Archeologists have discovered a sample of ancient Egyptian skulls from two different time periods, 4000 B.C. and 150 A.D. They believe that the mean maximum skull breadth (the width of the skull at its widest part) has increased from 4000 B.C. to 150 A.C. A sample of 13 Eqyptian skull breadths (in mm) from each time period is show below:4000 B.C. 124, 138, 123, 118, 136, 134, 138, 135, 121, 135, 120, 136, 118 150 A.D. 139, 131, 138, 138, 133, 137, 134, 141, 142, 127, 133, 134, 130 a. Calculate the mean and standard deviation for each data set. Round each mean to 2 decimal places, and each standard deviation to 4 decimal places.4000 B.C. mean: 150 A.D. mean:4000 B.C. standard deviation: 150 A.D. standard deviation:b. Using your answers from part (a) and the formula for a 95% confidence interval. Fill in the blanks with the appropriate values for this problem for calculating the confidence interval below. To enter √x where x is any number, type √x. For example, V2 should be written as sqrt(2).c. Using the formulas from part (b), find the 95% confidence intervals for the mean maximum skull breadths of all Egyptian skulls from each period.d. Based on these confidence intervals, can we conclude with 95% certainty that the true population mean skull breadth of the Egyptian male has changed from 4000 B.C. to 150 A.D.?a. Yes. The confidence intervals for skull breadths from 4000 B.C. and 150 A.D. do not overlap, so the true population mean skull breadth for the two time periods could be different.b. Yes. The true population mean skull breadth for 150 A.D. skulls must be higher than that 4000 B.C. skulls since the confidence interval limits are higher for the 150 A.D. skulls.c. No. The margin of error of the confidence intervals for 150 a.D. skulls and 4000 B.C. skulls are unequal, so the true population mean skull breadths for the two time periods could be the same.d. No. The confidence intervals for skull breadths from 4000 B.C. and 150 A.D. overlap, so it's possible that the true population mean skull breadth for the two time periods could be the same.

Question

30-01-2020
Mathematics

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Archeologists have discovered a sample of ancient Egyptian skulls from two different time periods, 4000 B.C. and 150 A.D. They believe that the mean maximum skull breadth (the width of the skull at its widest part) has increased from 4000 B.C. to 150 A.C. A sample of 13 Eqyptian skull breadths (in mm) from each time period is show below:4000 B.C. 124, 138, 123, 118, 136, 134, 138, 135, 121, 135, 120, 136, 118 150 A.D. 139, 131, 138, 138, 133, 137, 134, 141, 142, 127, 133, 134, 130 a. Calculate the mean and standard deviation for each data set. Round each mean to 2 decimal places, and each standard deviation to 4 decimal places.4000 B.C. mean: 150 A.D. mean:4000 B.C. standard deviation: 150 A.D. standard deviation:b. Using your answers from part (a) and the formula for a 95% confidence interval. Fill in the blanks with the appropriate values for this problem for calculating the confidence interval below. To enter √x where x is any number, type √x. For example, V2 should be written as sqrt(2).c. Using the formulas from part (b), find the 95% confidence intervals for the mean maximum skull breadths of all Egyptian skulls from each period.d. Based on these confidence intervals, can we conclude with 95% certainty that the true population mean skull breadth of the Egyptian male has changed from 4000 B.C. to 150 A.D.?a. Yes. The confidence intervals for skull breadths from 4000 B.C. and 150 A.D. do not overlap, so the true population mean skull breadth for the two time periods could be different.b. Yes. The true population mean skull breadth for 150 A.D. skulls must be higher than that 4000 B.C. skulls since the confidence interval limits are higher for the 150 A.D. skulls.c. No. The margin of error of the confidence intervals for 150 a.D. skulls and 4000 B.C. skulls are unequal, so the true population mean skull breadths for the two time periods could be the same.d. No. The confidence intervals for skull breadths from 4000 B.C. and 150 A.D. overlap, so it's possible that the true population mean skull breadth for the two time periods could be the same.

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beingteenowfmao beingteenowfmao · Answer 1 · 2020-01-30T19:19:46+01:00

beingteenowfmao beingteenowfmao

30-01-2020

Answer:

4000 B.C. mean:128.923

150 A.D. mean:135.154

4000 B.C. standard deviation:8.19

150 A.D. standard deviation:4.451

Confidence Interval Calculations:

4000BC

d) Based on these confidence intervals, can we conclude with 95% certainty that the true population mean skull breadth of the Egyptian male has changed from 4000 B.C. to 150 A.D.?

D. No. The confidence intervals for skull breadths from 4000 B.C. and 150 A.D. overlap, so it's possible that the true population mean skull breadth for the two time periods could be the same.

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