The average retirement age in America is 62 years old. Gerardo thinks that yoga teachers owners retire at age that is younger than average. The data below shows the results of a survey of yoga...

Extracted text: The average retirement age in America is 62 years old. Gerardo thinks that yoga teachers owners retire at age that is younger than average. The data below shows the results of a survey of yoga teachers about the age where they retired. Assume that the distribution of the population is normal. 49, 65, 66, 65, 51, 65, 51, 47, 57, 60, 66 Download CSV or cut and paste into Desmos E. We want to test Gerardo's claim at the 0.09 level of significance. i) For this study, which type of test should we use? t-test for a population mean ii) The null and alternative hypotheses would be: Но: 62 На: 62 ii) The test statistic is 1.59 (Please round your answer to 2 decimal places.) iii) The p-value = 0.072 (Please round your answer to 3 decimal places.) iv) What is our conclusion regarding the null hypothesis? Explain. The data suggest the population mean number of retire teachers that own a yoga store is not significantly less than 62 years old at 0.09 level, so there is insufficient evidence to conclude that the population mean number of retire teachers that own a yoga store is younger than 62 years old. v) What is our final conclusion about Gerardo's claim? If the population mean of retires that own a yoga store is 62 years old and if the survey another 11 teachers then there would be a 9% chance that we would end up falsely concluding that the population mean number of retire that are in yoga's is younger than 62 years old.