Salma is studying the growth of a particular type of plant. She is testing the effects of four growth factors: lighting, age, temperature, and humidity. Here are the levels she's testing for each. Levels None, Low, Medium, High, Very high 1 month, 2 months, 3 months 20 °C, 22 °C, 24 °C Low, Medium, High She wants to find the number of ways of combining one level from each of the growth factors. How many ways are there? 0 Growth factor Lighting Age Temperature Humidity x

Salma is studying the growth of a particular type of plant. She is testing the effects of four growth factors: lighting, age, temperature, and humidity. Here are the levels she's testing for each. Levels None, Low, Medium, High, Very high 1 month, 2 months, 3 months 20 °C, 22 °C, 24 °C Low, Medium, High She wants to find the number of ways of combining one level from each of the growth factors. How many ways are there? 0 Growth factor Lighting Age Temperature Humidity x

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter7: Integration

Section7.CR: Chapter 7 Review

Problem 88CR

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Oil ProductionThe following table shows the amount of crude oil in billions of barrels produced in the United States in recent years. Source: U.S. Energy Information Administration. Year Crude Oil Produced 2002 2.097 2003 2.060 2004 1.989 2005 1.893 2006 1.857 2007 1.853 2008 1.830 2009 1.954 2010 2.000 2011 2.063 2012 2.377 In this exercise we are interested in the total amount of crude oil produced over the 10-year period from mid-2002 to mid-2012, using the data for the 11 years above. One approach is to sum up the numbers in the second column, but only count half of the first and last numbers. Give the answer to this calculation. Approximate the amount of crude oil produced over the 10-year period 2002-2012 by taking the average of the left endpoint sum and the right endpoint sum. Explain why this is equivalent to the calculation done in part a. This is also equivalent to a formula known as the trapezoidal rule, discussed in the next chapter. If your calculator has a cubic regression feature, find the best-fitting cubic function for these data, letting t=0 correspond to 2000. Then integrate this equation over the interval [2.12] to estimate the amount of crude oil produced over this time period. Compare with your answer to part a.
You want to determine the effect of soap on bacterial colonies. In order to make sure that the environment does not affect your experiment, you divide 13 different petri dishes in half - one side is exposed to soap, the other is a control. You may use R but please show all the steps and codes involved. You measure the number of colonies that grow in each petri dish and come up with the following results: petri dish: 1 2 3 4 5 6 7 8 9 10 11 12 13soap: 10 5 7 10 19 11 13 17 19 8 11 10 16control: 20 17 11 17 26 18 21 25 24 17 17 17 21 Perform a complete hypothesis test to see if there is a difference in bacterial colonies between the soap and control dishes.
Yolanda is studying the growth of a particular type of plant. She is testing the effects of four growth factors: lighting, age, temperature, and humidity. Here are the levels she's testing for each. Growth factor Levels Lighting Low, Medium, High, Very high Age 1 month, 2 months, 3 months, 4 months Temperature 20 °C, 22 °C, 24 °C, 26 °C Humidity Low, Medium, High She wants to find the number of ways of combining one level from each of the growth factors. How many ways are there? Explanation Check 2021 McGraw-HI ucation All Rights Reserved Terms of Use MacBook Air F11 F9 F10 F8 D00 D00 F4 F3 esc F2
Brian is studying the growth of a particular type of plant. He is testing the effects of four growth factors: lighting, age, temperature, and humidity. Here are the levels he's testing for each. Growth factor Levels Lighting None, Low, Medium, High, Very high 1 month, 2 months, 3 months, 4 months, 5 months Age Temperature 20 °C, 22 °C, 24 °C, 26 °C, 28 °C Humidity Low, Medium, High He wants to find the number of ways of combining one level from each of the growth factors. How many ways are there? Explanation Check 5 S hp Oll Ⓒ2022 McGraw Hill LLC O Rights Reserved. Terms of Use Privacy Center
Yoko is studying the growth of a particular type of plant. She is testing the effects of four growth factors: lighting, age, temperature, and humidity. Here are the levels she's testing for each. Growth factor Levels Lighting None, Low, Medium, High, Very high Age 1 month, 2 months, 3 months, 4 months, 5 months, 6 months Temperature 20 °C, 22 °C Humidity Low, Medium, High She wants to find the number of ways of combining one level from each of the growth factors. How many ways are there?
A certain affects virus 0.4% of the population (in a population of 100,000 people, 400 will be infected with the virus). A test used to detect the virus in a person is positive 87% of the time if the person has the virus (true positive) and it is positive 14% of the time if the person does not have the virus (false positive). Fill in the remainder of the following table and use it to answer the questions below. Infected Not Infected Total Positive Test Negative Test Total 400 99,600 100,000 Round all percents to the nearest tenth of a percent as needed. a) Examine the "Positive Test" row of the table. If a person tests positive for the virus, what is the probability that the person is really infected. (Note: in medical terminology, this probability measures the "positive predictive value" of the test) b) If a person tests negative for the virus, what is the probability that the person really is not infected. (This is called the "negative predictive value")
*** For Numbers 9 and 10: Clean precipitation has a pH of 5.0 to 5.5 but in a certain county, precipitation pH is 3.0 to 4.0, meaning that the precipitation is acidic. A study was conducted to determine the effect of five pH levels (4.7, 4.0, 3.3, 3.0, and 2.3) on trees. One hundred six-week-old birch tree seedlings were equally divided into 20 groups and four groups were randomly allocated to each of the pH levels. The seedlings within each group received the level of acid mist 6 hours a week for 17 weeks, and the total dry weight per group was recorded at the end of the experiment. After completing the data and performing the preliminary analysis in jamovi ©, they obtained the following p-values: Shapiro-Wilk Test for Residuals: 0.0104, Levene's Test: 0.0417, and Test for differences: 0.1502. 9. Based on the results of the test of hypothesis for the assumptions of ANOVA, which of the following is recommended at 5% level of significance? A. Test first if subsampling is significant. B.…
A certain affects virus 0.4% of the population (in a population of 100,000 people, 400 will be infected with the virus). A test used to detect the virus in a person is positive 87% of the time if the person has the virus (true positive) and it is positive 14% of the time if the person does not have the virus (false positive). Fill in the remainder of the following table and use it to answer the questions below. Infected Not Infected Total Positive Test Negative Test Total 400 99,600 100,000
A researcher wants to know how long it takes, on average, for a certain species of bacteria to divide. She watches 17 cells through a microscope and times how long it takes them to divide. She obtains the following data, in hours:8.1, 7, 7.4, 7.4, 6.6, 7.3, 7.5, 7, 7.7, 6.9, 7.9, 6.7, 6.7, 6.9, 7.5, 7.1, 7.3Assuming the population standard deviation is σ=0.4, construct a 89% confidence interval for the average time it takes this species of bacteria to divide.xˉ=α2=zα2=Margin of Error: E=We are 89% confident that this species of bacteria takes, on average, between ___hours and ___hours to divide.
Life-saving drug: Penicillin is produced by the Penicillin fungus, which is grown in a broth whose sugar content must be carefully controlled. Several samples of broth were taken on three successive days, and the amount of dissolved sugars, in milligrams per milliliter, was measured on each sample. The results were as follows. Day 1: 5.2 5.4 5.3 5.1 5.3 5.3 5.6 5.3 5.2 4.9 5.3 Day 2: 5.3 4.8 4.9 5.1 5.3 5.0 5.1 5.4 5.0 4.9 5.3 Day 3: 5.3 5.1 5.1 5.2 5.0 5.3 4.8 5.3 5.0 4.9 5.5 Send data to Excel Part: 0/2 Part 1 of 2 (a) Construct an ANOVA table. Round your answers to four decimal places as needed. One-way ANOVA: Sugar Concentration Source DF MS F Days Error Total
A researcher wants to know how long it takes, on average, for a certain species of bacteria to divide. She watches 16 cells through a microscope and times how long it takes them to divide. She obtains the following data, in hours: 8, 6.6, 9, 7.4, 6.1, 8.9, 10, 8.1, 8.4, 8.3, 8.3, 8.4, 4.9, 7.8, 7.4, 6.3 Assuming the population standard deviation is o = average time it takes this species of bacteria to divide. 1.1, construct a 97% confidence interval for the Margin of Error: E We are 97% confident that this species of bacteria takes, on average, between hours and hours to divide.
The quantity of dissolved oxygen is a measure of water pollution in lakes, rivers, and streams. Water samples were taken at four different locations in a river in an effort to determine if water pollution varied from location to location. Location I was 500 meters above an industrial plant water discharge point and near the shore. Location II was 200 meters above the discharge point and in midstream. Location III was 50 meters downstream from the discharge point and near the shore. Location IV was 200 meters downstream from the discharge point and in midstream. The following table shows the results. Lower dissolved oxygen readings mean more pollution. Because of the difficulty in getting midstream samples, ecology students collecting the data had fewer of these samples. Use a 5% level of significance. Do we reject or not reject the claim that the quantity of dissolved oxygen does not vary from one location to another? Location I Location II Location III Location IV 7.6 6.3 4.6…