Question 19 Espanol Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 1200 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy.) A study was conducted on a sample of 21 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 1225 Gy, with a sample standard deviation of 63 Gy. Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to support the claim that H, the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 1200 Gy. (a) State the null hypothesis Ho and the alternative hypothesis H, that you would use for the test. M Ho: X H: I 020 0=0 0#0 X ? (b) Perform a t test and find the p-value. Here is some information to help you with your & test. x - H . The value of the test statistic is given by t = S Jn urve to the right of the value of the test statistic