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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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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