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 950 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy.) A study was conducted on a sample of 24 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 965 Gy, with a sample standard deviation of 43 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 , the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 950 Gy. (a) State the null hypothesis No and the alternative hypothesis /, that you would use for the test. Ho : 0 # 1 : 0 030 0-0 0-0 (b) Perform a / test and find the p-value. Here is some information to help you with your / test. . The value of the test statistic is given by - - H The p-value is two times the area under the curve to the right of the value of the test statistic. Student's t Distribution Step 1: Enter the number of degrees of freedom. Step 2: Select one-tailed or two-tailed. One-tailed O Two-tailed Step 3: Enter the test statistic. (Round to 3 decimal places.) Step 4: Shade the area represented by the p- value. X (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 a radiation needed to sterilize a colony of tardigrades is not equal to 950 Gy