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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 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.)

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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Student's t Distribution 0.4 Step 1: Enter the number of degrees of freedom. 0.3+ Step 2: Select one-tailed or two-tailed. O One-tailed O Two-tailed 0.2+ Step 3: Enter the critical value(s). (Round to 3 decimal places.) 0.1+ Step 4: Enter the test statistic. (Round to 3 decimal places.) 3.
Transcribed Image Text:Student's t Distribution 0.4 Step 1: Enter the number of degrees of freedom. 0.3+ Step 2: Select one-tailed or two-tailed. O One-tailed O Two-tailed 0.2+ Step 3: Enter the critical value(s). (Round to 3 decimal places.) 0.1+ Step 4: Enter the test statistic. (Round to 3 decimal places.) 3.
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 1150 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy.) A random sample of 25 tardigrade colonies found that the amount of gamma radiation needed to sterilize a colony had a sample mean of 1133 Gy, with a sample standard deviation of 62 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 u, the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 1150 Gy. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H: 1 H: ] O=D0 ローロ (b) Perform a hypothesis test. The test statistic has a t distribution (so the test is a "t test"). Here is some other information to help you with your test. In o25 is the value that cuts off an area of 0.025 in the right tail. Tho - of the t -in ai,On bu ±
Transcribed Image Text: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 1150 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy.) A random sample of 25 tardigrade colonies found that the amount of gamma radiation needed to sterilize a colony had a sample mean of 1133 Gy, with a sample standard deviation of 62 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 u, the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 1150 Gy. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H: 1 H: ] O=D0 ローロ (b) Perform a hypothesis test. The test statistic has a t distribution (so the test is a "t test"). Here is some other information to help you with your test. In o25 is the value that cuts off an area of 0.025 in the right tail. Tho - of the t -in ai,On bu ±
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