Example Exercise: 7.11 (OpenIntro Statistics / Advanced High School Statistics)

Slides are available at:
drive.google.com/open?id=1wnn...
Georgianna claims that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons. We have a random sample of 20 children from the city, with a mean of 4.6 years of piano lessons and a standard deviation of 2.2 years.
(a) Evaluate Georgianna’s claim using a hypothesis test.
(b) Construct a 95% confidence interval for the number of years students in this city take piano lessons, and interpret it in context of the data.
(c) Do your results from the hypothesis test and the confidence interval agree? Explain your reasoning.
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[@JP-bk5im]

how tf u find a p value without a calculator?

[@dosadoodle]

Are you up for using statistical software on a computer or do you want to go super old school and use a distribution table (i.e. something you can print out)?