The outcome of this research stated that playing the mobile games for a fixed time duration improved the concentration level with an average brain activation level of 100 units. If a sample of 12 data scientists were tested for the same experiment, the brain activation levels were reported as follows: 105, 90, 91, 96, 96, 91, 100, 105, 99, 107, 103 and 92 a. Does this data suggest that the population mean reading for the brain activation level under the given conditions differs from 100? State and test the appropriate hypotheses using a significance level of 0.05. b. Find the 90% confidence interval, and check whether the above given sample lies within this interval or not?In 2017, 32% of business owners gave a holiday gift to their employees. A 2018 survey of 33 business owners indicated that 19% plan to provide a holiday gift to their employees. Is there a reason to believe the proportion of business owners providing gifts has decreased at α=0.05? Based on the hypothesis, what is the critical value, the test statistic and the conclusion?An analysis was conducted by the Statistics Consulting Center atVirginia Polytechnic Institute and State University in which acertain treatment was applied to a set of tree stumps. The chemicalGarlon was used the with the purpose of regenerating the roots ofthe stumps. A spray was used with four levels of GarlonPage 23 of 23concentration. After a period of time the height of the shoots wasobserved. Does the concentration of Garlon has a significantimpact on the height of the shoots? Use α = 0.05.
- An inventor, working at a science tech lab, believes innovations in satellites are increasing. The inventor would like to test the claim that the average number of new ideas for satellite development per month at the science tech lab is over 60 new ideas. Using the computed test statistic of 1.05 and the critical value of 1.28, is there enough evidence for the inventor to reject the null hypothesis? Use the graph below to interpret the critical value. First select the appropriate test type (left-, right-, or two- tailed), then plot the points along the x-axis (for the critical value and test statistic), and use them to choose the appropriate interpretation.A geneticist conducted a hybridization experiment with peas, which resulted in offspring consisting of 410 peas with green pods and 150 peas with yellow pods. According to Mendel’s theory, 1/4 of the offspring peas should have yellow pods. Use a 0.05 significance level to test the claim that the proportion of peas with yellow pods is equal to 0.25. Provide answers below.A quality control expert at a local dairy claims that its cartoons contain more than 64oz of milk a sample of 15 cartoons reveals a mean of 65 and 1.1 oxs respectively. At the 1% level, does the appropriate hypothesis support his claim? find and interpret the p value
- 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 researcher tests reaction time of each group of 14 individuals twice once while in a very hot room and once while in a normal temperature room. What kind of t-test should be used?
- The lightbulbs in an industrial warehouse have been found to have a mean lifetime of 1030.0 hours. The warehouse manager has been approached by a representative of Extendabulb, a company that makes a device intended to increase bulb life. The manager is concerned that the average lifetime of Extendabulb-equipped bulbs might not be any greater than the 1030 hours historically experienced. In a subsequent test, the manager tests 23 bulbs equipped with the device and finds their mean life to be 1079.61 hours. The underlying data are in lifetime.csv datafile. lifetime868114410841292115496511028351232995115411601220130210141060857888997942131511141137 Use R or otherwise to indicate which one of the following best answers the manager’s question. a. The p.value of the test is 0.1146. We can conclude that there is no evidence to reject the null hypothesis of the mean lifetime of all lightbulbs produced in the warehouse is 1030.0 hours at significance level of 0.1. b. The p.value of the test…According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.33.Suppose a random sample of 109 traffic fatalities in a certain region results in 47that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the α=0.05 level of significance?In previous years, 46% of candidates taking a Business Analytics exam have passed and have therefore been exempt from one prerequisite course. Resources made available such as tutoring and library prep books have improved the passing rates of candidates. In a sample of 300 recent applicants, 150 passed the exam. At the 0.01 level of significance, can we conclude that the proportion of candidates passing the exam has increased? Determine and interpret the p value for the test.