What is a point estimate for the true mean soap content of all containers
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The contents of 10 similar containers of a commercial soap are 10.2, 9.7, 10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.3 and 9.8 liters. Assume that the soap content measurements follow an approximate normal distribution.
- What is a point estimate for the true mean soap content of all containers?
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- The following data are collected from pregnant women to compare the Plasma ascorbic acid level of smokers and non-smokers. Table: Plasma ascorbic acid values Non-smokers 0.97, 0.72, 1.00, 0.81, 0.62, 1.32, 1.14, 1.22, 0.90, 0.74, 0.88, 0.94 Smokers 0.88, 0.71, 0.98, 0.79, 1.01, 1.16, 0.78, 1.28 Test whether there is any difference between plasma ascorbic acid levels of smokers and non-smokers. Also find 95% confidence interval for the difference of two means. Describe your findings. Use alpha=0.05 [Hint: use hypothesis, test statistics confidence interval etc.]A boat capsized and sank in a lake. Based on an assumption of a mean weight of 143 lb, the boat was rated to carry 70 passengers (so the load limit was 10,010 lb). After the boat sank, the assumed mean weight for similar boats was changed from 143 lb to 171 lb. Complete parts a and b below. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 178.9 lb and a standard deviation of 35.8 lb. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 143 lb. The probability is____To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 40 feet. Assume the population standard deviation is 4.9 feet. The mean braking distance for Make B is 44 feet. Assume the population standard deviation is 4.6 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Identify the claim and state H, and Ha. What is the claim? A. The mean braking distance is different for the two makes of automobiles. B. The mean braking distance is less for Make A automobiles than Make B…
- To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both the number of births x per one thousand people in the population and the female life expectancy y (in years) are given. These data are displayed in the Figure 1 scatter plot. Birthrate, x (number of births per 1000 pop.) Female life expectancy, y (in years) 80- 49.9 61.5 28.4 72.5 75- 49.9 60.9 70+ 24.5 74.7 65- 14.9 70.9 60- 50.5 53.9 55 39.6 65.1 36.8 69.3 50- 31.7 63.7 46.2 57.6 19.2 74.0 Figure 1 14.7 75.0 x = 33.86 ỹ = 66.59 Sx = 13.65 Sy 7.15 The least-squares regression line for these data has a slope of approximately –0.46. Answer the following. Carry your intermediate computations to at least four decimal places. a. What is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places. b. What is the value of the sample correlation coefficient for these data? Round your…7. Assume the following normal distribution to represent the plasma cholesterol values of randomly selected individuals in mmol/L. o = 0.5 5.2 a. Convert 4.15 mmol/L to z score. b. Convert 6.55 mmol/L to z score. c. Convert 4.39 mmol/L to z score. d. What value in mmol/L corresponds to a z score of 1.38? e. What value in mmol/L corresponds to a z score of -0.44? f. Find P(X s 5.89) g. Find P(X 2 4.59) h. Find P(4.39 sX< 5.60) i. Find x such that P(X 2 x) = 0.0359 j. Find x such that P(4.98 s Xs x) = 0.6598
- A researcher collected how many grams of fat people on a specific diet consumed at breakfast and at lunch. The data for a sample of 8 people is shown in the table below. xx 11.3 8.2 7.2 3.6 2.3 2.5 2.7 0.4 yy 13.7 10.7 10.2 7.2 6.3 6.5 6.1 4.1 xx = grams of fat in breakfastyy = grams of fat in lunchThis data can be modeled by the equation ˆy=0.84x+4.07.y^=0.84x+4.07.Given this, how many grams of fat in lunch would be expected for a person who consumed 1.2 grams of fat at breakfast? Round to 1 decimal place.Answer =Periodically, the county Water Department tests the drinking water of homeowners for contaminants such as lead and copper. The lead and copper levels in water specimens collected in 1998 for a sample of 10 residents of a subdevelopement of the county are shown below. lead (μμg/L) copper (mg/L) 4.4 0.643 2.4 0.57 1.5 0.46 2.6 0.895 5.9 0.2 3.4 0.54 3.8 0.245 1.6 0.583 5.7 0.769 1.7 0.215 (a) Construct a 9999% confidence interval for the mean lead level in water specimans of the subdevelopment. ≤μ≤Because the mean is very sensitive to extreme values, it is not a resistant measure of center. By deleting some low values and high values, the trimmed mean is more resistant. To find the 10% trimmed mean for a data set, first arrange the data in order, then delete the bottom 10% of the values and delete the top 10% of the values, then calculate the mean of the remaining values. Use axial loads (pounds) of aluminum cans listed below for cans that are 0.0111 in. thick. Identify any outliers, then compare the median, mean, 10% trimmed mean, and 20% trimmed mean. 247 261 269 273 275 280 282 282 284 285 285 287 290 292 293 296 296 299 311 507 Identify any outliers. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The outlier(s) is/are pounds. (Type a whole number. Use a comma to separate answers as needed.) C OB. There are no outliers.
- Cholesterol Assume the cholesterol levels of adultAmerican women can be described by a Normal modelwith a mean of 188 mg/dL and a standard deviationof 24.a) Draw and label the Normal model.b) What percent of adult women do you expect to havecholesterol levels over 200 mg/dL?c) What percent of adult women do you expect to havecholesterol levels between 150 and 170 mg/dL?d) Estimate the IQR of the cholesterol levels.e) Above what value are the highest 15% of women’scholesterol levels?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 :Mode