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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 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 25 randomly selected tardigrade colonies, finding that the amount of gamma radiation withstand more than 10 Gy.) A study was conducted on a sample needed to sterilize a colony had a sample mean of 1165 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 the claim 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.

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 25 randomly selected tardigrade colonies, finding that the amount of gamma radiation withstand more than 10 Gy.) A study was conducted on a sample needed to sterilize a colony had a sample mean of 1165 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 the claim 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.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...
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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 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 study was conducted on a sample of 25 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 1165 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 the claim that u, the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 1150 Gy. 00 (a) State the null hypothesis H and the alternative hypothesis H, that you would use for the test. Ho: 0 H,: 0 O<O OSO O=0 ロロ (b) Perform at test and find the p-value. Here is some information to help you with your t test. • The value of the test statistic is given by t= Save For Later Submit Assignment Check Privacy I Accessibility 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use
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 study was conducted on a sample of 25 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 1165 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 the claim that u, the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 1150 Gy. 00 (a) State the null hypothesis H and the alternative hypothesis H, that you would use for the test. Ho: 0 H,: 0 O<O OSO O=0 ロロ (b) Perform at test and find the p-value. Here is some information to help you with your t test. • The value of the test statistic is given by t= Save For Later Submit Assignment Check Privacy I Accessibility 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use
Student's t Distribution 0.4 Step 1: Enter the number of degrees of freedom. Step 2: Select one-tailed or two-tailed. 0.3- O One-tailed O Two-tailed Step 3: Enter the test statistic. (Round to 3 decimal places.) 0.2 Step 4: Shade the area represented by the p-value. 0.1 Step 5: Enter the p-value. (Round to 3 decimal places.) 2. Save For Later Submit Assignment Check Privacy Accessibility 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use 回 8 日 国 口
Transcribed Image Text:Student's t Distribution 0.4 Step 1: Enter the number of degrees of freedom. Step 2: Select one-tailed or two-tailed. 0.3- O One-tailed O Two-tailed Step 3: Enter the test statistic. (Round to 3 decimal places.) 0.2 Step 4: Shade the area represented by the p-value. 0.1 Step 5: Enter the p-value. (Round to 3 decimal places.) 2. Save For Later Submit Assignment Check Privacy Accessibility 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use 回 8 日 国 口
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