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Q: Let X value of n. Binomial(n, p). Show that the Var(X/n) has a maximum at p= .5, for a given fixed 2...
A: Given that X follows Binomial(n,p)
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Q: The data shown below are from the same patients, measured before and after doses of insulin in 12 pr...
A: Given: Patient no. Dose at start Dose at end 1 64 64 2 36 64 3 36 60 4 48 50 5 48 10...
Q: What is the critical value for a right-tailed t test when alpha = 0.025 and n = 13? Explain.
A: We have to find critical value.
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A: The hypothesis being tested is: H0: µ = 11 Ha: µ ≠ 11
Q: Expected value and variance ?
A:
Q: 4. According to the 2009 current Population Survey conducted by the U.S. Census Bureau, 40% of the U...
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Q: - Q6)Find uy of the following joint * density function f(x,y) 1 2 0.1 0.05 0.02 0.1 0.35 0.05 3 0.03...
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Q: What kind of variables are the following variables according to the values they take and which sca...
A: What kind of variables are the following variables according to the values they take and which sca...
Q: Picture
A: At a 98% confidence level, the z value is 2.33 which can be obtained by using the standard normal ta...
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A: State the null hypothesis. The null hypothesis is stated below as follows: That is, the standard de...
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Q: The mean percent of childhood asthma prevalence in 43 cities is 2.42%. A random sample of 33 of the...
A: In question, Given that the mean percent of childhood asthma prevalence in 43 cities is 2.42%. A ra...
Q: Step by step. Thank you
A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...
Q: The data shown below are from the same patients, measured before and after doses of insulin in 12pre...
A: We want to test the hypothesis These data are paired data , so we use paired t test for finding th...
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A: From the provided information, Sample size (n) = 36 Sample mean (x̅) = 7.1 Population standard devia...
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A: The null and alternative hypothesis is: This corresponds to a right-tailed test.
Q: One of the reasons Chi-square is one of the most popular types of significance tests used by researc...
A: Correct answer is d. all of the above
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Q: In performing a hypothesis test, one should decide whether to reject or not reject the null hypothes...
A: We have to find statement is true or false.
Q: You are performing a two-tailed t-test with a sample size of 19 If a = 0.02, and your test statistic...
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Q: Please show ALL Steps Topic: Moment Generating Functions, Probability Generating Functions, Laplace ...
A: To find the value of c, we will use the fact that the integration of pdf over whole range of X is 1.
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Q: Q2) The shelf life, in days, for bottles of a certain prescribed medicine is a random variable havin...
A: Correct answer is 0.1840134
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Q: Statistics question is below
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Q: 2. A carnival wheel of fortune for a July 4thfair is divided into 5 equal areas colored red, blue, r...
A: Chi square test statistic value = 2.35 The P-Value is .308819. The result is not significant at p &...
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Q: n=2485; p=0.63 find the standard deviation, o, for the binomial distribution which has the stated va...
A: From the provided information, Sample size (n) = 2485 Proportion (p) = 0.63
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A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for y...
Q: Please help
A: Correct answer is 11
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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- The manufacturer of hardness testing equipment uses steel-ball indenters to penetrate metal that is being tested. However, the manufacturer thinks it would be better to use a diamond indenter so that all types of metal can be tested. Because of differences between the two types of indenters, it is suspected that the two methods will produce different hardness readings. The metal specimens to be tested are large enough so that two indentions can be made. Therefore, the manufacturer uses both indenters on each specimen and compares the hardness readings. Construct a 95% confidence interval to judge whether the two indenters result in different measurements. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Click the icon to view the data table. Construct a 95% confidence interval to judge whether the two indenters result in different measurements, where the differences are computed…The manufacturer of hardness testing equipment uses steel-ball indenters to penetrate metal that is being tested. However, the manufacturer thinks it would be better to use a diamond indenter so that all types of metal can be tested. Because of differences between the two types of indenters, it is suspected that the two methods will produce different hardness readings. The metal specimens to be tested are large enough so that two indentions can be made. Therefore, the manufacturer uses both indenters on each specimen and compares the hardness readings. Construct a 95% confidence interval to judge whether the two indenters result in different measurements. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. LOADING... Click the icon to view the data table.Specimen Steel ball Diamond1 50 522 57 563 61 614 71 745 68 696 54 567 65 688 51 519 53 56 Construct a 95% confidence interval to…I need some assisistance with this hoemwork
- Globally, 35% of all ridged brittleshell tortoises have spots on their shells. A herpetologist in Citition collects a sample of 38 ridged brittlesell tortoises and finds that 16 of them have spots on their shells. The herpetologist would like to test the claim that the proportion of ridged brittleshell tortoises in Cititon with spots on their shells is greater than 35%. The herpetologist ends up rejecting the null hypothesis. If the actual proportion of ridged brittleshell tortoises in Cititon with spots on their shells is 41%, then what type of error, if any, has occurred? In the problem above, what is the test statistic?The Us food and Drug administration has a limit for mercury content in fish of 1.0ppm (parts per million) while in Canada the limit is 0.5 ppm. Using the variable average mercury in the Florida lakes dataset to test whether there is evidence that average mercury level of fish ( large mouth Bass) in Florida lakes is less than 1.0ppm and whether there is evidence that average mercury level of fish in Florida lakes is less than 0.5ppm. STATE THE NULL AND ALTERNATIVE HYPOTHESES? GIVE THE TEST STATISTICS AND P-VALUE? round the test statistic to two decimal places and the p-value to three decimal places. DOES THIS SAMPLE PROVIDE EVIDENCE THAT THE AVERAGE MERCURY LEVEL OF FISH (LARGE MOUTH BASS) IN FLORIDA LAKES IS LESS THAN 1.0PPM? LESS THAN 0.5 PPM : STATE THE NULL AND ALTERNATIVE HYPOTHESES. GIVE THE TEST STATISTICS AND P-VALUE ? round the test statistic to two decimal places and the p-value to three decimal places. DOES THIS SAMPLE PROVIDE EVIDENCE THAT THE AVERAGE MERCURY…Is there a possiblity to get an explanation to solve this problem?
- A rural county presently uses Asphalt A to pave its highways, but is considering using themore expensive Asphalt B (which is reported to be more durable). The two types of asphaltare tested using 200m test strips on five different two-lane highways. On each test strip, arandomly selected lane was paved with Asphalt A and the lane in the opposing direction waspaved with Asphalt B. It has been determined that it is more economical to use Asphalt B ifthe length of time before resurfacing is required (i.e. longevity) is at least 2.5 years longer onaverage than that of Asphalt A. Assume that the longevity of each type of asphalt is normally distributed. Using a 2% significance level and assuming that the data for the two types of asphalt at eachtest strip can be paired, determine if Asphalt B lasts at least 2.5 years longer than Asphalt Aon average. Location 1 2 3 4 5Asphalt A 11.2 9.0 10.7 11.4 8.5Asphalt B 18.8 11.7 19.9 19.0 13.4Is there a treatment that appears to be most effective in the sandy and dry region?Recently, the factory began a new production line that is more efficient than the existing production line. However, the factory still needs ball bearings to meet the same specifications. To compare the accuracy of the new process against the existing process, the factory decides to take two random samples of ball bearings. The first sample is of 50 randomly selected ball bearings from the existing production line, and the second sample is of 50 randomly selected ball bearings produced from the new production line. For each sample, the diameters of the ball bearings were measured. Suppose that the factory claims that the proportion of ball bearings with diameter values less than 2.20 cm in the existing manufacturing process is the same as the proportion in the new process. At alpha=0.05, is there enough evidence that the two proportions are the same? Perform a hypothesis test for the difference between two population proportions to test this claim. Given: (data below was calculated…
- An explosion at a construction site could haveoccurred as the result of static electricity, malfunctioningof equipment, carelessness, or sabotage. Interviews withconstruction engineers analyzing the risks involved ledto the estimates that such an explosion would occur withprobability 0.25 as a result of static electricity, 0.20 as aresult of malfunctioning of equipment, 0.40 as a result ofcarelessness, and 0.75 as a result of sabotage. It is alsofelt that the prior probabilities of the four causes of theexplosion are 0.20, 0.40, 0.25, and 0.15. Based on all thisinformation, what is(a) the most likely cause of the explosion;(b) the least likely cause of the explosion?The City Council proposed to utilize government-owned land with an area of 21,600 square meters. One-third of the area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As the city engineer, you were tasked to determine the rate at which the total average number of COVID cases is increasing at x=10 tents and dxdt=1 tent per day,given that if 25 tents are built, the average number of COVID cases per tent will be 6 cases while the average number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding.A pharmaceutical company knows that approximately 5% of its birth- control pills have aningredient that is below the minimum strength, thus rendering the pill ineffective. What is theprobability that fewer than 10 is a sample of 200 pills will be ineffective?