resilience In examining the effects of radiation on
Last updated: 5/23/2023
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 1350 Gy grays For comparison humans cannot withstand more than 10 Gy A random sample of 19 tardigrade colonies found that the amount of gamma radiation needed to sterilize a colony had a sample mean of 1325 Gy with a sample standard deviation of 75 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 that the mean amount of gamma radiation needed to sterilize a colony of tardigrades is not equal to 1350 Gy a State the null hypothesis H and the alternative hypothesis that 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 O Two tailed b Perform a hypothesis test The test statistic has a distribution so the test is a test Here is some other information to help you with your test Step 3 Enter the critical value s Round to 3 decimal places Step 4 Enter the test statistic Round to 3 decimal places T H 10 025 is the value that cuts off an area of 0 025 in the right tail The value of the test statistic is given by S 04 03 02 01 Since the value of the test statistic lies in the rejection region 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 1350 Gy H X Since the value of the test statistic lies in the rejection region 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 1350 Gy 0 0 000 O Since the value of the test statistic doesn t lie in the rejection region 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 1350 Gy 20 0 0 0x0 O Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is not rejected So there is not enough evidence to support the claim that the mean amount of X 3 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 S TEHS An M