Suppose that designing phone is a random experiment. A phone model can be developed from two different RAM sizes (6GB or 8GB), three different storage sizes (64GB, 128GB, 256GB), three rear cam megapixels (20MP, 32MP, 40MP). Assume each of the levels in the design factors has equal probability of being selected. a. b. Calculate the probability that the RAM size is 6GB and the rear cam is 32MP. Calculate the probability that the storage size is 64GB or the RAM size is 8GB.
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- Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a nutritionist analyzed the percentage of saturated fat for a sample of 6 brands of stick margarine (solid fat) and for a sample of 6 brands of liquid margarine and obtained the following results: Stick:[25.5,26.7,26.5,26.6,26.3,26.4] Liquid:[16.5,17.1,17.5,17.3,17.2,16.7] We want to determine if there a significant difference in the average amount of saturated fat in solid and liquid fats. What is the test statistic? a) z = 39.604 b) t = 25.263 c) t = 39.604 d) z = 39.104 e) t = 39.104Assume the chances of failure of each component is given in Figure. What is the probability that the system would not work? .A national standard requires that public bridges over 20 feet in length must be inspected and rated every 2 years. The rating scale ranges from 0 (poorest rating) to 9 (highest rating). A group of engineers used a probabilistic model to forecast the inspection ratings of all major bridges in a city. For the year 2020, the engineers forecast that 6% of all major bridges in that city will have ratings of 4 or below. Complete parts a and b. a. Use the forecast to find the probability that in a random sample of 7 major bridges in the city, at least 3 will have an inspection rating of 4 or below in 2020. P(x≥3)=
- A local nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost-estimating purposes, managers use 2.2 hours of labor time for planting of a medium-sized tree. A random sample of 36 tree plantings is selected and the planting times are recorded. The average planting time for the sample of 36 planting is 2.7 hours with a standard deviation of .9 hours. The researcher wants to test if the average planting time is significantly greater than 2.2 hours based on the data that was collected. Họ: H= 2.2 H1: u> 2.2 What is the value of the Test Statistic for this hypothesis test? Round Z to the 100ths place.A state fisheries commission wants to estimate the number of bass caught in a given lake during a season in order to restock the lake with the appropriate number of young fish. The commission could get a fairly accurate assessment of the seasonal catch by extensive “netting sweeps" of the lake before and after a season, but this technique is much too expensive to be done routinely. Therefore, the commission samples a number of lakes and record the seasonal catch (thousands of bass per square mile of lake area) and size of lake (square miles). A simple linear regression was performed and the following R output obtained. Estimate Std. Error t value Pr(>|t|) (Intercept) 2.5463 0.4427 5.7513 0.0000 size 0.0667 0.3672 0.1818 0.8578 If a scatterplot showed a non-linear relationship between the response and explanatory variables, what should be done? O Nothing. Continue the analysis as is. Stop the analysis. Perform a natural log transformation on the response variable first. O Perform a…A nutritionist working for the United States Department of Agriculture (USDA) randomly selected three cartons of eggs from all of the available cartons of standard large eggs at a neighborhood grocery store. Each egg in the randomly selected cartons had their nutritional content analyzed.The data provided here are the amounts of milligrams of cholesterol in each of the sampled eggs. 186, 188, 179, 180, 192, 186, 183, 177, 184, 178, 191, 174,189, 176, 190, 188, 196, 187, 184, 184, 192, 194, 198, 183,183, 181, 187, 190, 186, 176, 183, 185, 191, 180, 184, 182 Test the validity of the claim, at the 0.01 level of significance, that the mean amount of cholesterol in a standard large egg is under 190 mg.
- Fast computer: Two microprocessors are compared on a sample of 6 benchmark codes to determine whether there is a difference in speed the times (in seconds) used by each processor on each code are as follows: Code 1 3 4 Processor A 27.2 17.4 21.1 18.0 26.4 27.5 Processor B 24.2 18.3 27.9 27.8 26.1 26.1 Send data to Excel Part: 0/ 2 Part 1 of 2 (a) Find a 99% confidence interval for the difference between the mean speeds. Let d represent the speed of processor A minus the speed of processor B. Use tables to find the critical value. Carry your intermediate computations to at least 3 decimal places. Round your final answers to 2 decimal places. A 99% confidence interval for the difference between the mean speeds isPlease be advised these are practice exam questions.A study was conducted to determine whether big-city and small-town dwellers differed in their helpfulness to strangers. In this study, the investigators rang the doorbells of strangers living in a large City or small towns in the vicinity. They explained they had misplaced the address of a friend living in the neighbourhood and asked to use the phone. The following data show the number of individuals who admitted or did not admit the strangers (the investigators) into their homes: Helpfulness to strangers Admitted strangers into their home Didnot admit strangers into their home Big city dwellers 60 90 Small town dwellers 70 30 State the dependent and independent variable Is this a directional or non directional
- A biologist wants to determine if different temperatures (15oC, 25oC, or 35oC) and amounts of sunlight (partial or full) will affect the growth of plants. He will test each combination of temperature and sunlight by randomly assigning 15 plants to each of the combinations. What type of sampling is described in this study? one sample paired data two samples more than two samplesCopepods are tiny crustaceans that are an essential link in the estuarine food web. Marine scientists designed an experiment to determine whether dietary lipid Diatoms Bacteria Macroalgae 421 304 290 (fat) content is important in the population growth of a copepod. Independent random samples of copepods were placed in containers containing lipid-rich diatoms, bacteria, or leafy macroalgae. There were 12 containers total with four replicates per diet. Five gravid (egg-bearing) females were placed in each container. After 14 days, the number of copepods in each container were as given to the right. At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in mean number of copepods among the three different diets? 296 312 300 295 326 267 Click here to view page 1 of the F-distribution. Click here to view page 2 of the F-distribution. Click here to view page 3 of the F-distribution. Click here to view page 4 of the F-distribution. First,…1. At the Telecommunication firm, an Engineer tries to measure the performance of Voice Over Internet Protocol (VOIP) call using 3 mobile applications: namely Skipe, Wazzap and Telegum. Table 1 shows the percentage of calls make and percentage of call drops on each application: Application Skipe Wazzap Telegum % of calls made 40 25 35 % of calls drop 20 55 30 Table 1: Performance Measurement of VOIP a) Find the probability of call made from each application b) Find the probability of the calls dropping from each application c) Find the probability of each application having their call drops d) Find the probability of calls drop