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Lake Martin and Lake Fields are two large local lakes inhabited by white sturgeon. A while back there was an environmental disaster at Lake Martin. Kala is an ecologist who wants to see if the mean weight (in kg) of adult white sturgeon now living in Lake Martin is less than the mean weight (in kg) of adult white sturgeon now living in Lake Fields. The ecologist catches a random sample of 11 adult white sturgeon at Lake Martin and a random sample of 12 adult white sturgeon at Lake Fields. (These samples are chosen independently.) Each fish has its weight (in kg) recorded. The white sturgeon caught at Lake Martin have a sample mean weight of 90.24 with a sample variance of 15.11. The white sturgeon caught at Lake Fields have a sample mean weight of 98.52 with a sample variance of 231.20. Assume that the two populations of weights are approximately normally distributed. Can the ecologist conclude, at the 0.01 level of significance, that the population mean of the weights of adult white sturgeon now living in Lake Martin is less than the population mean of the weights of adult white sturgeon now living in Lake Fields? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternate hypothesis H₁. H:0 H₁:0 (b) Determine the type of test statistic to use. (Choose one) V (c) Find the value of the test statistic. (Round to three or more decimal places.) Explanation Check μ XI 9 0=0 ☐☐ a S OSO 0<0 Р O Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Acces

Lake Martin and Lake Fields are two large local lakes inhabited by white sturgeon. A while back there was an environmental disaster at Lake Martin. Kala is an ecologist who wants to see if the mean weight (in kg) of adult white sturgeon now living in Lake Martin is less than the mean weight (in kg) of adult white sturgeon now living in Lake Fields. The ecologist catches a random sample of 11 adult white sturgeon at Lake Martin and a random sample of 12 adult white sturgeon at Lake Fields. (These samples are chosen independently.) Each fish has its weight (in kg) recorded. The white sturgeon caught at Lake Martin have a sample mean weight of 90.24 with a sample variance of 15.11. The white sturgeon caught at Lake Fields have a sample mean weight of 98.52 with a sample variance of 231.20. Assume that the two populations of weights are approximately normally distributed. Can the ecologist conclude, at the 0.01 level of significance, that the population mean of the weights of adult white sturgeon now living in Lake Martin is less than the population mean of the weights of adult white sturgeon now living in Lake Fields? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternate hypothesis H₁. H:0 H₁:0 (b) Determine the type of test statistic to use. (Choose one) V (c) Find the value of the test statistic. (Round to three or more decimal places.) Explanation Check μ XI 9 0=0 ☐☐ a S OSO 0<0 Р O Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Acces

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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Lake Martin and Lake Fields are two large local lakes inhabited by white sturgeon. A while back there was an environmental disaster at Lake Martin. Kala is an ecologist who wants to see if the mean weight (in kg) of adult white sturgeon now living in Lake Martin is less than the mean weight (in kg) of adult white sturgeon now living in Lake Fields. The ecologist catches a random sample of 11 adult white sturgeon at Lake Martin and a random sample of 12 adult white sturgeon at Lake Fields. (These samples are chosen independently.) Each fish has its weight (in kg) recorded. The white sturgeon caught at Lake Martin have a sample mean weight of 90.24 with a sample variance of 15.11. The white sturgeon caught at Lake Fields have a sample mean weight of 98.52 with a sample variance of 231.20. Assume that the two populations of weights are approximately normally distributed. Can the ecologist conclude, at the 0.01 level of significance, that the population mean of the weights of adult white sturgeon now living in Lake Martin is less than the population mean of the weights of adult white sturgeon now living in Lake Fields? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternate hypothesis H₁. H₁ : 0 Ho H₁:0 1 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) Explanation Check μ σ X S 0=0 OSO ☐☐ 0<0 р 믐 >0 Est 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Acces
Transcribed Image Text:Lake Martin and Lake Fields are two large local lakes inhabited by white sturgeon. A while back there was an environmental disaster at Lake Martin. Kala is an ecologist who wants to see if the mean weight (in kg) of adult white sturgeon now living in Lake Martin is less than the mean weight (in kg) of adult white sturgeon now living in Lake Fields. The ecologist catches a random sample of 11 adult white sturgeon at Lake Martin and a random sample of 12 adult white sturgeon at Lake Fields. (These samples are chosen independently.) Each fish has its weight (in kg) recorded. The white sturgeon caught at Lake Martin have a sample mean weight of 90.24 with a sample variance of 15.11. The white sturgeon caught at Lake Fields have a sample mean weight of 98.52 with a sample variance of 231.20. Assume that the two populations of weights are approximately normally distributed. Can the ecologist conclude, at the 0.01 level of significance, that the population mean of the weights of adult white sturgeon now living in Lake Martin is less than the population mean of the weights of adult white sturgeon now living in Lake Fields? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternate hypothesis H₁. H₁ : 0 Ho H₁:0 1 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) Explanation Check μ σ X S 0=0 OSO ☐☐ 0<0 р 믐 >0 Est 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Acces
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(d) Find the p-value. (Round to three or more decimal places.) (e) At the 0.01 level of significance, can the ecologist conclude that the mean weight of adult white sturgeon now living in Lake Martin is less than the mean weight of adult white sturgeon now living in Lake Fields? OYes O No Explanation Check X 2022 McGraw Hill LLC. All Rights Res
Transcribed Image Text:(d) Find the p-value. (Round to three or more decimal places.) (e) At the 0.01 level of significance, can the ecologist conclude that the mean weight of adult white sturgeon now living in Lake Martin is less than the mean weight of adult white sturgeon now living in Lake Fields? OYes O No Explanation Check X 2022 McGraw Hill LLC. All Rights Res
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