The net weight in pounds of a packaged chemical herbicide is uniform for 49.75 < x < 50.25 pounds. Answer the following questions: a. Calculate the PDF, mean and variance of the weight of packages
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The net weight in pounds of a packaged chemical herbicide is uniform for 49.75 < x < 50.25 pounds.
Answer the following questions:
a. Calculate the
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- A concrete mix is designed to withstand 3000 pounds per square inch (psi) of pressure. The following data represent the strength of nine randomly selected casts (in psi). 3970, 4100, 3100, 3200, 2950, 3820, 4100, 4050, 3470 Compute the mean, median and mode strength of the concrete (in psi).Calculate combined mean from the following information Total no. of boys = 50 Mean weight of boys = 70 kg's Mean weight of girls = 55 kg's %3DIt is considered quite common to have feet of unequal length. In a sample of 10 healthy college students the right-foot and left-foot lengths are given (in mm). Length in mm mean ss Left foot (xx) 268 274 258 259 256 256 264 263 269 270 263.7 6.3779132776932 Right foot (yy) 247 281 249 259 231 273 267 264 285 265 262.1 16.3737594949969 d=x−yd=x−y 21 -7 9 0 25 -17 -3 -1 -16 5 1.6 13.9459273226591 (a) Find the test statistic. (b) Test the claim at the 0.05 significance level. Positive critical value: Negative critical value: Is there sufficient data to support the claim?YesNo
- An investigation of the properties of bricks used to line aluminum smelter pots was published in an article. Six different commercial bricks were evaluated. The life span of a smelter pot depends on the porosity of the brick lining (the less porosity, the longer the life span); consequently, the researchers measured the apparent porosity of each brick specimen, as well as the mean pore diameter of each brick. See the table. Apparent Porosity (y). Mean Pore Diameter (x). Click the icon to view the table. Data table Mean Pore Diameter Apparent Porosity (%) (micrometers) Brick Interpret the y-intercept of the line. Choose the correct answer below. 18.7 12.0 В 18.3 9.8 O A. The y-intercept is Bo- This value has no meaning because 0 is not in the observed range of the independent variable mean pore diameter. 16.3 7.3 6.9 5.4 O B. The y-intercept is Bo: For each unit increase in mean pore diameter, the mean porosity is estimated to increase by B0- 17.2 10.9 O C. There is not enough…The empirical rule estabilishes the percentages that are 1,2, and 3 deviations from the mean True FlaseWhat technique compares dispersion with the average of data? Select one: a. Standard deviation b. Process capability c. Variance d. Coefficient of variation
- researchers wanted to determine if carpeted rooms contained more baterica than uncapted rooms. to determine the amount of bacterica in a room reseachers pumpled the air from the room over a petri dish at the rate of 1 cubic foot per minute for eight carpeted rooms and eight uncaprted rooms. colonies of baterica were alled to form in 16 petri dishes. the results shown below are the baterica counta per cubic foot mean standard deviation sample size capeted room 11.2 2.6774 8 uncapted room 9.7875 3.21 8 you want ti test using sigificance level of 0.01 whether the mean bactiria count is high for carpeted rooms than for uncapteed rooms. test whether the mean bacteria count is high for carpeted rooms thatn uncarpeted rooms. show all steps using the p value method. what is Ho and H1? what is the test statsic and p value? what conclusion can be made?State the estimated coefficient for time and its interpretation. Also, state what the coefficient of determination is and its interpretation.Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Also listed are statistics from a study done of IQ scores for a random sample of subjects with high lead levels. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Click the icon to view the data table of IQ scores. a. Use a 0.05 significance level to test the claim that the mean IQ scores for subjects with medium lead levels is higher than the mean for subjects with high lead levels. What are the null and alternative hypotheses? Assume that population 1 consists of subjects with medium lead levels and population 2 consists of subjects with high lead levels. X A. Ho: H₁ H₂ H₁ H₁ H₂ c. Ho: M₁ = H₂ H₁: H₁ H₂ The test statistic is 0.56. (Round to two decimal places as needed.) The P-value is (Round to three decimal…
- The pathogen Phytophthora capsici causes bell peppers to wilt and die. Because belI peppers are an important commercial crop, this disease has undergone a great deal of agricultural research. It is thought that too much water aids the spread of the pathogen. Two fields are under study. The first step in the research project is to compare the mean soil water content for the two fields. Units are percentage of water by volume of soil. Field A samples, x: 10.0 10.7 15.5 10.4 9.9 10.0 16.6 15.1 15.2 13.8 14.1 11.4 11.5 11.0 Field B samples, x,: 8.3 8.5 8.4 7.3 8.0 7.1 13.9 12.2 13.4 11.3 12.6 12.6 12.7 12.4 11.3 12.5 A USE SALT Use a calculator to calculate x,, s,,x,, and s,. (Round your answers to four decimal places.) x, (a) Assuming the distribution of soil water content in each field is mound-shaped and symmetric, use a 5% level of significance to test the claim that field A has, on average, a higher soil water content than field B. (1) What is the level of significance?The following data represents the weight in kg of :a product 1 6 2 7 2 1 4 5 1 3 :Find :Mean 3.9 4.1 3.2 3.8 :Median 3.5 4.5 4.0 2.5 :ModeThe chlorine added to swimming pools to combat relatively short shelf before it loses its effectiveness. Records indicate that the mean shelf life of a 5 gallon jug of chlorine is 2,160 hours (90 days). As an experiment, Holdlonger was added to the chlorine to whether it would increase the shelf life of the chlorine. A sample of nine jugs of chlorine had these shelve lives (in hours): 2,159, 2, 170, 2,180, 2,179, 2,160, 2,167, 2,171, 2,181 and 2,185. At the .025 significance level, has Holdlonger increased the shelf life of the chlorine? S=9.3823, sample mean=2172.44 STATE THE NULL AND ALTERNATE HYPOTHESIS. Determine the critical value for the decision rule.