Introduc v (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 800 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy.) A study was conducted on a sample of 15 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 780 Gy, with a sample standard deviation of 42 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 u, the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to D 800 Gy. (a) State the null hypothesis / and the alternative hypothesis If, that you would use for the test. Ho: D (b) Perform a r 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 til 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 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. Based on your answer to part (b), choose what can be concluded, at the 0.10 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 equal to 800 Gy. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is