Answer Happy

Question 1: The mean score on the math part of the SAT (SAT-M) of all community college students in a hypothetical state is reported to be 480. Based on a large body of research that was done on the SAT, it is known that the scores roughly follow a normal distribution with the standard deviation o is 100. The STEM department at one school wishes to determine if the average SAT-M score of entering freshman is different for their school than in the state. The researcher selects a random sample of 150 entering freshman at his school and records their SAT-M score. The sample average SAT-M score is found to be 510. Test the claim that the SAT-M score at the school is different than other students in the state at the .05 significance level The Hypotheses and the Claim His the true average SAT-M score of the entering freshman at the school Ho: = 480 Ha: H 7 480 (claim) The Sampling Distribution and the Test Criteria

x is the average SAT-M score of the 150 selected entering freshman at the school The sample is selected from a population that is generally normal with a known standard deviation. Therefore the sampling distribution of sample means is X=ZA The sampling distribution based on the null hypothesis has mean Hi = 480 and the standard error of the 100 100 -= 8.165 150 mean is 12.247 us ). The alternate hypothesis is H 7 480 so the test is a two-tailed test and the significance level is a = .05. Decision Rule: Reject the null hypothesis if __(answer b). Execute the Test x=500 X-WE 500 - 480 II 2x 100//150 20 8.165 ox 2.45

2.45 Compare the value of 23 to that in the decision rule and make a decision. Decision: _(answer c)_ _the null hypothesis. Conclusion At the 0.05 significance level, _(answer d) claim that the average SAT-M score of entering freshman at the school is different that the average SAT-M score in the state. Question 1: Open StatCrunch from the link on the Modules page of the course and use the tools to complete the hypothesis test. a) Click Stat ->Z Stats -> One Sample -> With Summary From the problem above, o enter the value of the test statistic, X, into the sample mean field, enter the value of the population standard deviation in the standard deviation field, and enter the of the com into the

Question 1: The mean score on the math part of the SAT (SAT-M) of all community college students in a hypothetical state is reported to be 480. Based on a large body of research that was done on the SAT, it is known that the scores roughly follow a normal distribution with the standard deviation o is 100. The STEM department at one school wishes to determine if the average SAT-M score of entering freshman is different for their school than in the state. The researcher selects a random sample of 150 entering freshman at his school and records their SAT-M score. The sample average SAT-M score is found to be 510. Test the claim that the SAT-M score at the school is different than other students in the state at the .05 significance level The Hypotheses and the Claim H is the true average SAT-M score of the entering freshman at the school Họ: A = 480 Ha: H 7 480 (claim) The Sampling Distribution and the Test Criteria

sample size field. o select Hypothesis test for Mu, enter the presumed population mean from the null hypothesis in the Ho: Mu = field, and select the correct inequality for Ha. o select Show Critical Value and enter the significance level (do NOT click store in data table) o click Compute! From the output field. o click Options, click Copy, follow directions for 'To copy text/tables to paste the result in the answer field. No credit will be give for question 1 if the chart is not correct copied and EMBEDDED into the answer field below. b) Refer to the chart in a) and give the complete the decision rule c) Which output in the chart in a) corresponds to 2 when executing the test? What is the decision in this test? Why? d) Based on the decision, complete the conclusion.