www.ck12.orgChapter 1.Putting it TogetherCHAPTER1Putting it TogetherProfessor Reitz believes that she has more than 800of snow on her deck, if she takes the following measurementsusing a SRS, can she be 95% sure that the mean depth is greater than 800?7.9200, 8.300, 7.9800, 8.1200, 8.3100, 8.0500, 8.2700Look to the end of the lesson for the answer.Putting it TogetherBy now, you have learned all you need to know to test some real-life hypotheses. You know how to calculate themean of means,x, the sample standard deviation,σ, and how to referencezandtscores. You are familiar withconfidence intervals and confidence levels. You know when to use az-test, and when to use at-test, and you knowthe difference between a null and alternative hypothesis. If are unsure of your grasp of any of these concepts, returnto the appropriate lesson and review before moving on, otherwise, let’s put it all together!Just for reference, here are the formulas for calculating confidence intervals oftandztests:•T-test confidence interval=x±tα2s√n•Z-test confidence interval=x±za2×σ√nThe steps to test a single-mean hypothesis:1. Choose an appropriate test:1.Z-test ifσis known and if the population is known to be normal orn≥30.2.T-test isσis unknown and/orn<30.