5. Like hurricanes and earthquakes, geomagnetic storms are natural hazards with possiblesevere impact on the Earth. Severe storms can cause communication and utilitybreakdowns, leading to possible blackouts. The National Oceanic and AtmosphericAdministration beams electron and proton flux data in various energy ranges to variousstations on the Earth to help forecast possible disturbances. The following are 25 readingsof proton flux in the 47-68 kEV range (units are in p/ (cm2-sec-ster-MeV)) on the eveningof December 28, 2011:2010231033602010232010800 21905640343020209500254033601180010600 73702160320028503500102008550226077302250(a) Find a point estimate of the mean proton flux in this time period.(b) Find a point estimate of the standard deviation of the proton flux in this time period.(c) Find an estimate of the standard error of the estimate in part (a).

The random variable X follows normal distribution. We have to find the point estimate of the mean,…

Answered: 5. Like hurricanes and earthquakes,…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Radon is a gas emitted from the ground that can collect in houses in buildings. At certain levels it can cause lung cancer. Radon concentrations are measured in picocuries per liter (pCi/L). A radon level of 4 pCi/L is considered “acceptable” Radon levels in a house vary from week to week. In one house, a sample of 6 weeks had the following readings for radon level (in pCi/L): 1.9 2.8 3.9 3.9 4.2 5.7 Find the variance and standard deviation (definitional formula). Show your work using a table.
At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. Sixty-three wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience, ? can be assumed to be 255 cm/sec.
At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. Sixty-five wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience, ? can be assumed to be 255 cm/sec. (a) Find a 95% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number.) lower limit ______cm/sec upper limit _____cm/sec
Scientists are looking at the effects of global warming on clutches of sea turtle hatchlings in different parts of the world. The data below has been collected: 1.Temperature of Incubation (in Kelvin) 2. Gender Group of Hatchling Clutch (0=0% male; 1= greater than 0% but less than or equal to 10% male; 2= greater than 10% but less than 20% male; 3= greater than 20% but less than or equal to 30% male and so on) 3. Number of hatched eggs 4. number of unhatched eggs 5. Location of Turtles (0=west North America; 1= west South America; 2= tropical regions of Pacific; 3= northwestern Atlantic; 4= Indian Ocean Which of the above variables are measured using a nominal scale, ordinal scale and ratio scale. (An answer can be none of variables) thank you
How sensitive to changes in water temperature are coral reefs? To find out, scientists examined data on sea surface temperatures and coral growth per year at locations in the Gulf of Mexico and the Caribbean Sea. Scientists examined data on mean sea surface temperatures (in degrees Celsius) and mean coral growth (in centimeters per year) over a several‑year period at locations in the Gulf of Mexico and the Caribbean. The table shows the data for the Gulf of Mexico. Sea surface temperature 26.726.7 26.626.6 26.6 26.526.5 26.326.3 26.126.1 Growth 0.850.85 0.850.85 0.790.79 0.860.86 0.890.89 0.920.92 (a) Use software to find the mean and standard deviation of both sea surface temperature ?x and growth ?y and then find the correlation ?r between ?x and ?.y. Enter your answers in the answer fields using the specific decimal place precision noted. ?¯ (rounded to four decimal places)=x¯ (rounded to four decimal places)= ?? (rounded to four decimal places)=sx…
At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. Sixty-two wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience, σ can be assumed to be 260 cm/sec. (a) Find a 95% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec (b) Does the confidence interval indicate that the population mean wind speed is such that the sand is always moving at this site? Explain. No. This interval indicates that the population mean wind speed is such that the sand may not always be moving…
Chlorophylls a and b are plant pigments that absorb sunlight and transfer the energy into photosynthesis of carbohydrates from CO2 and H2O, releasing O2 in the process. Chlorophylls were extracted from chopped up grass and measured by spectrophotometry. The table shows results for chlorophyll a for four separate analysis of five blades of grass. Chlorophyll a (g/L) Blade 1 Blade 2 Blade 3 Blade 4 Blade 5 1.09 1.26 1.1 1.23 0.85 0.86 0.96 1.21 1.3 0.65 0.93 0.8 1.27 0.97 0.86 0.99 0.73 1.12 0.97 1.03 Four replicate measurements for each blade of grass tell us the precision of the analytical procedure (sanalysis). Differences between mean values for each of the five blades of grass are a measure of variation due to sampling (ssampling). Using Excel and it’s ANOVA function, find the standard deviations attributable to sampling and to analysis, as well as the overall standard deviation arising from both sources.
Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents. Σx = 476, Σy = 87.1, Σx2 = 62,290, Σy2 = 2046.87, Σxy = 11121.3,and r ≈ 0.94367. x days 72 76 32 91 205y km/100 14.7 19.6 5.3 11.7 35.8 a) Use a 1% level of significance to test the claim ? > 0.(Use 2 decimal places.)t =critical t= b) Find the predicted distance (km/100) when a drift bottle has been floating for 60 days. (Use 2 decimal places.)________ km/100 c) Find a 90% confidence interval for your prediction of part (d). (Use 1 decimal place.)lower limit = _____…
The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Presented is the data for beak heat loss, as a percent of total body heat loss from all sources, at various temperatures in degrees Celsius. [Note: The numerical values in this problem have been modified for testing purposes.] Temperature (°C) 1515 1616 1717 1818 1919 2020 2121 2222 2323 2424 2525 2626 2727 2828 2929 3030 Percent heat loss from beak 3232 3636 3636 3333 3535 4747 5757 5151 4242 5353 4646 5252 5959 5959 6363 6262 (a) What is the equation of the least‑squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature? (Use…
10. 18.30 Temperatures are measured at various points on a heated plate (Table P18.30). Estimate the temperature at (a) x = 4, y = 3.2, and (b) x = 4.3, y = 2.7. TABLE P18.30 Temperature (°C) at various points on a square heated plate. x = 0 x = 2 y = 0 y 2 y = 4 y=6 y 8 100.00 85.00 70.00 55.00 40.00 90.00 64.49 48.90 38.78 35.00 x = 6 70.00 48.15 35.03 30.39 27.07 30.00 25.00 x = 4 80.00 53.50 38.43 x = 8 60.00 50.00 40.00 30.00 20.00
Listed below are pulse rates (beats per minute) from samples of adult males and females. Does there appear to be adifference? Find the coefficient of variation for each of the two samples; then compare the variation. A. The coefficient of variation for the male pulse rates iS (Type an integer or decimal rounded to one decimal place as needed.) B. The coefficient of variation for the female pulse rates is (Type an integer or decimal rounded to one decimal place as needed.)
How wellmaterials conduct heat matters when designing houses, forexample. Conductivity is measured in terms of watts of heatpower transmitted per square meter of surface per degree Celsius of temperature difference on the two sides of the material.The National Institute of Standards and Technology (NIST)provides data on properties of materials. Here are 9 NISTmeasurements of the heat conductivity of a particular type offibrous-glass board: 0.0339 0.0337 0.0334 0.0334 0.03330.0333 0.0333 0.0332 0.0330 (a) We can consider this an SRS of all specimens of fibrousglass board of this type. Make a stemplot. Is there any sign ofmajor deviation from Normality? (b) Give a 95% confidence interval for the mean conductivity. (c) Is there significant evidence at the 5% level that themean conductivity of this type of fibrous-glass board is not0.0330?

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