In a chemical process, the amount of a certain type of impurity in the output is difficult to control and is thus a randomvariable. speculation is that the population mean amount of the impurity is 0.20 gram per gram of output. it is known thatthe standard deviation is 0.1 gram per gram. an experiment is conducted to gain more insight regarding the speculationthat u = 0.2 the process is run on a lab scale 50 times and the sample average 3% turns out to be 0.23 gram per gram. comment on the speculation that the mean amount of impurity is 020 gram per gram. make use of the central limittheorem in your work.

Do social recommendations increase ad effectiveness? a study of online video viewers compared viewers who arrived at an advertising video for a particular brand by following a social media recommendation link to viewers who arrived at the same video by web browsing. data were collected on whether the viewer could correctly recall the brand being advertised after seeing the video. the results are given below.correctly recalled the brandarrival 409153browsing20484b. conduct the hypothesis test, using the 0.025 level of significance.what is the value of the test statistic? χ2stat=what is the p-value? p-value=is this value significant atα=0.025?