Concept explainers
An experiment to compare the spreading rates of five different brands of yellow interior latex paint available in a particular area used 4 gallons (J = 4) of each paint. The sample average spreading rates (ft2/gal) for the five brands were
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Chapter 10 Solutions
Probability and Statistics for Engineering and the Sciences
- The quality control engineer at Palmer Industries is interested in estimating the tensile strength of steel wire based on its outside diameter and the amount of molybdenum in the steel. As an experiment, she selected 25 pieces of wire, measured the outside diameters, and determined the molybdenum content. Then she measured the tensile strength of each piece. The results of the first four are recorded in the table. Tensile Strength Outside Diameter Amount of Molybdenum Place (PSI ) Y (mm) X1 (Units) X2 A 11 0.3 6 B 9 0.2 5 C 16 0.4 8 D 12 0.3 7 Using a statistical software package, the QC engineer determined the multiple regression equation to be Y’=-0.5+20X1+1X2. a) Based on the equation, what is the estimated tensile strength of a steel wire having an outside diameter of .35 mm and 6.4 units of molybdenum? b) Interpret the value of b1 in the equation.arrow_forwardA college administrator wants to know if there is a significant difference between sexual orientation and level of family support for students at their college. The administrator takes a random sample of students who identify as gay/lesbian, bisexual or heterosexual/straight. There were 22 students sampled in each category. A measure of family support is given with higher scores indicating more family support. The means are as follows: Gay/lesbian Bisexual Heterosexual/Straight MG/L = 16 MBi = 17 MH/S = 22 Source SS df MS F Orientation 300 Error 2961 Total What is the F critical value?arrow_forwardA college administrator wants to know if there is a significant difference between sexual orientation and level of family support for students at their college. The administrator takes a random sample of students who identify as gay/lesbian, bisexual or heterosexual/straight. There were 22 students sampled in each category. A measure of family support is given with higher scores indicating more family support. The means are as follows: Gay/lesbian Bisexual Heterosexual/Straight MG/L = 16 MBi = 17 MH/S = 22 Source SS df MS F Orientation 300 Error 2961 Total What is the value of MS orientation?arrow_forward
- A college administrator wants to know if there is a significant difference between sexual orientation and level of family support for students at their college. The administrator takes a random sample of students who identify as gay/lesbian, bisexual or heterosexual/straight. There were 22 students sampled in each category. A measure of family support is given with higher scores indicating more family support. The means are as follows: Gay/lesbian Bisexual Heterosexual/Straight MG/L = 16 MBi = 17 MH/S = 22 Source SS df MS F Orientation 300 Error 2961 Total What is the value of df error?arrow_forwardA college administrator wants to know if there is a significant difference between sexual orientation and level of family support for students at their college. The administrator takes a random sample of students who identify as gay/lesbian, bisexual or heterosexual/straight. There were 22 students sampled in each category. A measure of family support is given with higher scores indicating more family support. The means are as follows: Gay/lesbian Bisexual Heterosexual/Straight MG/L = 16 MBi = 17 MH/S = 22 Source SS df MS F Orientation 300 Error 2961 Total What is the value of df orientation?arrow_forwardA college administrator wants to know if there is a significant difference between sexual orientation and level of family support for students at their college. The administrator takes a random sample of students who identify as gay/lesbian, bisexual or heterosexual/straight. There were 22 students sampled in each category. A measure of family support is given with higher scores indicating more family support. The means are as follows: Gay/lesbian Bisexual Heterosexual/Straight MG/L = 16 MBi = 17 MH/S = 22 Source SS df MS F Orientation 300 Error 2961 Total What is the value of MS error?arrow_forward
- Suppose the rate of misprints in the printed text from a given publisher is three misprints per one hundred pages of text. Find the mean and variance of number of misprints you would expect to see in ten pages of text in a book printed by this publisher.arrow_forwardresearchers wanted to determine if carpeted rooms contained more baterica than uncapted rooms. to determine the amount of bacterica in a room reseachers pumpled the air from the room over a petri dish at the rate of 1 cubic foot per minute for eight carpeted rooms and eight uncaprted rooms. colonies of baterica were alled to form in 16 petri dishes. the results shown below are the baterica counta per cubic foot mean standard deviation sample size capeted room 11.2 2.6774 8 uncapted room 9.7875 3.21 8 you want ti test using sigificance level of 0.01 whether the mean bactiria count is high for carpeted rooms than for uncapteed rooms. test whether the mean bacteria count is high for carpeted rooms thatn uncarpeted rooms. show all steps using the p value method. what is Ho and H1? what is the test statsic and p value? what conclusion can be made?arrow_forwardA firm produces bolts whose length x is normally distributed with a Me = 78.3 mm and a SD = 1.4mm. If any bolt longer than 80mm has to be discarded, what proportion of the firm's production will be lost?arrow_forward
- High cholesterol is one of the major risk factors for heart disease. A total cholesterol reading above 190 mg/dL is considered high.A physician is concerned that a patient may be at risk for high cholesterol. In order to accurately measure the patient's average cholesterol level, the physician instructs the patient to come into the physician's office once a week for 12 weeks for a blood lipid screening. The results of the 12 measurements are listed below. 189 186 199 197 190 186 185 200 200 200 185 190 Use the critical value method to test the hypothesis that the patient's cholesterol level is greater than 190 mg/dL, using a significance level of 10%. Assume that the distribution of all cholesterol measurements from this patient is approximately normally distributed. Determine the critical value(s) for this hypothesis test. Round the solution(s) to four decimal places. If more than one critical value exists, enter the solutions using a comma-separated list.Determine the test…arrow_forwardDiastolic blood pressure in adults is normally distributed with m = 80 mm Hg and s = 12 mm Hg. In a ran-dom sample of 300 adults, how many would be expected to have a diastolic blood pressure below 70 mm Hg?arrow_forwardA researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms. Full data set Carpeted Uncarpeted 14.214.2 15.415.4 1616 6.46.4 6.76.7 7.97.9 9.79.7 8.38.3 7.57.5 8.38.3 12.412.4 11.911.9 9.99.9 13.613.6 9.59.5 7.67.6 Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the alpha equals 0.05α=0.05 level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers. State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms. A. Upper H 0H0: mu 1 less than mu 2μ1<μ2 Upper H 1H1: mu 1 greater than mu 2μ1>μ2 B. Upper H 0H0: mu 1 equals mu 2μ1=μ2 Upper H 1H1: mu 1 greater than mu 2μ1>μ2 Your answer is…arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt