deviation of 15. The indicated IQ score, x, is (Round to one decimal place as needed.) 0.97
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A: given data normal distributionμ = 15.2σ = 0.9P(x>15.2) = ?
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- The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of are defective, the control unit calls repair technicians for service.(a) Find the mean of p, where is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. (b) Find the standard deviation of p. (c) Compute an approximation for P(p greater than/equal to 0.0125), which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. a)Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. b)Find the standard deviation of p. c)Compute an approximation for P≥p0.0125, which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8 ounces, the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces. A sample of 50 packages is selected periodically, and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in a particular sample of 50 packages, the mean amount dispensed is 8.187 ounces, with a sample standard deviation of 0.058 ounce. Complete parts (a) and (b). Click here to view page 1 of the critical values for the t Distribution. LOADING... Click here to view page 2 of the critical values for the t Distribution. LOADING... Question content area bottom Part 1 a. Is there evidence that the population mean amount is different from 8.17 ounces? (Use a 0.01 level of significance.) State the null and…
- A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8 ounces, the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces. A sample of 50 packages is selected periodically, and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in a particular sample of 50 packages, the mean amount dispensed is 8.161 ounces, with a sample standard deviation of 0.048 ounce. Complete parts (a) and (b). Click here to view page 1 of the critical values for the t Distribution. LOADING... Click here to view page 2 of the critical values for the t Distribution. LOADING... a. Is there evidence that the population mean amount is different from 8.17 ounces? (Use a 0.10 level of significance.) Find the critical values of the t distribution Determine the p-value and…A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8 ounces, the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces. A sample of 50 packages is selected periodically, and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in a particular sample of 50 packages, the mean amount dispensed is 8.151 ounces, with a sample standard deviation of 0.046 ounce. Complete parts (a) and (b). Is there evidence that the population mean amount is different from 8.17 ounces? (Use a 0.05 level of significance.) Determine the p- value and interpret its meaning.During the Saint Louis University Foundation Day, the Director of Physical Education recorded the mean height of 37 male students who showed average participation was 70.3 inches with inches, while 32 male students who showed no interest in participation had a mean height of 69.1 inches with inches. Is the director justified that male students who showed average participation during the foundation day are taller than the other male students who showed no interest in participation? Assume that the height is normally distributed.
- Parker's Pavers has determined that a paver measuring 5 inches long has a z-score of +1 and a paver measuring 5.5 inches long has a z-score of +2.What is the mean length of the pavers produced at Parker's Pavers?The sales manager of a large company selected a random sample of n = 10 salespeople and determined for each one the values of x = years of sales experience and y = annual sales (in thousands of dollars). A scatterplot of the resulting (x, y)pairs showed a linear pattern.(a)Suppose that the sample correlation coefficient is r = 0.75 and that the average annual sales is y = 100.If a particular salesperson is 2 standard deviations above the mean in terms of experience, what would you predict for that person's annual sales?Since the value for experience is 2 standard deviations above the mean experience, you can predict annual sales will be ________________standard deviations above the mean annual sales.(b)If a particular person whose sales experience is 1.7 standard deviations below the average experience is predicted to have an annual sales value that is 1 standard deviation below the average annual sales, what is the value of r? (Round your answer to two decimal places.)r =A company manufacturers tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height the balls bounce upward to be 54.5 inches. This average is maintained by periodically testing random sampkes of 25 tennis balls. If the t-value falls between -t0.99 and t0.99, then the company will be satisfied that it is manufacturing acceptable tennis balls. A sample of 25 balls is randomly selected and tested. The mean bounce height of the sampke is 56.4 inches and the standard deviation is o.25 inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptablr tennis balls? Find -t0.99 and t0.99 Find the t-value Is the company making acceptable tennis balls?
- A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8 ounces, the company wants the pack-ages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces. A sample of 50 packages is selected periodically, and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in a particular sample of 50 packages, the mean amount dispensed is 8.159 ounces, with a sample standard deviation of 0.051 ounce. Is there evidence that the population mean amount is different from 8.17 ounces? (Use a 0.05 level of significance.) Determine the p- value and interpret its meaning.A machineproduces elastic bandswith breaking tensionnormally distributedwith mean 45N andstandard deviation4.36N. On a certain day,a sample of 50 wastested and found tohave a mean breakingtension of 43.46N. Testat 5% level ofsignificance whetherthis indicates a changein the meanThe control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1% . When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Find the mean of p , where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. Find the standard deviation of p . Compute an approximation for P≥p0.0125 , which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.