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Do 1 problem in which you do a 1-sample hypothesis test with statistics (mean).

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## Do 1 problem in which you do a 1-sample hypothesis test with statistics (mean).

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**Do 1 problem in which you do a 1-sample hypothesis test with**statistics (mean). Veronica Coronado Sandra Gomez**In the population, IQ scores are normally distributed**with a mean of 100. A charter school wants to know if their students have an IQ that is higher than the population mean. They take a random sample of 15 students and find that they have a mean IQ of 109 with a standard deviation of 23 .**Ho: µ = 100**Ha: µ > 100 And our parameter is all the students in the charter school.**Now we have to check our conditions to ensure they meet**limitations we are given. Random sample and Independence Normal Big population**Random sample and Independence, can be with or without**replacement: Each observation is collected randomly from the population, and observations are independent of each other. The sample can be collected either with or without replacement**2. Normal Either the population distribution is normal or**the sample size is large**3. Big population If the sample is collected without**replacement then the population must be at least 10 times larger than the sample size.**Fail to reject the null hypothesis. With an alpha level of**5% and p-value about 7.5% there is not sufficient evidence that all charter school students have a higher IQ than the population mean score.**According to the National Association of Colleges and**Employers, the average salary for a new college graduate • in 2013 was $45,327. A small academic program wants to know if the average salary of their graduates is different from $45,327. In a sample of 10 recent graduates, the average starting salary was $48,000 with a • standard deviation of $8,700. Assume the annual starting income for graduates of this program is approximately normally distributed**Ho: µ= 45,327**Ha: µ≠ 45,327 And our parameter is the average salary of all new college graduates of 2013.**Now we have to check our conditions to ensure they meet**limitations we are given. Random sample and Independence Normal Big population**Hypothesis test results:μ : Mean of populationH0 : μ =**45327HA : μ ≠ 45327**Fail to reject the null hypothesis. With the alpha level 5%**and a p-value about 35.6 %. There is not sufficient evidence to suggest the average salary of all new college graduates is different from the average of the National Association of Colleges and Employers.**1. What is the letter used to represent sample?**2. Once we’ve used Stat Crunch to analyze our data…what points must be made to justify a complete answer? 3. What’s the difference between a one tailed and a two tailed hypothesis?**4. Unless stated otherwise: what is the normal “rejection**zone”? 5. When would we reject or fail to reject the null? 6. If there is no indicated “rejection zone, what is the default that we use.