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
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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