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- sssy In a sample of 134 ball bearings, the average diameter was found to be 3.78mm with a standard deviation of 0.44 . Give a point estimate for the population variance of the diameter of the ball bearings. Round your answer to two decimal places, if necessary.Two teaching methods and their effects on science test scores are being reviewed. A random sample of 5 students, taught in traditional lab sessions, had a mean test score of 76.5 with a standard deviation of 3.3 . A random sample of 11 students, taught using interactive simulation software, had a mean test score of 82.3 with a standard deviation of 4.6 . Do these results support the claim that the mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software? Let μ1 be the mean test score for the students taught in traditional lab sessions and μ2 be the mean test score for students taught using interactive simulation software. Use a significance level of α=0.05 for the test. Assume that the population variances are equal and that the two populations are normally distributed. Step 3 of 4 : Determine the decision rule for rejecting the null hypothesis H0 . Round your answer to three decimal…Credit scores follow a normal probability distribution with a mean of 600 and a standard deviation of 15. About 68% of the observations will lie between blank1 - Numeric Answer and blank2 - Numeric Answer .
- High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers have calculated the maximum horsepower for the engine to be 830HP . Twenty five engines are randomly selected for horsepower testing. The sample has an average maximum HP of 820 with a standard deviation of 80HP . Assume the population is normally distributed. Step 1 of 2 : Calculate a confidence interval for the average maximum HP for the experimental engine. Use a significance level of α=0.1 . Round your answers to two decimal places.The standard deviation of the scores on a skill evaluation test is 363 points with a mean of 1239 points. If 335 tests are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 23 points? Round your answer to four decimal places.Police recorded the average speed of cars driving on a busy street by a school. For a sample of 16 speeds, it was determined that the average amount over the speed limit for the 16 speeds was 11.4 mph with a standard deviation of 6 mph. The 90% confidence interval estimate for this sample is 8.77 mph to 14.03 mph. a) What is the margin of error for this problem? b) What size sample is needed to reduce the margin of error to no more than + 17 a) The margin of error isOmph.
- The average cost of tuition plus room and board for a small private liberal arts college is reported to be $8500 per term but I financial administrator boys that the average cost is half a study conducted using 350 small liberal arts colleges showed that the average cost per term is $8745 the population standard deviation is $1200 let a =0.05.what is the p-value for this testA recent article in a business journal reported that the mean annual salary for graduates from 30 top MBA programs 10 years after graduation is $275,000 Assume the standard deviation is $54,500 24 Keep the error probability at α = 0.05. We want to build an interval which captures 95% of the sample means within ±$5,000 from the population mean. What is the minimum sample size that would yield such an interval? a 411 b 457 c 508 d 564The nutrition label for Oriental Spice Sauce states that one package of sauce has 1030 milligrams of sodium. To determine if the label is accurate, the FDA randomly selects 130 packages of Oriental Spice Sauce and determines the sodium content. The sample has an average of 1000.15 milligrams of sodium per package with a sample standard deviation of 271.69 milligrams. Step 1 of 2 : Calculate a 95% confidence interval for the mean sodium content in Oriental Spice Sauce. Round your answers to two decimal places.
- The following sample data are from a normal population: 12, 10, 14, 17, 15, 13, 8, 7. (a) What is the point estimate of the population mean? (b) What is the point estimate of the population standard deviation? (Round your answer to three decimal places.) (c) With 95% confidence, what is the margin of error for the estimation of the population mean? (Round your answer to one decimal place.)A health expert evaluates the sleeping patterns of adults. Each week she randomly selects 40 adults and calculates their average sleep time. Over many weeks, she finds that 5% of average sleep time is less than 3 hours and 5% of average sleep time is more than 3.4 hours. What are the mean and standard deviation (in hours) of sleep time for the population? (Round "Mean" to 1 decimal places and "standard deviation" to 3 decimal places.) Mean Standard deviationSuppose the amount of change IWU students carry is exponentially distributed with a mean of $0.88. Suppose that we randomly pick 25 IWU students and learn how much change they have. What type of distribution does the population, which is the change carried by IWU students, follow? What are the mean and standard deviation of the population? (6 points) What type of distribution does the sample mean follow? What are the mean and standard deviation of the sample mean? (6 points) Find the probability that the average change of 25 IWU students was between $0.80 and $1.00. Graph the situation, shade in the area to be determined, and find the probability. (6 points)
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