The net weight in pounds of a packaged chemical herbicide is uniform for 49.75 < x < 50.75 pounds. Determine the following: a. Mean and variance of the weight packages b. Р(X < 50.2)
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- Five pipes labelled, "6 metres in length", were delivered to a building site. The contractor measured each pipe to check its length (in metres) and recorded the following; 1. 5.96, 5.95, 6.02, 5.95, 5.99. (a) (i) Find the mean of the contractor's measurements. (ii) Calculate the percentage error between the mean and the stated, approximate length of 6 metres. (b) Calculate v3.87 -8.733, giving your answer (i) correct to the nearest integer, (11) in the form a×10, where 1sa<10, ke Z.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 Flase
- Find the following percentage rank using the pictureThe accompanying summary data on total cholesterol level (mmol/l) was obtained from a sample of Asian postmenopausal women who were vegans and another sample of such women who were omnivores. Diet Sample Size Sample Mean Sample SD Vegan 88 5.10 1.09 Omnivore 97 5.55 1.10 Calculate a 99% CI for the difference between population mean total cholesterol level for vegans and population mean total cholesterol level for omnivores. (Use uvegan- Homniyore Round your answers to three decimal places.) (mmol/I) Enter a number. Interpret the interval. O We are 99% confident that the true average cholesterol level for vegans is greater than that of omnivores by an amount within the confidence interval. O We cannot draw a conclusion from the given information. O We are 99% confident that the true average cholesterol level for vegans is greater than that of omnivores by an amount outside the confidence interval. We are 99% confident that the true average cholesterol level for vegans is less than that…The table available below shows the costs per mile (in cents) for a sample of automobiles. At a = 0.01, can you conclude that at least one mean cost per mile is different from the others? Click on the icon to view the data table. Let Hss, µms, HLs, Hsuy and μMy represent the mean costs per mile for small sedans, medium sedans, large sedans, SUV 4WDs, and minivans respectively. What are the hypotheses for this test? A. Ho: Hss HMS HLS="SUV HMV H₂: Not all the means are equal. = B. Ho: Hss HMS = μLS="SUV = HMV Ha: Hss #HMS # μLS *μSUV HMV OC. Ho: Not all the means are equal. Ha: Hss HMS HLS HSUV HMV Ho: Hss #HMS HLS ‡μSUV * µMV Ha: Hss HMS = μLS="SUV=MV What is the test statistic? FSTAT (Round to two decimal places as needed.) =
- Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 50 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.20 ml/kg for the distribution of blood plasma.A bottler of drinking water fills plastic bottles with a mean volume of 994 millimeters (mL) with a standard deviation of 5 mL. The fill volumes are normally distributed. What proportion of bottles have volumes less than 995 mL?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?
- Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 42 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.50 ml/kg for the distribution of blood plasma. When finding an 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) zc = (a)Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limit ___ upper limit ____ margin of error ____ (b)What conditions are necessary for your calculations? (Select all that apply.) A-? is known B-? is unknown C-the distribution of volumes is normal D-the…Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 45 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.80 ml/kg for the distribution of blood plasma. When finding an 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) zc = (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limitupper limitmargin of error (b) What conditions are necessary for your calculations? (Select all that apply.) n is large? is known? is unknownthe distribution of volumes is normalthe distribution of…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?