B individuals in a sample was asked to éstimate the I was 191 and the sample standard deviation was 88. Doe ual content? Test the appropriate hypotheses at significance
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- In one city, the average amount of time that tenth-graders spend watching television each week is 23 hours. The principal of Birchwood High School believes it is less for the 10th grade students that at his school. For a sample of 95 tenth-graders from the school, the mean amount of time spent watching television per week was 21.9 hours. Assuming a population standard deviation of 3.1 hours, does the data provide sufficient evidence to conclude that for all tenth-graders at Birchwood High school, the mean amount of time spent watching television per week is less than the city average of 23 hours? Perform the appropriate hypothesis test using a significance level of 0.005. What are the hypotheses? What is the test statistic? Is it a z or a t? Find the P-value for this test statistic. How does it compare to the significance level? On the normal curve, indicate the location of the test statistic and the p-value. (label them on the graph) Write…The National average GRE scores of graduate students in the US is known to be 500 (μ) with standard deviation (σ)of 100. The University of Smart Kids in Indiana boasts that their incoming graduate students have higher aptitude (asmeasured by GRE) than the national average. To substantiate the claim, the university randomly selects the GREscores of 1000 (n) incoming students and finds the average for the sample to be 575 (#$). Does the data provideenough evidence to support that claim?A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles. Using α=0.05α=0.05, is the data highly inconsistent with the claim?