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 1300 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy.) A study was conducted on a sample of 26 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 1272 Gy, with a sample standard deviation of 65 Gy. Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approxim 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 i, the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 1300 Gy. (a) State the null hypothesis Ho and the alternative hypothesis //, that you would use for the test. Ho H: D 020 0-0 0-0 X 5 ? (b) Perform a / test and find the p-value. Here is some information to help you with your f test. . The value of the test statistic is given by ? = - . The p-value is two times the area under the curve to the left of the value of the test statistic. Student's t Distribution freedom. p 1: Enter the number of degrees of Step 2: Select one-tailed or two-tailed O One-tailed 03 - Two-talied Round to 1 decim nd to 3 decimal places.) Step 4: Shade the area represented by the p-value. 4 step 5: Enter the p-value. (Round to 3 decimal places.) X 5 (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the expert. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean amount of gamma radiation needed to sterilize a colony of tardigrades is not X ? equal to 1300 Gy. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean amount of gamma radiation needed to sterilize a colony of tardigrades is not equal to 1300 Gy. Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean amount of gamma radiation needed to sterilize a colony of tardigrades is not equal to 1300 Gy. Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean amount of gamma radiation needed to sterilize a colony of tardigrades is not equal to 1300 Gy