Archeologists have studied sizes of Egyptian skulls in an attempt to determine whether breeding occurred between different cultures. Listed below are the widths (mm) of skulls from 150 A.D. Construct a 99% confidence interval estimate of the mean skull width. 128.3 138.2 125.9 131.6 142.8 134.8 138.9 129.4 mm <μ< mm (Round to two decimal places as needed.)
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A: From given data we have : n x s 4000 B.C. n1=30 x1=131.46 s1=5.13 A.D. 150 n2 =30 x1=136.47…
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- 300 high school students were asked how many hours.of TV they watch per day. The mean was 2 hours, with a standard deviation of .5. Using a 90% confidence level, calculate the maximum error of estimate A.7.43% B.0.27% C.5.66% D.4.75%When the population standard deviation is unknown and the sample size is greater than 30, what table value should be used in computing a confidence interval for a mean? a. z b. t c. chi square d. standard deviationPlease review Section 8.4. Answer all questions showing work for each, and rounding to the nearest integer. If the manager of a bottled water distributor wants to estimate, with 95% confidence, the mean amount of water in a 1-gallon bottle to within +0.003 gallons and also assumes that the standard deviation is 0.04 gallons, what sample size is needed? n = (Round up to the nearest integer.) TE light bult lieht
- Suppose that textbook weights are normally distributed. You measure 30 textbooks' weights, and find they have a mean weight of 65 ounces. Assume the population standard deviation is 11.6 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight. Round answers to 2 decimal places.? ? ?In a random sample of ten people, the mean driving distance to work was 22.5 miles and the standard deviation was 5.6 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean u. Interpret the results. Identify the margin of error. (Rou e as needed.) Con square miles interval for the population mean. miles (Rou miles per hour e as needed.) Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) OA. % of all random samples of ten people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. B. With % confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints. O C. It can be said that % of the population has a driving distance to work (in miles) that is…A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.01 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? 78 92 51 72 52 36 66 70 72 56 70 79 104 95 77 O A. Ho: H= 60 seconds O B. Ho: u= 60 seconds H1: µ> 60 seconds H1: µ< 60 seconds O C. Ho: H+ 60 seconds O D. Ho: µ = 60 seconds H1: µ= 60 seconds H1: µ+60 seconds Determine the test statistic (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. V Họ. There is evidence to conclude that the original claim that the mean of the population of estimates is 60 seconds correct. It that, as a group, the students are reasonably good at estimating one minute. does not appear Click to select your answer(s).…
- Assume that a sample is used to estimate a population mean. Find the 90% confidence interval for a smaple of size 46 with a mean of 68.5 and a standard deviation of 6.6. Enter the answer as an open-interval (parentheses) accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).You measure 39 textbooks' weights, and find they have a mean weight of 60 ounces. Assume the population standard deviation is 4.4 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight.Give your answers as decimals, to three placesError = ? oz.Interval = ? oz. < μ < ? oz.A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.01 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? 75 88 48 77 50 33 69 72 78 59 73 82 100 101 75 D S Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? O A. Ho: μ= 60 seconds OB. Ho: 60 seconds H₁ μ 60 seconds H₁: #60 seconds Determine the test statistic. lete (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.)
- The mean length of 25 newly hatched iguanas is 7.47 inches with a standard deviation of 0.77 inches. Assume that the lengths of all newly hatched iguanas are normally distributed. Step 2 of 2 : Construct a 98% confidence interval for the mean length of all newly hatched iguanas. Round your answer to two decimal places.With 98% confidence, we can say that the mean length of newly hatched iguanas is between _____________________.A researcher is studying how much electricity (in kilowatt hours) people from two different cities use in their homes. Random samples of 11 days from Tampa (Group 1) and 16 days from New York City (Group 2) are shown below. Test the claim that the mean number of kilowatt hours in Tampa greater than the mean number of kilowatt hours in New York City. Use a significance level of a = 0.10. Assume the populations are approximately normally distributed with unequal variances. Round answers to 4 decimal places. Tampa New York City 1015.4 1010 1010.3 1022.8 1001.7 1028.9 1001.7 1026.9 1022.6 1001.7 1020.2 1012.4 1021.9 1015.9 1018.9 1005.8 996.2 1006.1 1010.5 1012 1005.1 1025.9 1005.6 1020.2 985.3 994.9 1013.2 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols for each of the 6 spaces. Ho: Select an answer ✓ ? Select an answer ✓ H₁: Select an answer ✓ ? ✓ Select an answer ✓Researchers measured skulls from different time periods in an attempt to determine whether interbreeding of cultures occurred. Results are given below. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that the variation of maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150. n x 4000 B.C. 30 131.92 mm A.D. 150 30 136.92 mm 5.16 mm 5.31 mm What are the null and alternative hypotheses? Hoo #0₂ H₁:0₁ = 0₂ 2 2 OC H₂O²=0² H₁ <0 2 2 Identify the test statistic. F= (Round to two decimal places as needed.) B. H₂O=0₂ H₁0² #03 *D. Hollo² = 0² 2 2 2 H₁0₁20₂ 2