1. A certain type of stainless-steel powder is supposed to have a mean particle diameter of µ = 15 μm. A random sample of 87 particles had a mean diameter of 15.2 μm with a standard deviation of 1.8 μm. A test is made of Ho: μ = 15 versus H₁: μ= 15 a) Find the P value. b) Do you believe it is plausible that the mean diameter is 15 μm, or are you convinced that it differs from 15 μm?
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- 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…The annual rainfall in a certain region is modeled using the normal distribution shown below. The mean of the distribution is 41.8 cm and the standard deviation is 5.3 cm. In the figure, V is a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choose one) 25 30 35 40| 45 50 55 60 ( cm)The annual rainfall in a certain region is modeled using the normal distribution shown below. The mean of the distribution is 41.8 cm and the standard deviation is 5.3 cm. In the figure, V is a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choose one) v 68% 95% 99.7% 25 30 35 40 45 50 55 60 ( cm) O
- The annual rainfall in a certain region is modeled using the normal distribution shown below. The mean of the distribution is 36.5 cm and the standard deviation is 5.2 cm. In the figure, V is a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choose one) ▼ 200 35 | 55 25 30 40 45 50 ( cm) Submit Continue |Privacy Center © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use DIl S0 FB F7 esc F3A national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity. Wind speeds must average more than 13 miles per hour (mph) for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. To determine whether the site meets the organization's requirements, consider the test, Ho: μ =13 Ha: μ >13 where μ is the true mean wind speed at the site and a=.05 Suppose the observed significance level ( p-value) of the test is calculated to be p=0.4413 Interpret this result. Since the p-value greatly exceeds α = .05, there is strong evidence to reject the null hypothesis. Since the p-value exceeds α = .05, there is insufficient evidence to reject the null hypothesis. We are 55.87% confident that μ = 13. The probability of rejecting the null hypothesis is 0.4413.The annual rainfall in a certain region is modeled using the normal distribution shown below. The mean of the distribution is 36.9 cm and the standard deviation is 4.8 cm. In the figure, V is a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choos 20 25 30 35 0 40 0 45 50 55 ( cm) Check Save For Later Submit 2021 McGraw Hill LLC. A Rights Reserved. Terms of Use | Privacy Center MacBook 80 F3 88 F4 44 esc F1 F10 FS FB F9 @ 23 $ & 3 5 6 7 8 9 Q E T. Y P A F G H K ock C V alt alt MOSISO command optic ontrol option command
- A student made three measurements of the mass of an object using a balance (± 0.01 g) and obtained the following values: Measure # 1 4.39 ± 0.01 g Measure # 2 4.42 ± 0.01 g Measure # 3 4.41 ± 0.01 g Find the mean value and its standard deviation and express the result to the correct significant figures. Choose one A) (4.41 ± 0.02) g B) (4.40 ± 0.01) g C) (4.40 ± 0.02) g D) (4.406 ± 0.0152) gUnfortunately, 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 escThe annual rainfall in a certain region is modeled using the normal distribution shown below. The mean of the distribution is 36.5 cm and the standard deviation is 5.2 cm. In the figure, V is a number along the axis and is under the highest part of the curve. And, Uand Ware numbers along the axis that are each the same distance away from Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W Percentage of total area shaded: (Choose one) 68% 95% 99.7% 20 25 30 U 35 I 40 45 50 55 ( cm)