Given the following data determine the number of expected defective units in 100 samples taken from the same process Mean = 1.29 Standard deviation 2.49 %3D RTY = 88
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- A survey found that women's heights are normally distributed with mean 62.2 in. and standard deviation 3.9 in. The survey also found that men's heights are normally distributed with mean 67.9 in. and standard deviation 3.4 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 64 in. Complete parts (a) and (b) below. ..... a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is %. (Round to two decimal places as needed.) Since most men the height requirement, it is likely that most of the characters are b. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements? The new height requirements are a minimum of in. and a maximum of in. (Round to one decimal…1. You are interest in studying the mean BMI (Body Mass Index) for collegestudents. The population standard deviation of BMI is unknown. Youselect a sample of size 28 and compute the sample mean to be 21.8 with asample standard deviation of 2.6 a. For a 99% level of confidence what is the appropriate critical valuet*that needs to be used to calculate the margin of error? Determinethe value of the critical value using a table or preferred technologicaltool. Show the degrees of freedom to receive full credit. b. What is the margin of error for a 99% confidence interval for themean BMI?Suppose the mean retail price oer gallon of regular gasoline int the United States is $3.42 with a standard eviation of $0.40 and the retail price per gallon has a normal bell shaped distribution. Use the Empirical Rule to answer the following quesitona. What percentage of regular gasoline sold between $2.62 and $3.82 per gallon? what percentage of regualr gasoline sold for more the $3.82 per gallon?
- Concrete cubes are used to test the quality of mix from a concrete mixing plant. 28 day compressive strength is taken as the standard measure to test the quality of the mix. Tests show that mean compressive strength of a sample of cubes is 28.4 units with a standard deviation of 2.95 units. To assure quality, the mixing company requires that at least 95% of the samples have compressive strength greater than 24 units. Based on this information and assuming a large sample size, answer the following questions. After major improvements on the plant, the mixing company is able to make cubes more consistent (reduce SD of compressive strength but maintain the same mean). For what value of the new SD will be cube standards be just met? Based on the requirements, only about___% of the samples meet the company standards.?A survey found that women's heights are normally distributed with mean 63.1 in. and standard deviation 2.7 in. The survey also found that men's heights are normally distributed with mean 68.9 in. and standard deviation 3.8 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 62 in. Complete parts (a) and (b) below. ..... a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is %. (Round to two decimal places as needed.)In a machining process, diameter of a product is of concern as a quality characteristic. Control charts are to be constructed to control the mean diameter quality characteristic. Suppose that the machining process operates with a mean diameter of 5.00 mm and a known standard deviation of o=0.09 mm. Samples of size n=9 parts will be used for the control process. a) Determine the Upper and Lower Control Limits (UCL and LCL) for the 30 control chart to be used to control mean diameter based on the sample means. UCL= LCL= b) Suppose 7 samples (each with size n=9) are taken from the process and their mean values determined as below. Indicate the sample mean which is out of control. ₁5.01, 4.90, 4.96, 5.05, 4.89, 5.095, 4.965 Sample means out of Control- Type of Error= c) If a sample mean of 5.11 is obtained and found that it is outside the control limits, the process will be stopped for corrective action because the control chart signals that the process is out of control, while the process…
- A factory produces tables which are claimed on average to have a length of 150.0 cm. Assume the standard deviation is known to be a = 0.6 cm, and that the length of tables is normally distributed. The factory's manager wants to carry out a test of: Ho : = = 150.0 vs. H₁ < 150.0 at the 10% significance level. Determine the sample size which is necessary for the test to have 99% power if the true mean length is 149.7 cm.In an automobile repair and service industry, the average number of defective items in all the lots of automobile parts produced by a machine last week was 8. The supervisor believes that the mean number of defective parts produced by the same machine will differ in the present week. To test whether the average differs from 8, he samples 30 lots to obtain the mean number of defective parts to be 9 with a standard deviation of 3.Using the critical value approach, identify the decision at the 5% level of significance. Group of answer choices The decision is not to reject H0 because the test statistic does not fall in the rejection region (-∞,-1.960] U [1.960, ∞). The decision is to reject H0 because the test statistic falls in the rejection region (-∞,-1.645]. The decision is not to reject H0 because the test statistic does not fall in the rejection region [1.645, ∞). The decision is not to reject H0 because the test statistic does not fall in the rejection region (-∞,-1.645] U…A particular manufacturing design requires a shaft the diameter between 22.87 mm and 23.012 mm. The manufacturing process yield shaft with diameter is normally distributed with a mean of 23.004 mm and a standard deviation of 0.004 mm complete part a through C. For this process what is the proportion of sharks with a diameter between 22.87 mm and 23.00 mm
- 3. Overa long period of time, it was found that the time taken for the standard physical task is normally distributed with mean 50 seconds, and variance 100 sec². A sample of 75 workers were given a special and unusual diet for three weeks before they were observed performing said standard physical task. The mean time taken by this sample is 46 seconds. Is this significant evidence that the special diet has made a difference in their performance. Use a 5%level of significance.Does chronic hepatitis C infection impact bone mineral density? In the general population of healthy young adults, bone mineral density is Normally distributed, and density scores are standardized to have a mean u of 0 and a standard deviation o of 1. A study examined the bone densities of a random sample of 28 adult men suffering from chronic hepatitis C infection. Their mean standardized bone density was -0.61. Does this provide strong evidence that the mean standardized bone density of adult men suffering from chronic hepatitis C infection is less than 0?The specifications for the production of a certain alloy call for 23.2% copper. A sample of 10 analyses of the product showed a mean copper content of 23.5% and a standard deviation of 0.24 %. Can we conclude at 0.01 significance levels that the product meets the required specifications