The following observations are on time (h) for a AA 1.5- volt alkaline battery to reach a 0.8 voltage (“Comparingthe Lifetimes of Two Brands of Batteries,” J. of Statistical Educ., 2013, online):
Energizer: | 8.65 | 8.74 | 8.91 | 8.72 | 8.85 |
Ultracell: | 8.76 | 8.81 | 8.81 | 8.70 | 8.73 |
Energizer: | 8.52 | 8.62 | 8.68 | 8.86 | |
Ultracell: | 8.76 | 8.68 | 8.64 | 8.79 |
Normal probability plots support the assumption that the population distributions are normal. Does the data suggest that the variance of the Energizer population distribution differs from that of the Ultracell population distribution? Test the relevant hypotheses using a significance level of .05. [Note: The two-sample t test for equality of population means gives a P-value of .763.] The Energizer batteries are much more expensive than the Ultracell batteries. Would you pay the extra money?
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Chapter 9 Solutions
Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
- What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?arrow_forwardUnfortunately, 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…arrow_forwardUnfortunately, 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…arrow_forward
- In a certain article, laser therapy was discussed as a useful alternative to drugs in pain management of chronically ill patients. To measure pain threshold, a machine was used that delivered low-voltage direct current to different parts of the body (wrist, neck, and back). The machine measured current in milliamperes (mA). The pretreatment experimental group in the study had an average threshold of pain (pain was first detectable) at ? = 3.20 mA with standard deviation ? = 1.27 mA. Assume that the distribution of threshold pain, measured in milliamperes, is symmetric and more or less mound-shaped. (Round your answers to two decimal places.) (a) Use the empirical rule to estimate a range of milliamperes centered about the mean in which about 68% of the experimental group will have a threshold of painfrom mA to mA(b) Use the empirical rule to estimate a range of milliamperes centered about the mean in which about 95% of the experimental group will have a threshold of painfrom mA to…arrow_forwardIn a certain article, laser therapy was discussed as a useful alternative to drugs in pain management of chronically ill patients. To measure pain threshold, a machine was used that delivered low-voltage direct current to different parts of the body (wrist, neck, and back). The machine measured current in milliamperes (mA). The pretreatment experimental group in the study had an average threshold of pain (pain was first detectable) at ? = 3.22 mA with standard deviation ? = 1.25 mA. Assume that the distribution of threshold pain, measured in milliamperes, is symmetric and more or less mound-shaped. (Round your answers to two decimal places.) (a) Use the empirical rule to estimate a range of milliamperes centered about the mean in which about 68% of the experimental group will have a threshold of painfrom mA to mA(b) Use the empirical rule to estimate a range of milliamperes centered about the mean in which about 95% of the experimental group will have a threshold of painfrom mA to…arrow_forwardIn a certain article, laser therapy was discussed as a useful alternative to drugs in pain management of chronically ill patients. To measure pain threshold, a machine was used that delivered low-voltage direct current to different parts of the body (wrist, neck, and back). The machine measured current in milliamperes (mA). The pretreatment experimental group in the study had an average threshold of pain (pain was first detectable) at ? = 3.09 mA with standard deviation ? = 1.21 mA. Assume that the distribution of threshold pain, measured in milliamperes, is symmetric and more or less mound-shaped. (Round your answers to two decimal places.) (a) Use the empirical rule to estimate a range of milliamperes centered about the mean in which about 68% of the experimental group will have a threshold of painfrom mA to mA (b) Use the empirical rule to estimate a range of milliamperes centered about the mean in which about 95% of the experimental group will have a threshold of painfrom mA to…arrow_forward
- In a certain article, laser therapy was discussed as a useful alternative to drugs in pain management of chronically ill patients. To measure pain threshold, a machine was used that delivered low-voltage direct current to different parts of the body (wrist, neck, and back). The machine measured current in milliamperes (mA). The pretreatment experimental group in the study had an average threshold of pain (pain was first detectable) at ? = 3.11 mA with standard deviation ? = 1.03 mA. Assume that the distribution of threshold pain, measured in milliamperes, is symmetric and more or less mound-shaped. (Round your answers to two decimal places.) Refer to screenshot (a) Use the empirical rule to estimate a range of milliamperes centered about the mean in which about 68% of the experimental group will have a threshold of pain (b) Use the empirical rule to estimate a range of milliamperes centered about the mean in which about 95% of the experimental group will have a threshold of painarrow_forwardYou are shown ZJKL below whose measure is 90°. Draw an angle bisector of ZJKL by clicking a dragging a ray out from the vertex at K. Click and drag to draw a ray from the yellow dot. To redraw, click and drag from the yellow dot again. mZJKL = 90° mZJKM = 45° m/LKM = 45° L Carrow_forwardSTAT 3128 Homeowrk Section Question 1. Let u denote the true average radioactivity level (picocuries per liter). The value 5 pci/L is considered the dividing line between safe and unsafe water. Would you recommend testing Ho: μ = 5 versus Ha: > 5 or Ho μ = 5 versus Ha: μ 5. A type II error in this case involves deciding the water is safe when it isn't. This is a very serious error, so a test which ensures that this error is highly unlikely is desirable. We prefer that the most serious error be a type II error because it can be explicitly controlled. One should test Ho: μ = 5 versus Ha> 5. A type I error in this case involves deciding the water is safe when it isn't. This is a very serious error, so a test which ensures that this error is highly unlikely is desirable. We prefer that the most serious error be a type I error because it can be explicitly controlled.arrow_forward
- Over the past 10 years, contestants at the county fair hotdog eating contest averaged 125 hotdogs within the 1 minute time frame. Due to Covid19 restrictions, there were only 15 contestants who ate an average of 122 hotdogs. s=6.5 We're interested in finding out if there is significant change in hotdog eating. Use the hypothesis that H0: µ=125, Ha: #125. What is the SE? 10.9 1.7 6.5 8.3arrow_forwardIn a certain article, laser therapy was discussed as a useful alternative to drugs in pain management of chronically ill patients. To measure pain threshold, a machine was used that delivered low-voltage direct current to different parts of the body (wrist, neck, and back). The machine measured current in milliamperes (mA). The pretreatment experimental group in the study had an average threshold of pain (pain was first detectable) at μ = 3.01 mA with standard deviation = 1.03 mA. Assume that the distribution of threshold pain, measured in milliamperes, is symmetric and more or less mound-shaped. (Round your answers to two decimal places.) (a) Use the empirical rule to estimate a range of milliamperes centered about the mean in which about 68% of the experimental group will have a threshold of pain from mA to mA (b) Use the empirical rule to estimate a range of milliamperes centered about the mean in which about 95% of the experimental group will have a threshold of pain from mA to mAarrow_forwardThe accompanying summary quantities for x = Particulate pollution (pg/m³) and y = Luminance (0.01 cd/m2) were calculated from a representative sample of data that appeared in a article. n = 15 Ex = 870 Ey = 349 Ex? = 56,300 Ey? = 8,953 Exy = 22,215 (a) Test to see whether there is a positive correlation between particulate pollution and luminance in the population from which the data were selected. (Use a = 0.05.) Calculate the test statistic. (Round your answer to two decimal places.) t = What is the P-value? (Use technology to calculate the P-value. Round your answer to three decimal places.) P-value = What can you conclude? O Fail to reject H. We have convincing evidence of a positive correlation between particulate pollution and luminance for the population from which the sample was selected. Reject Ho. We have convincing evidence of a positive correlation between particulate pollution and luminance for the population from which the sample was selected. O Reject H.. We do not have…arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill