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 820 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 the mean amount of gamma radiation needed to sterilize a colony of tardigrades is not equal to 800 Gy a State the null hypothesis H and the alternative hypothesis that Ho you would use for the test Ho H 0 Student s t Distribution Step 1 Enter the number of degrees of freedom Step 2 Select one tailed or two tailed O One tailed OTwo tailed LL Step 3 Enter the test statistic Round to 3 decimal places 0 0 Step 4 Shade the area represented by the p value b Perform a test and find the p value Here is some information to help you with your test Step 5 Enter the p value Round to 3 decimal places X X The value of the test statistic is given by f OSO D O 0 0 00 The p value is two times the area under the curve to the right of the value of the test statistic S n 104 03 0 2 1117 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 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 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 800 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 800 Gy Since the p value is greater than the level of significance the null hypothesis is not rejected So X S 5 9 A M