The diameter of holes for a cable harness is known to have a normal distribution with o = 0.03 inches. A random sample of size 12 yields an average diameter of 1.5045 inches. Find a 95% two-sided confidence interval on the mean hole diameter. Round the answers to 4 decimal places. sHs i
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- Assume that a sample is used to estimate a population mean μμ. Find the 90% confidence interval for a sample of size 17 with a mean of 52.8 and a standard deviation of 20.3. Round your answers to two decimal places. ________< μμ < __________A random sample is obtained from a normal population with a mean of u=95 and a standard deviation of o=40. The sample mean is M=86. a.is the a representative sample mean or an extreme value for a sample of n=16 scores?Use the given data to find the 95% confidence interval estimate of the population mean μ. Assume that the population has a normal distribution. Give your answers to 2 decimal places. IQ scores of professional athletes: Sample size n 25 Mean x = 104 Standard deviation s = 9 = <μ<
- In the entire population of a certain type of tree, the mean height of the trees is μ = 168.8 ft and the standard deviation is σ = 43.6 ft. You collect a random sample of n=22 trees. The distribution of these sample means is shown below. Each tick mark on the horizontal axis is a distance of one more standard error. Complete the indicated boxes, correct to two decimal places. mean of distribution=168.8 standard error=9.30 Note: The left box is 2 standard errors below the mean. The middle box is the mean. The right box is 2 standard errors above the mean.The pulse rates of 149 randomly selected adult males vary from a low of 40 bpm to a high of 116 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 90% confidence that the sample mean is within 2 bpm of the population mean. Complete parts (a) through (c) below. a. Find the sample size using the range rule of thumb to estimate o. n= (Round up to the nearest whole number as needed.) b. Assume that o = 10.1 bpm, based on the value s = 10.1 bpm from the sample of 149 male pulse rates. n= (Round up to the nearest whole number as needed.) c. Compare the results from parts (a) and (b). Which result is likely to be better? The result from part (a) is the result from part (b). The result from because is likely to be betterPlease answer all of the questions by showing calculations
- A population has a mean μ = 73 and a standard deviation o = 28. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 257. Hx ox (Simplify your answer.) (Type an integer or decimal rounded to three decimal places as needed.)As a bonus assignment a former student checked if your professor gave a statisticallysignificant difference in grades between his male and female students. She based herstudy based on grades assigned in intermediate Econ courses (Econ 303, 305 and 317)and her sample included nm = 485 male students and nf = 264 female students. Theaverage grades received were xm = 84.6 and xf = 85.8 The population standad deviation were σ m = 12.0 and σ f = 11.4 8. From the same extra-credit study as in question 7 see above, this former student found that the proportion of female students in principle courses (Econ 203, 205) was ?̅? = 0.380, while the proportion of female students in intermediate courses (Econ 303, 305, 317) was ?̅? = 0.352. The principle courses sample size was np = 782, while the intermediate courses sample size was ni = 749. Test the hypothesis that female students are less in intermediate courses using a 90% confidence level and the p-value approach.You measure 40 randomly selected textbooks' weights, and find they have a mean weight of 78 ounces. Assume the population standard deviation is 6.4 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight. Give your answers as decimals, to two places εμε
- The pulse rates of 168 randomly selected adult males vary from a low of 39 bpm to a high of 111 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 98% confidence that the sample mean is within 2 bpm of the population mean. Complete parts (a) through (c) belowA population of size 20 is sampled without replacement. The standard deviation of the population is 0.35. We require the standard error of the mean to be no more than 0.15. What is the minimum sample size?The pulse rates of 152 randomly selected adult males vary from a low of 40 bpm to a high of 104 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 98% confidence that the sample mean is within 3 bpm of the population mean. Complete parts (a) through (c) below. a. Find the sample size using the range rule of thumb to estimate o. n3= (Round up to the nearest whole number as needed.)