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 90% confidence interval estimate of the mean skull width.
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A: Givensample size(n)=28Mean(x)=73standard deviation(σ)=10.9confidence interval = 95%
128.4
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138.2
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125.8
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131.8
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143.2
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134.7
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138.8
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128.7
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- A sample of eight math SAT scores is given below: 600530560700630640580680600530560700630640580680 Find the first and third quartiles and the interquartile range for this sample. First Quartile = Third Quartile = Interquartile Range =According to the College Board, scores on the math section of the SAT Reasoning college entrance test for the class of 2010 had a mean of 516 and a standard deviation of 116. Assume that they are roughly normal.One of the quartiles of the scores from the math section of the SAT Reasoning test is 438. The other quartile is _______.A football coach randomly selected ten players and timed how long each player took to perform a certain drill. The times (in minutes) were: 5.5 5.7 5.0 5.9 5.3 5.9 5.5 5.9 5.0 5.5 Determine a 95 percent confidence interval for the mean time for all players.
- When students use the bus from their dorms, they have an average commute time of 8.263 minutes with standard deviation 2.9321 minutes. Approximately 75.67% of students reported a commute time greater than how many minutes? Assume the distribution is approximately normal. Question 10 options: 1) 6.22 2) 2.28 3) 14.24 4) 10.3 5) We do not have enough information to calculate the value.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).…A study of a local city is being conducted to find out the average number of people that use public transportation every day. The sample mean should be within 11 people of the mean people using public transportation. The standard deviation is 100. What is the sample size necessary for a 90% confidence level? O 15 O 223 O 224 O 14.95
- which of the following sample data: sample size= 100 sample mean= 340z/hr sample variance= 90z/ hr construct a 98% confidence interval for μ. the population mean is what?A psychologist wants to estimate the mean age at which a child learns to talk. Find the sample size necessary for a 95% confidence level to ensure that the sample mean is within 8 weeks for the mean age at which a child learns to talk. Assume sigma as 5 weeks.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.)
- 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 2Calculate a 90% lower confidence bound for the population mean using the following sample statistics: x=118.7 , s= 136.0 , n=37. Use one-decimal place accuracy.