A company produces steel rods. The lengths of

amara labonog 2022-04-09

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 121.1-cm and a standard deviation of 2.2-cm. For shipment, 26 steel rods are bundled together.

Find P91, which is the average length separating the smallest 91% bundles from the largest 9% bundles.
P91 = -cm

Enter your answer as a number accurate to 2 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

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asked 2022-05-02

PROBLEM: An archaeologist has conducted an archaeological surface survey in a region of western New Zealand consisting of a large and fertile valley with a major river flowing down to the coast. The archaeologist has hypothesized that the extremely complex Maori chiefdoms that the Europeans encountered upon contact in the 17th century were actually relatively recent developments in response to population pressure in the latest prehistoric phase. Further, she has argued that what was once a coastally-focused chiefdom oriented towards a maritime economy, became increasingly inland-focused over time, with a subsistence emphasis on root crop agriculture rather than marine resource exploitation in the latest phase.

            Sites appear on the surface as large quantities of subsistence debris and lithic artifacts (they had no ceramics), without standing architecture except for readily visible stone ceremonial platforms. The archaeologist has identified two major cultural phases in the region: (1) PHASE I (dated to about A.D. 1000-1300) and (2) PHASE II (dated to about A.D. 1300-1500) from 3 different sites. The archaeologist would like to examine the variable of “population size” in two ways: the absolute size of the site and the number of stone ceremonial platforms. The archaeologist has also reasoned that she can get into the issue of relative reliance on agriculture vs. maritime subsistence by looking at both the distance of sites from the coast and the relative density of fish bones, shell and other marine resources in the surface remains at the site before and after a long period of time. The data collected are as follows:

 

SitePeriodSize (in ha.)# Ceremonial StructuresDistance to Coast (in km)% Marine Resources(before)% Marine Resources(after)
113.405.003.2061.0058.00
219.807.001.2056.0055.00
314.206.003.3054.0052.00
111.202.007.3031.0029.00
213.306.004.4061.0060.00
312.504.005.3045.0045.00
115.405.002.1058.0058.00
211.602.006.8046.0045.00
312.805.005.8047.0046.00
114.706.003.4051.0050.00
213.604.004.4062.0061.00
319.703.002.4053.0053.00
112.202.006.7032.0030.00
212.803.005.2061.0060.00
312.904.004.2067.0066.00
125.405.001.3056.0055.00
223.302.009.3016.0014.00
329.406.007.5032.0030.00
128.204.005.8045.0043.00
2213.408.007.8034.0030.00
322.202.008.5026.0025.00
126.505.005.6042.0042.00
227.305.006.3041.0040.00
324.304.008.9024.0023.00
124.103.009.1012.0011.00
227.104.007.1048.0046.00
329.506.007.5036.0035.00
123.504.003.2057.0056.00
2210.306.006.2034.0033.00
322.503.004.5046.0046.00
125.604.005.3049.0049.00
229.105.006.5035.0035.00
329.907.007.2022.0022.00
123.203.004.3054.0053.00
229.207.007.1035.0030.00
325.305.008.3032.0032.00
124.905.009.5021.0020.00
225.105.0010.2012.0015.00
326.106.008.2023.0023.00
126.806.006.7033.0030.00

 

a.       Using the variable “ceremonial structures’, plot a histogram, run the descriptives and interpret the results.

b.      Construct a frequency distribution table for the sites and periods then interpret.

c.       Construct a 95% Confidence Interval for the variable “distance to coast (in km)” then interpret.

d.      Is there a reason to believe that the sample average site size (in ha) is the same as the population site size of 6 ha? Run the appropriate statistical tool and interpret.

e.       The archaeologist suspects that the percentage of marine resources decreased after a long period of time. Is there a reason to believe in the archaeologist’s claim?

f.       Is there a significant difference in the site size between the two periods?

g.      Is there a significant difference in the ceremonial structures between the three different sites?

Thankyou!

asked 2022-04-03

The symmetric difference of A and B, denoted by A B, is the set containing those elements in 
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asked 2022-03-24

Given an sample of data set X which is normal-distributed to N(μ=240,σ), I want to find the 95% confidence interval of max(μ200,0). As the max(μ200,0) cut the normal-distribution curve at the point of 200, the sample of max(μ200,0) is not more normal distributed. Therefore what is a reasonable 95% confidence interval?

asked 2022-04-06

In a study of the accuracy of fast food​ drive-through orders, Restaurant A had

302

accurate orders and

69

that were not accurate.

a. Construct a

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confidence interval estimate of the percentage of orders that are not accurate.

b. Compare the results from part​ (a) to this

90​%

confidence interval for the percentage of orders that are not accurate at Restaurant​ B:

0.164<p<0.238.

What do you​ conclude?

 

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asked 2022-04-14

In a jet engine a diffuser decreases the kinetic energy of the air entering the engine.  The air enters a the diffuser at 132 kPa and 25°C with a velocity of 502 m/s and leaves at 229 kPa and 64°C.  The heat lost from the diffuser is estimated to be 6 kJ/kg.  Determine the exit velocity in m/s to 1 decimal place.  Take the specific heat at constant pressure of air to be 1.009 kJ/(kgK).

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