Unfortunately, arsenic occurs naturally in some ground watert. A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.0 ppb arsenic, with s = 2.3 ppb. Does this information indicate that the mean level of arsenic in this well isless than 8 ppb? Use a = 0.01.(a) What is the level of significance?State the null and alternate hypotheses.О но: и 3 8 рb; н,: и +8 ppbO Ho: H > 8 ppb; H: µ = 8 ppbO Ho: H = 8 ppb; H: µ > 8 ppbO Ho: H = 8 ppb; H,: µ < 8 ppbO Ho: H < 8 ppb; H,: µ = 8 ppb(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.O The standard normal, since the sample size is large and o is unknown.O The Student's t, since the sample size is large and o is unknown.O The standard normal, since the sample size is large and o is known.O The Student's t, since the sample size is large and o is known.What is the value of the sample test statistic? (Round your answer to three decimal places.)(c) Find the P-value. (Round your answer to four decimal places.)Sketch the sampling distribution and show the area corresponding to the P-value.-4-24-4-24-2-22(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?O At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.O At the a = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.O At the a = 0.01 level, we fail to reject the nullypothesis and conclude the data are not statistically significant.(e) Interpret your conclusion in the context of the application.O There is sufficient evidence at the 0.01 level to conclude that the mean level of arsenic in the well is less than 8 ppb.O There is insufficient evidence at the 0.01 level to conclude that the mean level of arsenic in the well is less than 8 ppb.

a) Consider that μ is the population average of arsenic level.

nfortunately, arsenic occurs naturally in some ground watert. A mean arsenic level of -8.0 parts per bilion (pob) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of7.0 pob arsenic, with s-2.3 pob. Does this information indicate that the mean level of arsenic in this well ess than ppb Use 0.01. Ca) What s the level of significance State the nul and aternate hypotheses OM pob, pp OMi> ppb; pob OM popb; ppb OMi ppb; ppb OMo! pob pob () what sampling distribution wil you use? Explain the rationale for your choice of sampling distribution. O The standard nermal, since the sample sieis large and eis unknown O The Student's e since the sample size is large and e is unknown. O The standard normal, since the sample size is large and e is known. O The Student'st, since the sample size is large and e is known. What is the value of the sample test statistic (Round your answer to three decimal places.) (e) Find the Avalue. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the Pvalue (4) Based on your answers in parts (a) to (c), will you reject or fall to reject the nul hypothesis? Are the data statistically significant at level a O At the a0.01 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O AL the a0.01 level, we fal to reject the nul hypothesis and conclude the data are statistically significant O At the e0.01 level, we fal to reject the nu hypothesis and condude the data are not statisticaly significant. (e) Interpret your conclusion in the context of the application O There is sufficient evidence at the 0.01 level to conclude that the mean level of arsenic in the well is less than ppb. O There is insuficient evidence at the 0.01 level to conclude that the mean level of arsenic in the well is less than ppb.

nfortunately, arsenic occurs naturally in some ground watert. A mean arsenic level of -8.0 parts per bilion (pob) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of7.0 pob arsenic, with s-2.3 pob. Does this information indicate that the mean level of arsenic in this well ess than ppb Use 0.01. Ca) What s the level of significance State the nul and aternate hypotheses OM pob, pp OMi> ppb; pob OM popb; ppb OMi ppb; ppb OMo! pob pob () what sampling distribution wil you use? Explain the rationale for your choice of sampling distribution. O The standard nermal, since the sample sieis large and eis unknown O The Student's e since the sample size is large and e is unknown. O The standard normal, since the sample size is large and e is known. O The Student'st, since the sample size is large and e is known. What is the value of the sample test statistic (Round your answer to three decimal places.) (e) Find the Avalue. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the Pvalue (4) Based on your answers in parts (a) to (c), will you reject or fall to reject the nul hypothesis? Are the data statistically significant at level a O At the a0.01 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O AL the a0.01 level, we fal to reject the nul hypothesis and conclude the data are statistically significant O At the e0.01 level, we fal to reject the nu hypothesis and condude the data are not statisticaly significant. (e) Interpret your conclusion in the context of the application O There is sufficient evidence at the 0.01 level to conclude that the mean level of arsenic in the well is less than ppb. O There is insuficient evidence at the 0.01 level to conclude that the mean level of arsenic in the well is less than ppb.

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

See similar textbooks