4-29. Suppose that we are testing Ho: μ = μo versus Mo H₁: μμo. Calculate the P-value for the following observed # values of the test statistic: (a) zo = 2.45 Zo (d) zo = 1.95 (b) zo = -1.53 (e) Zo= -0.25 (c) zo = 2.15 Zo
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- Unfortunately, arsenic occurs naturally in some ground water.t 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 = 6.7 ppb arsenic, with s = 3.0 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. n USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H = 8 ppb; H,: u > 8 ppb O Ho: H = 8 ppb; H,: H + 8 ppb O Ho: H 8 ppb; H,: u = 8 ppb O Ho: H = 8 ppb; H,: µ 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.005 < P-value < 0.010 P-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value. MacBook Pro escUnfortunately, arsenic occurs naturally in some ground water.t 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 = 7.1 ppb arsenic, with s = 2.2 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Họ: u = 8 ppb; H,: u > 8 ppb O Ho: H 8 ppb; H,: u = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and a is unknown. O 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. The Student's t, since the sample size is large and a is unknown. What is the…Suppose that we are testing H0: μ = μ0 versus H1: μ ≠ μ0. Calculate the P-value for the following observed values of the test statistic: (a) Z0 = 1.95 (b) Z0 = -0.10
- Unfortunately, arsenic occurs naturally in some ground water.t 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 = 7.1 ppb arsenic, with s = 2.2 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H= 8 ppb; H,: H > 8 ppb O Ho: 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 standard normal, since the sample size is large and a is unknown. O 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 Student's t, since the sample size is large and a is unknown. What is…One company's bottles of grapefruit juice are filled by a machine that is set to dispense an average of 180 milliliters (ml) of liquid. A quality-control inspector must check that the machine is working properly. The inspector takes a random sample of 40 bottles and measures the volume of liquid in each bottle. We want to test Hg: μ = 180 Ha: 180 where μ = the true mean volume of liquid dispensed by the machine. The mean amount of liquid in the bottles is 179.6 ml and the standard deviation is 1.3 ml. A significance test yields a P-value of 0.0589. Interpret the P-value. Assuming the true mean volume of liquid dispensed by the machine is 180 ml, there is a 0.0589 probability of getting a sample mean of 179.6 just by chance in a random sample of 40 bottles filled by the machine. Assuming the true mean volume of liquid dispensed by the machine is 180 ml, there is a 0.0589 probability of getting a sample mean at least as far from 180 as 179.6 (in either direction) just by chance in a…Suppose that we are testing H0: μ = μ0 versus H1: μ ≠ μ0. Calculate the P-value for the following observed values of the test statistic. (a) Z0 = 2.25 (b) Z0 = 1.55 (c) Z0 = 2.10
- In a test of H0: µ = 50 against Ha: µ > 50, the sample data yielded the teststatistic z = 2.24. Find and interpret the p-value for the test.(using Table II)A random sample of size 144 from a normal population has a mean of x-bar = 60.8 and s = 3.6. The p-value for this test is approximately Ho: H= 60 %3D Họ: H+60 .0076 .9924 .9962 .0038For Z-test used to analyze data on tablet weight in a batch with Ho: u = 300 mg and at a = 0.05. If a sample was taken from the batch and Z-score of the mean tablet weight of the sample was correctly calculated as 1.9. P-value is which suggest that, O 0.047, The mean tablet of the batch is not significantly different from 300 O 0.0574, The mean tablet of the batch is significantly different from 300 O 0.0287, The mean tablet of the batch is not significantly different from 300 O 0.047, The mean tablet of the batch is significantly different from 300 O0.9713, The mean tablet of the batch is significantly different from 300 0.9713, The mean tablet of the batch is not significantly different from 300 0.0287, The mean tablet of the batch is significantly different from 300 0.0574, The mean tablet of the batch is not significantly different from 300 Next pc
- The sample data for a t-test of Ho:u=15 and H2: µ >15 are sample mean=16.2, s=3.1 and n=18. Use a = 0.05 to draw your conclusion. (Ott, 1993)The price X (dollars per pound) and consumption y (in pounds per capita) of beef were samples for 10 randomly selected years. The following data should be used to answer the question that follows. n = 10 Ex = 36.19 Ex² = 134.17 2.9 < x < 6.2 Ey = 774.7 Iy? = 60739.23 Exy = 2832.21 %3D Using this data, a student calculated SSy = 28.43 SSx = 3.2 SSyy = 717. Which one of %3D the following represents the equation of the regression line between price and consumption O y-hat = 25.22x -13.8 O y-hat = 25.22x +13.8 O y-hat 8.88x + 453.37 O y-hat = 8.88x +45.34Estimate the P-value for a test of H0: μ = 500 versus H1: μ < 500 with test value t = -1.738 and a sample size of 18.