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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 850 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy.) A random sample of 28 tardigrade colonies found that the amount of gamma radiation needed to sterilize a colony had a sample mean of 836 Gy, with a sample standard deviation of 60 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 that μ, the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 850 Gy. (a) State the null hypothesis Ho and the alternative hypothesis , that you would use for the test. Ho: O • 10.05 is the value that cuts off an area of 0.05 in the right tall. x-μ The value of the test statistic is given by S √n e Student's t Distribution Step 1: Enter the number of degrees of freedom. (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 2: Select one- tailed or two-tailed. O One-tailed O Two-talled Step 3: Enter the critical value(s). (Round to 3 decimal places.) 0.4 0.3 0.2 H X 0.1 D< 020 X Oso > DO ? THE G

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 850 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy.) A random sample of 28 tardigrade colonies found that the amount of gamma radiation needed to sterilize a colony had a sample mean of 836 Gy, with a sample standard deviation of 60 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 that μ, the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 850 Gy. (a) State the null hypothesis Ho and the alternative hypothesis , that you would use for the test. Ho: O • 10.05 is the value that cuts off an area of 0.05 in the right tall. x-μ The value of the test statistic is given by S √n e Student's t Distribution Step 1: Enter the number of degrees of freedom. (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 2: Select one- tailed or two-tailed. O One-tailed O Two-talled Step 3: Enter the critical value(s). (Round to 3 decimal places.) 0.4 0.3 0.2 H X 0.1 D< 020 X Oso > DO ? THE G

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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20 F3 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 850 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy.) A random sample of 28 tardigrade colonies found that the amount of gamma radiation needed to sterilize a colony had a sample mean of 836 Gy, with a sample standard deviation of 60 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 that µ, the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 850 Gy. (a) State the null hypothesis Ho and the alternative hypothesis H, that you would use for the test. Ho: D 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-talled (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. ¹0.05 is the value that cuts off an area of 0.05 in the right tail. • The value of the test statistic is given by t= Step 3: Enter the critical value(s). (Round to 3 decimal places.) -2 Continue -1 000 000 F4 0.4 F5 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 850 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 850 Gy. 2 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 namma radiation needed to sterilize a colony of tardiorador is not F6 X MacBook Air (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. 3 2 3 F7 μ 20 X X Submit Assignment 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility X OSO DII F8 Español 8 2 2
Transcribed Image Text:20 F3 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 850 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy.) A random sample of 28 tardigrade colonies found that the amount of gamma radiation needed to sterilize a colony had a sample mean of 836 Gy, with a sample standard deviation of 60 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 that µ, the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 850 Gy. (a) State the null hypothesis Ho and the alternative hypothesis H, that you would use for the test. Ho: D 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-talled (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. ¹0.05 is the value that cuts off an area of 0.05 in the right tail. • The value of the test statistic is given by t= Step 3: Enter the critical value(s). (Round to 3 decimal places.) -2 Continue -1 000 000 F4 0.4 F5 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 850 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 850 Gy. 2 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 namma radiation needed to sterilize a colony of tardiorador is not F6 X MacBook Air (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. 3 2 3 F7 μ 20 X X Submit Assignment 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility X OSO DII F8 Español 8 2 2
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