Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on arganisms, an expert claimed thatthe amount of gamma radiation needed to sterilize a colany of tardigrades no longer has a mean of 1200 Gy (grays). (For comparison, humans cannot withstandmore than 10 Gy.) A study was conducted on a sample of 21 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed tosterilize a colony had a sample mean af 1225 Gy, with a sample standard deviation of 65 Gy. Assume that the population of amounts of gamma radiationneeded 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 af significance, to support the claim that H, the meanamount of gamma radiation needed to sterilize a colony of tardigrades, is nat equal to 1200 Gy.(a) State the null hypothesis and the alternative hypathesis H, that you would use for the test.H(b) Perform af test and find the p-value.Here is some information to help you with your I test.• The value of the test statistic is given by I=The p-value is two times the area under the curve to the right of the value of the test statistic.Student's t Distribution04Step 1: Enter the number of degreesaf freedom.Step 2: Select ane-lailed or two-tailed.O One-laledO Twa-tailedStep 3: Enter the test statistic.(Round to 3 decimal places.)Step 4: Shade the area represented bythe p-value.Step 5: Enter the p-valu.(Round to 3 decimal places.)(c) 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.O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there isenough evidence to support the claim that the mean amount of gamma radiation needed to sterilize a colony oftardigrades is not equal to 1200 Gy.O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is nat rejected. So, there isnot enough evidence to support the daim that the mean amount of gamma radiation needed to sterilize a colony oftardigrades is not equal to 1200 Gy.O since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enoughevidence to support the claim that the mean amount of gamma radiation needed to sterilize a colony of tardigrades isnot equal to 1200 Gy.O since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enoughevidence to support the claim that the mean amount of gamma radiation needed to sterilize a colony of tardigrades isnot equal to 1200 Gy.O O

Tardigrades, or water bears, are a type af micro-animal famous for their resillience. In examining the effects of radiation an arganisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 1200 Cy (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 03 Gy, Assume that the population of amounts of gamma radiation needed to sterilie 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, ta support the claim that H, the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is nat equal to 1200 Gy, (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H O H: 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 = 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 umber of degres of freedom. Stup 2: Sedect one-talad or two-tailed. O Oe-laled O Twotailed Step 3: Enter the test statistic. (Roand to a decimal places.) Step 4: Shade the area represented by the pvalue. Situp 5: Enter the pvala. (Round to a decimal placs.) (c) 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. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Sa, 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 1200 Cy. O Since the p-value is less than (or equal to) the level of signiticance, the null hypothesis is not rejected. So, there is not enough evidence to support the daim that the mean amount of gamma radiation needed to sterilize a colony of tardigrades is not equal to 1200 Gy.