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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 41 tests gave a sample mean of x- 6.9 ppb arsenic, with s- 2.7 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a- 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Hạ: H = 8 ppb; H;: H8 ppb O Hạ: H > 8 ppb; H,: - 8 ppb O Hạ: H=8 ppb; H;: µ > 8 ppb O Hạ: H <8 ppb; H;: H = 8 ppb O H: H = 8 ppb; H : H< 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since the sample size is large and e is unknown. The Student's t, since the sample size is large and e is known. O The standard normal, since the sample size is large and e is known. O The standard normal, since the sample size is large and e is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Estimate the P-value. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025

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 41 tests gave a sample mean of x- 6.9 ppb arsenic, with s- 2.7 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a- 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Hạ: H = 8 ppb; H;: H8 ppb O Hạ: H > 8 ppb; H,: - 8 ppb O Hạ: H=8 ppb; H;: µ > 8 ppb O Hạ: H <8 ppb; H;: H = 8 ppb O H: H = 8 ppb; H : H< 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since the sample size is large and e is unknown. The Student's t, since the sample size is large and e is known. O The standard normal, since the sample size is large and e is known. O The standard normal, since the sample size is large and e is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Estimate the P-value. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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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 41 tests gave a sample mean of x = 6.9 ppb arsenic, with s = 2.7 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: u = 8 ppb; H1: H*8 ppb O Ho: H> 8 ppb; H: - 8 ppb O Ho: u = 8 ppb; H: H > 8 ppb O Ho: H < 8 ppb; H: H = 8 ppb O Ho: H= 8 ppb; H1: <8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since the sample size is large and a is unknown. The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Estimate the P-value. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 O P-value < 0.005
Transcribed Image Text: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 41 tests gave a sample mean of x = 6.9 ppb arsenic, with s = 2.7 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: u = 8 ppb; H1: H*8 ppb O Ho: H> 8 ppb; H: - 8 ppb O Ho: u = 8 ppb; H: H > 8 ppb O Ho: H < 8 ppb; H: H = 8 ppb O Ho: H= 8 ppb; H1: <8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since the sample size is large and a is unknown. The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Estimate the P-value. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 O P-value < 0.005
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