Assignment 9 (1)

A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1,300 KN/m?. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed vrith o = 63. Let u denote the true average compressive strength.

A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1,300 KN/m². The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with = 67. Let u denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? ⒸHO: μ> 1,300 Ha: M= 1,300 O Ho: M1,300 Ha: M= 1,300 Ho: M1,300 H₂M 1,300 O Ho: M1,300 Hai 11,300 OHM 1,300 HM 1,300 (b) Let X denote the sample average compressive strength for n = 15 randomly selected specimens. Consider the test procedure with test statistic X itself (not standardized). What is the probability distribution of the test statistic when H is true? O The test statistic has a gamma distribution. O The test statistic has a normal distribution. O The test statistic has an exponential distribution. O The test…

The compressive strength of concrete is normally distributed with u = 2507 psi and o = 51 psi. A random sample of n = 4 specimens is collected. What is the standard error of the sample mean? Round your final answer to three decimal places (e.g. 12.345). The standard error of the sample mean is psi.

A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1,300 KN/m. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with o= 65. Let u denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? H:H= 1,300 H:H= 1,300 Ho: H > 1,300 H:H= 1,300 O Hg: H = 1,300 H: H > 1,300 O Hg: H< 1,300 H H = 1,300 O Ho: H = 1,300 H: H < 1,300 (b) Let X denote the sample average compressive strength for n = 11 randomly selected specimens. Consider the test procedure with test statistic X itself (not standardized). What is the probability distribution of the test statistic when H, is true? O The test statistic has a normal distribution. O The test statistic has a binomial distribution. O The test statistic has a gamma distribution.…

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 thickness of a flange on an aircraft component is uniformly distributed between 0.2050 and 0.2150 micrometers. Determine the following: Proportion of flanges that exceeds 0.2125 micrometers in flange thickness Mean and variance of flange thickness O a. P(X 0.2125) = 0.25, E(X) = 0.2100, V(X) = 8.33 x 106 Oc NONE Od. P(X > 0.2125) = 0.75, E(X) = 0.2100, V(X) = 8.33 x 10-6

A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1,300 KN/m2. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with o = 69. Let u denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? O Ho: H > 1,300 H: u = 1,300 Ο H,: μ= 1,300 H: u 1,300 (b) Let X denote the sample average compressive strength for n = 15 randomly selected specimens. Consider the test procedure with test statistic X itself (not standardized). What is the probability distribution of the test statistic when Ho is true? O The test statistic has a binomial distribution. O The test statistic has a gamma distribution. The test statistic has a normal distribution. O The test statistic has an exponential distribution. If X = 1,340, find the…

Please give final answers and rounded as asked for in attachment

15. Find the area under the standard normal curve between z= 0 and z = -1.55 A. 0.4394 B. 0.4332 C. -0.4332 D. 0.3531 16. Suppose that the vehicle speeds at an interstate location have a normal distribution with a mean equal to 70 mph and standard deviation equal to 8 mph. What is the z- score for a speed of 64 mph? A. -0.75 В. 0.75 С. -6 D. 6 17. Terence scores in Mathematics this semester was rather inconsistent. His scores are as follows: 55,100,95,85,75,100. How many scores are within one standard deviation of the mean? А. 5 В. 95 C. 80 D. 100 18. The time it takes for Grade 11 students in a certain school to complete a physical fitness test is normally distributed with a mean of 15 minutes and a standard deviation of 4 minutes. If the students who get the fastest 5% completion times will be exempted from the additional gym work out sessions, what is the slowest time for a student to qualify for the exemption A. 8.40 minutes B. 8.42 minutes C. 8.44 minutes D. 8.46 minutes

The bottom of a cylindrical container has an area of 10 cm2. The container is filled to a height whose mean is 6.00 cm, and whose standard deviation is 0.300 cm. Let V denote the volume of fluid in the container.   1) Find μV . 2) Find σV .

A pharmaceutical manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The force in kilograms (kg) applied to the tablet varies a bit and follows the Normal distribution with mean 11.5 kg and standarddeviation 0.2 kg. The process specifications call for applying a force between 11.2 and 12.2 kg. i. What percent of tablets are subject to a force that meets the specifications?ii. The manufacturer adjusts the process so that the mean force is at the center of the specifications, μ = 11.7 kg. The standard deviation remains 0.2 kg. What percent now meets the specifications? iii. Calculate the 25th percentile (P25) and the 75th percentile (P75) of the distribution.

A student was performed on a type of bearing to find the relationship of amount of wear y to x₁ = oil viscosity and x2 = load. The accompanying data were obtained. Complete parts (a) and (b) below. Click here to view the bearing data. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. (a) Estimate 2 using multiple regression of y on x and x2. (Round to one decimal place as needed.) Bearing Data y x1 X2 194 1.7 844 173 22.2 1052 114 32.9 1362 230 15.7 809 95 42.9 1205 128 40.3 1106 - X

Please answer 1,2 and 3 subunits thank you!

Suppose the lengths of human pregnancies are normally distributed with u = 266 days and o = 16 days. Complete parts (a) and (b) below. (a) The figure to the right represents the normal curve with u = 266 days and o = 16 days. The area to the right of X = 295 is 0.0350. Provide two interpretations of this area. Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) O A. The proportion of human pregnancies that last less than days is O B. The proportion of human pregnancies that last more than 266 295 days is

First, look up the equation for the normal curve. Now, using this equation, calculate the area under the curve for a z score between 0 and 1.

Suppose the lengths of human pregnancies are normally distributed with u = 266 days and o = 16 days. Complete parts (a) and (b) below. (a) The figure to the right represents the normal curve with µ = 266 days and o = 16 days. The area to the left of X = 235 is 0.0263. Provide two interpretations of this area. Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) O A. The proportion of human pregnancies that last more than days is O B. The proportion of human pregnancies that last less than days is 235 Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) O A. The probability that a randomly selected human pregnancy lasts less than days is O B. The probability that a randomly selected human pregnancy lasts more than days is (b) The figure…

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Suppose the lengths of human pregnancies are normally distributed with u = 266 days and o = 16 days. Complete parts (a) and (b) below. (b) The figure to the right represents the normal curve with u = 266 days and o = 16 days. The area between x = 285 and x = 300 is 0.1007. Provide two interpretations of this area, Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Use ascending order.) O A. The proportion of human pregnancies that last less than or more than days is O B. The proportion of human pregnancies that last between 266 285 300 and days is

Deep mixing is a ground improvement method developed for soft soils like clay, silt, and peat. Civil engineers investigated the properties of soil improved by deep mixing with lime-cement columns. The mixed soil was tested by advancing a cylindrical rod with a cone tip down into the soil. During penetration, the cone penetrometer measures the cone tip resistance (megapascals, MPa). The researchers established that tip resistance for the deep mixed soil followed a normal distribution with u = 1.7 MPa and a = 1.1 MPa. Complete parts a through c. a. Find the probability that the tip resistance will fall between 1.3 and 4.0 MPa. P(1.3sxs4.0) = 0.6236 (Round to four decimal places as needed.) b. Find the probability that the tip resistance will exceed 1.0 MPa. P(x> 1) =D (Round to four decimal places as needed.)

Suppose the lengths of human pregnancies are normally distributed with u = 266 days and o = 16 days.

Suppose the lengths of human pregnancies are normally distributed with µ= 266 days ando = 16 days. Complete parts (a) and (b) below. (a) The figure to the right represents the normal curve with u = 266 days and o = 16 days. The area to the left of X= 250 is 0.1587. Provide two interpretations of this area. Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) O A. The proportion of human pregnancies that last less than days is O B. The proportion of human pregnancies that last more than days is 250 266 Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) O A. The probability that a randomly selected human pregnancy lasts more than days is O B. The probability that a randomly selected human pregnancy lasts less than days is (b) The…

A certain insect species has a mean length of 1.2 centimeters and a standard deviation of 0.1 centimeters. Assume that the lengths are normally distributed. 1. If there are estimated to be 10,000 of these insects in a terrarium, how many of them would be expected to be less than 0.8 cm in length? 2. Does this model assumption make sense? Why not a uniform density model? Explain

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the proportion of flanges that exceeds 0.98 millimeters. (b) What thickness is exceeded by 90% of the flanges? millimeters (c) Determine the mean and variance of flange thickness. Mean = i millimeters Variance = i millimeters² (Round your answer to 6 decimal places.)