4000 B.C. skull breadths5.1604128.69128.692.131V16toV16150 A.D. skull breadths136.25136.25V16toV16of(c) Using the formulas from part (b), find the 95% confidence intervals for the mean maximum skullbreadths of all Egyptian skulls from each period. Round each answer to the nearest hundredth (2 decimalplaces).4000 B.C. skull breadths125.938X mm to 131.437X mm150 A.D. skull breadthsmm tomm(d) Based on these confidence intervals, can we conclude with 95% certainty that the true population mean Archeologists have discovered a sample of ancient Egyptian skulls from two different time periods, 4000B.C. and 150 A.D. They believe that the mean maximum skull breadth (the width of the skull at its widestpart) has increased from 4000 B.C. to 150 A.D. A sample of 16 Egyptian skull breadths (in mm) from eachtime period is show below:4000 BC133 137130131130131123130121124 136124130 123122 134150 AD139141 141136 137 131139 128133 141 134140131 141128140(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 BC mean: 128.6876x o150 AD mean: 136.25004000 BC standard deviation: 5.1603150 AD standard deviation: 4.7679(b) Using your answers from part (a) and the formula for a 95% confidence interval as presented inlecture, fill in the blanks with the appropriate values for this problem for calculating the confidenceinterval below.• To enter Va where x is any number, type sqrt(x). For example, 2 should be written as sqrt(2).• Round the t-score to 2 decimal places.O30

Name: 4000 B.C. skull breadths5.1604128.69128.692.131V16toV16150 A.D. skull
Uploaded: 2024-03-20T07:06:16.000Z
Channel: Bartleby
Description: 4000 B.C. skull breadths5.1604128.69128.692.131V16toV16150 A.D. skull breadths136.25136.25V16toV16of(c) Using the formulas from part (b), find the 95% confidence intervals for the mean maximum skullbreadths of all Egyptian skulls from each period. R

The mean value is approximated to 2 decimal places and the standard deviation value is approximated…

Math

Statistics

133 137 130 131 130 131 123 130 121 124 136 124 130 123 122 134 150 AD 140 136 137 131 139 139 141 141 128 131 141 133 141 134 128 140 (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 BC mean: 128.6876 150 AD mean: 136.2500 4000 BC standard deviation: 5.1603 150 AD standard deviation: 4.7679 (b) Using your answers from part (a) and the formula for a 95% confidence interval as presented in lecture, fill in the blanks with the appropriate values for this problem for calculating the confidence interval below. • To enter Va where x is any number, type sqrt(x). For example, v2 should be written as sqrt(2). • Round the t-score to 2 decimal places.

133 137 130 131 130 131 123 130 121 124 136 124 130 123 122 134 150 AD 140 136 137 131 139 139 141 141 128 131 141 133 141 134 128 140 (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 BC mean: 128.6876 150 AD mean: 136.2500 4000 BC standard deviation: 5.1603 150 AD standard deviation: 4.7679 (b) Using your answers from part (a) and the formula for a 95% confidence interval as presented in lecture, fill in the blanks with the appropriate values for this problem for calculating the confidence interval below. • To enter Va where x is any number, type sqrt(x). For example, v2 should be written as sqrt(2). • Round the t-score to 2 decimal places.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: A publisher receives a copy of a 500-page textbook from a printer. The page proofs are carefully…

A: Number of errors(x) Number of pages(f) fx x-x¯ x-x¯2 fx-x¯2 0 102 0 -1.654 2.7357 279.0414 1 138…

Q: Find the mean and standard deviation of the following data. Class Interval Frequency1-7 38-14 215-21…

A: Mean is 13.1Standard deviation is 7.4154 Explanation:The given class interval frequency distribution…

Q: Find the mean and median of each of the following sets of data. Determine the deviation from the…

A: Given : 0110 0.0104 0.0105 0.0108 0.0101 53 24.68…

Q: 25 26 51 66 66 69 70 74 82 90 range = (Please enter an exact answer.) standard deviation (s) =…

Q: The mean square error (MSE) is

A: Here given , actual and forecasting sales for company Z.

Q: The following data represents the age of 30 lottery winners. 24 28 29 29 30 31 33 34 34 35 36 37…

A: According to range rule thumb the standard deviation can be estimated as S = R/r, where R is the…

Q: 211 384 396 211 224 337 395 121 356 621 367 408 515 280 289 180 431 176 318 836 203 374 224 121 412…

A: Given The number of faculty at 32 randomly selected state-controlled colleges and Universities with…

Q: Calculate the standard deviation, mode, mean, and median salary for given data. (Salary is $1000)…

A: Salary Employees 15-30 28 30-45 36 45-60 54 60-75…

Q: 3565 6781 5656 9101 10024 11366 9286 6657 7290 15558 10376 20795 4027 19100 16223 14502 2830 5785…

A: (D) Use the Excel formula, the mean of the data set is calculated as, Therefore, the mean of the…

Q: he following sample data represent the time (in minutes) required by business executives to complete…

A: Given sample data 44,18,39,40,59,46,59,37,15,73,23,19,90,58,35,82,14,38,27,24,71,25,39,84,70Find…

Q: Using your calculator, find the range and standard deviation, round to The table below gives the…

A: We know that Range : It the difference between the maximum value of the data set to the minimum…

Q: Find the standard deviation of the following exam scores. Round to the nearest hundredth. 63…

Q: The mean, median, standard deviation b. Pearson's coefficient of skewness

A: ascending order of given data xi : 20, 20, 21, 23, 24, 24, 24, 25, 25, 26, 27, 27, 27, 28, 28, 28,…

Q: The following data relate to the age of a group of Govt. employees Calculate the arithmetic mean and…

A: Given Data in ascending order : Age groups Number of employees (f) 20-25 170 25-30 110…

Q: Compute the mean change in cholesterol. Compute the standard deviation of the change in cholesterol…

A: Step 1:Heresample size (total number of observations in each case) n=24 Let, d is random variable…

Q: Use the data set of exam scores from a simple random sample of students. 50 71 89 83 73 73 81 72 30…

Q: Ages of Gamblers The mean age of a sample of 24 people who were playing the slot machines is 50.6…

A: Given,n1=24n2=32x1=50.6s1=6.8x2 =55.6s2=3.2α=0.10H0:μ1=μ2H1:μ1<μ2

Q: The weights (in pounds) of 30 participants are recorded before and after a 6 week exercise program.…

A: From the provided information, Sample size (n) = 30 Sample mean (x̅) = -3.17 Sample standard…

Q: The table below shows the total annual precipitation for San Diego, California. Year 1994 1995 1996…

A: Given: 9.4 17 7.3 7 16.1 5.4 6.9 8.5 4.2 9.2

Q: Find the range, mean, variance and standard deviation of the given data set. Pregancy Durations:…

A: Dataxx2277767292918468129587025280784002687182427877284291846812777672928279524279778412968761628581…

Q: Women have pulse rates that are normally distributed with a mean of 77.8 beats per minute and a…

A: given data, normal distributionμ=77.8σ=11.6we have to find out the probbailities for the given data

Q: Can you identify the following from this Data Set? Standard Deviation Variance Mean The following…

Q: The following data represents the age of 24 IQ scores. 81 82 83 90 91 95 95 95 100…

A: Given Information:

Q: Brand A Brand B 35 50 25 55 22 62 38 68 40 57 28 70 The prices of two different brands of…

A: Given data: Brand A 35 25 22 38 40 28 Brand B 50 55 62 68 57 70

Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

100%

4000 B.C. skull breadths
5.1604
128.69
128.69
2.131
V16
to
V16
150 A.D. skull breadths
136.25
136.25
V16
to
V16
of
(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. Round each answer to the nearest hundredth (2 decimal
places).
4000 B.C. skull breadths
125.938
X mm to 131.437
X mm
150 A.D. skull breadths
mm to
mm
(d) Based on these confidence intervals, can we conclude with 95% certainty that the true population mean

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.D. A sample of 16 Egyptian skull breadths (in mm) from each
time period is show below:
4000 BC
133 137
130
131
130
131
123
130
121
124 136
124
130 123
122 134
150 AD
139
141 141
136 137 131
139 128
133 141 134
140
131 141
128
140
(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 BC mean: 128.6876
x o
150 AD mean: 136.2500
4000 BC standard deviation: 5.1603
150 AD standard deviation: 4.7679
(b) Using your answers from part (a) and the formula for a 95% confidence interval as presented in
lecture, fill in the blanks with the appropriate values for this problem for calculating the confidence
interval below.
• To enter Va where x is any number, type sqrt(x). For example, 2 should be written as sqrt(2).
• Round the t-score to 2 decimal places.
O30

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Centre, Spread, and Shape of a Distribution$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

The height (in inches) of a random sample of players in NCAA Division 1 basketball teams is shown to the left. x 75 80 75 87 77 77 67 83 77 80 73 82 73 71 80 76 72 78 68 74 74 72 76 86 77 77 78 12 The height of the shortest player deviates from the mean height by _______ standard deviations. a -2.11 b -1.99 c -1.88 d -1.77
Find the mean, standard deviation, skewness, kurtosis of the blood sugar Blood Patient Number Pressure 145 162 128 116 130 132 110 125 139 142 |154 | 124 14 136 150 133 129 108 112 146 153 145 126 138 129 2. 3 4 6. 8. 6. 10 11 12 13 * 14 15 16 18 19 20 21 22 23 24 25
a. The range of the data is b. The standard deviation of the data is (Round your answer to 2 decimal places) c. The variance of the data is (Round your answer to 2 decimal places)
Use the display of data to find the standard deviation. Frequency 12- 10- 8- 6- 4- 2- 0- Score 5 6 7 8 9 10 11 The standard deviation is approximately (Do not round until the final answer. Then round to the nearest hundredth as needed.)
A random sample of patients visiting a hospital emergency room was obtained and the waiting time of the visitors before they saw the physician were measured. The data (in minutes) are shown below. 54 37 49 28 35 29 47 58 40 45 42 31 52 37 44 41 38 34 35 34 44 41 35 34 42 7 The largest observation in the sample deviates from the mean waiting time by ______ standard deviations. a 2.55 b 2.43 c 2.32 d 2.21
Find the range, sample standard deviation and inter-quartile range (1QR) of the following data set. 21 27 28 29 35 39 64 85 96 96 range = (Please enter an exact answer.) standard deviation (s) = (Round to one decimal place.) IQR = (Please enter an exact answer.) A new number, 156, is added to the data set above. Find the range, sample standard deviation and IQR of the new data set. range = (Please enter an exact answer.) standard deviation = (Round to one decimal place.) IQR = (Please enter an exact answer.) Which measure of spread is less affected by the addition of the extreme observation? O IQR Range O standard deviation
Consider a data set containing the following values: 92 84 85 93 95 89 86 91 The mean of the preceding values is 89.375. The deviations from the mean have been calculated as follows: 2.625 –5.375 –4.375 3.625 5.625 –0.375 –3.375 1.625 If this is sample data, the sample variance is and the sample standard deviation is . If this is population data, the population variance is and the population standard deviation is . Suppose the largest value of 95 in the data was misrecorded as 93. If you were to recalculate the variance and standard deviation with the 93 instead of the 95, your new values for the variance and standard deviation would be .
35| 29 26| 33 29 27 30 22 19 29 29 29 32| 29 29 33 25 19 19 22 Find the Mean, Median, Mode, Midrange, Variance and Standard Deviation of the data. Round to 2 decimal places if necessary. Mean: Median: Mode: Midrange: Variance: Standard Deviation:
Approximate the mean for following GFDT. Data Frequency 40 - 44 1 45 - 49 1 50 - 54 3 55 - 59 3 60 - 64 7 65 - 69 10 70 - 74 13 75 - 79 20 80 - 84 10 Approximate the mean for following GFDT. Report answer accurate to one decimal place.
8. 74 57 57 83 78 53 79 66 64 100 94 68 89 71 62 90 82 93 78 92 55 77 85 95 89 Mean = 65.3 and Standard Deviation = 30.1 a. The range within One Standard Deviation is between and and the percentage within is b. The range within Two Standard Deviations is between and and the percentage within is C. The range within Three Standard Deviations is between and and the percentage within is (round to 1 decimal place)
A printing company spends specific amounts on fixed costs every month. The costs of those fixed costs are in the table. Monthly fixed costs Monthly charges Bank charges Cleaning Computer expense Lease payments Postage Uniforms Monthly cost ($) 373 2691 2606 2580 2535 2165 Find the sample's mean, median, range, variance, and standard deviation using technology. Round to the nearest cent, if necessary. I The mean is The median is The range is The variance is The standard deviation is
Approximate the standard deviation for following GFDT. Data 60 - 64 65 - 69 70 - 74 75 - 79 80 - 84 85 - 89 90-94 95 - 99 100 - 104 Frequency 12 24 11 8 7 5 2 1 1 sample standard deviation =