9) In 2015, the average math SAT score for students at South Hanover High School was 520. Five years later, ateacher wants to perform a hypothesis test to determine whether the average math SAT score of students atthe school has changed since 2015. The hypotheses are:12) A state fish hatchery raises trout for stocking streams and lakes. The size of the fish at release time can becontrolled to a fair degree by varying the rate of feeding. The target is a mean of 10 ounces; if the fish are toosmall, those who catch the fish aren't happy. A random sample of 75 fish were weighed at time of release andit was determined that the mean was 9.66 ounces with a standard deviation of 0.86 ounces. Test todetermine if the fish being released have a population mean less than 10 ounces at the 0.01 significance level.Ho : H = 520Ha : µ # 520Suppose that the results of the sampling lead to acceptance of the null hypothesis. Classify that conclusion asa Type I Error, a Type II Error, or a correct decision, if in fact the average math SAT score of students at theschool is equal to 520.10) A man is on trial accused of murder in the first degree. The prosecutor presents evidence that he hopeswill convince the jury to reject the hypothesis that the man is innocent. This situation can be modeled as ahypothesis test with the following hypotheses:Ho: The defendant is innocentHa : The defendant is guilty.Suppose that the null hypothesis is rejected, in other words, the defendant is found guilty. Classify thatconclusion as a Type I error, a Type Il error, or a correct decision, if in fact the defendant is innocent.13) Clark Barr makes a claim that 15% of all students who take statistics drop out. Rosetta Stone decides totest his claim, since she believes that the dropout rate is greater than 15%.160 students currently enrolled in a statistics course. In her sample, Rosetta finds that of the 160 students, 30dropped out. Test to determine the validity of Clark Barr's claim at the 0.10 significance level. (Show all sevensteps.)Rosetta uses a random sample of11) An automobile manufacturer advertises that one of its models of cars achieves 28 miles per gallon forhighway driving. A consumer advocacy group claims that the advertisement is incorrect and selects a randomsample of 32 nonprofessional drivers and each one drives the car from West Windsor, NJ to Washington, DC.The mean miles per gallon was determined to be 27.3 mpg with a standard deviation of 2.69. Assuming fuelefficiency is normally distributed under these circumstances, test the advocacy's claim at a = 0.05. (Show allsteps.)

Name: 9) In 2015, the average math SAT score for students at South Hanover
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: 9) In 2015, the average math SAT score for students at South Hanover High School was 520. Five years later, ateacher wants to perform a hypothesis test to determine whether the average math SAT score of students atthe school has changed since 2015.

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