#3ETardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation onorganisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has amean of 900 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy.) A random sample of 27 tardigradecolonies found that the amount of gamma radiation needed to sterilize a colony had a sample mean of 909 Gy, with a samplestandard deviation of 17 Gy. Assume that the population of amounts of gamma radiation needed to sterilize a colony oftardigrades is approximately normally distributed.80F3Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, tosupport that µ, the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 900 Gy.(a) State the null hypothesis Ho and the alternative hypothesis H₁ that you would use for thetest.Ho: DH₁: D(b) Perform a hypothesis test. The test statistic has a distribution (so the test is a " test"). Here is some otherinformation to help you with your test.¹0.025¹is the value that cuts off an area of 0.025 in the right tail.$4The value of the test statistic is given by 1=Step 1: Enter thenumber of degrees offreedom.Step 2: Select one-tailed or two-tailed.O One-tailedO Two-tailedStep 3: Enter thecritical value(s).(Round to 3 decimalplaces.)Step 4: Enter the teststatistic.contentOOD000F4R-2%5F5X μ(c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claimmade by the expert.Since the value of the test statistic lies in the rejection region, the null hypothesis isrejected. So, there is enough evidence to support the claim that the mean amount ofgamma radiation needed to sterilize a colony of tardigrades is not equal to 900 Gy.TSince the value of the test statistic lies in the rejection region, the null hypothesis isnot rejected. So, there is not enough evidence to support the claim that the meanamount of gamma radiation needed to sterilize a colony of tardigrades is not equal to900 Gy.0.4Since the value of the test statistic doesn't lie in the rejection region, the nullhypothesis is rejected. So, there is enough evidence to support the claim that the^0.360.20.1F6XMacBook AirY&7Submit AssignmentⒸ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | AccessibilitySF7XUOSO D8DIIF8Śl9Español?4ELF91004F10

Given that Sample size n =27 Sample mean=909 Standard deviation =17

Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on Español organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 900 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy.) A random sample of 27 tardigrade colonies found that the amount of gamma radiation needed to sterilize a colony had a sample mean of 909 Gy, with a sample standard deviation of 17 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 μ, the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 900 Gy. (a) State the null hypothesis Ho and the alternative hypothesis H, that you would use for the test. Ho: D H₁: 0 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 -- X-H Step 1: Enter the number of degrees of freedom. Step 2: Select one- tailed or two-tailed. O One-tailed o Two-tailed Step 3: Enter the critical value(s). (Round to 3 decimal places.) Step 4: Enter the test statistic. content (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. 0.4 0.3 0.2 0.1 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 900 Gy. 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 900 Gy. 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 mended to madlonderlans H OO S ローロ Ś *0 Submit Assignment 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility B P