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 1150 Gy (grays). (For comparison, humans cannot 25 randomly selected tardigrade colonies, finding that the amount of gamma radiation withstand more than 10 Gy.) A study was conducted on a sample needed to sterilize a colony had a sample mean of 1165 Gy, with a sample standard deviation of 62 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 0.05 level of significance, to support the claim that u, the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 1150 Gy. (a) State the null hypothesis H and the alternative hypothesis H, that you would use for the test.

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