M6 Exam

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Portage Learning *

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110

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Statistics

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Jan 9, 2024

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M6: Exam - Requires Respondus LockDown Browser + Webcam Due No due date Points 50 Questions 5 Time Limit 90 Minutes Requires Respondus LockDown Browser Instructions You may only have the following items when taking an exam: computer, 1-2 pieces of blank scratch paper, a pen/pencil, and a calculator. You may ONLY use the equation sheets that are provided WITHIN the exam. The use of printed versions will be considered a violation of the Academic Integrity Policy. Attempt History Attempt Time Score LATEST Attempt 1 86 minutes 45 out of 50 Score for this quiz: 45 out of 50 Submitted Aug 28 at 6:09pm This attempt took 86 minutes. Question 1 10 /10 pts You may find the following files helpful throughout the exam: Statistics_Equation_Sheet = table.pdf)
A new drug is introduced that is supposed to reduce fevers. Tests are done with the drug. The drug is given to 60 people who have fevers. It is found that the mean time that it takes for the fever to get back to normal for this test group is 350 minutes with a standard deviation of 90 minutes. Find the 80% confidence interval for the mean time that the drug will take to reduce all fevers for all people. Answer the following questions: 1. Multiple choice: Which equation would you use to solve this problem? S S B ¥—fl——= < S X+t— va F Vn C - s N—n< < 7+ s |[N—n X Z=—— X+ 2= JndN=1 > F % JN=1 1_ D P+ z p(1-p) n 2. List the values you would insert into that equation. 3. State the final answer to the problem Your Answer: 1.A 2. n=60, s=90, |z = 350 3.
Table shows z=1.28 ~ {98 90 90 350 12878 < 1 <350 +1.28-% 335.13 < p < 364.87 The drug will ultimately sold to a very large number of people. So, we may assume a very large population. Since the sample size is greater than 30, we should use Case 1: Very large population and very large sample size. We are given the sample mean and sample standard deviation. So, we have n=60 x =350 s=90 We will use these values in the equation: _ s _ s A X—Z2— << x+Z2— Vn Vn For a 80% confidence level, we look at table 6.1 and find that z = 1.28. When we substitute these values into our equation, we get: 90 90 350 - 128 < u< 350+ 1.28 V60 V60 When we do the arithmetic on the right and left hand side, we get: 335.13 < < 364.87. Question 2 10/ 10 pts
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You may find the following files helpful throughout the exam: Statistics_Equation_Sheet = (https://previous.nursingabc.com/upload/images/Help_file picture/Statistics Standard Normal Table & (https://previous.nursingabc.com/upload/images/Help_file picture/standardn T Table 5 (https://previous.nursingabc.com/upload/images/Help_file_picture/t- table.pdf) A certain school has 275 male students. The school nurse would like to know how many calories the male students consume per day. So, she samples 40 male students and finds that the mean calorie consumption of the 40 is 2670 calories per day with a standard deviation of 330 calories per day. Find the 95 % confidence interval for mean calorie intake of all the male students in the school. Answer the following questions: 1. Multiple choice: Which equation would you use to solve this problem? s B S A F—RreiCig& PR vn vn B X ts < '-I-ts X —t=—= < X n K Vn s N-—-n S N~—-n C. ¥—-z— < u< ¥x+z— Vi N - nJN-1 1_ D l,j:zp( p)
2. List the values you would insert into that equation. 3. State the final answer to the problem Your Answer: 1.C 2. N=275, n=40, s=330, |7 = 2670 3. For 95% confidence z=1.960 |267O 1.960-2% \/ 227755 410 < < 2670 + 1.960-35C \/ 227755__410 12575.3 < pu < 2764.7| The population is finite. So, we should use Case 3: Finite population. Use: In the statement of the problem, we are given: N=275 n=40 x =2670 s=330 For a 95% confidence level, table 6.1 gives z=1.96 e IR ol i R 2670 + 1.96 o i P a0 J275-1 O F P Va0 J 2751 2575.29 < u< 2764.71
Question 3 9/10 pts You may find the following files helpful throughout the exam: Statistics_Equation_Sheet = table.pdf) In a large city, the city supervisor wants to find the average number of aluminum cans that each family recycles per month. So, she surveys 21 families and finds that these 21 families recycle an average of 160 cans per month with a standard deviation of 45 cans per month. Find the 90 % confidence interval for the mean number of cans that all of the families in the city recycle per month. Answer the following questions: 1. Multiple choice: Which equation would you use to solve this problem? S S A BB PR vn Vn P o o e B ¥x—t— < X va F Vn C - s N—n< < 7+ s |[N—n X Z = X+t Z=— JndN=1 > F % JN=1 1-— D l,j:zp( p)
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2. List the values you would insert into that equation. 3. State the final answer to the problem Your Answer: 1.B 2. |z = 160}, s=160, n=21 3. 45 160 + 1'725fi 176.94 < p < 143.06
We have a very large population but the sample size is small. We should use Case 2: Very large population and small sample size. Use S S B x+t— Vn When we look at the student’s t chart for 90% confidence (the 90% is found along the bottom row of the chart) and df=21- 1=20 (the 20 is found in the leftmost column) we find that t=1.725. So, 160 + 1.725 2 SR 160116.94 143.06<u<176.94 Careful. State the Cl as a lower limit to an upper limit. Question 4 8 /10 pts You may find the following files helpful throughout the exam: Statistics_Equation_Sheet & (https://iprevious.nursingabc.com/upload/images/Help_file picture/Statistics Standard Normal Table & (https://previous.nursingabc.com/upload/images/Help_file_ picture/standardn T Table (https://iprevious.nursingabc.com/upload/images/Help_file picture/t- table.pdf)
A doctor has a large number of patients and would like to know if his patients prefer to fill in forms electronically or prefer to hand write their forms. So, he surveys 110 patients and finds that 52 prefer electronic forms while 58 prefer hand written forms. Find the 90% confidence limit for the proportion of all patients that prefer the electronic forms. Answer the following questions: 1. Multiple choice: Which equation would you use to solve this problem? s B s A F—RriCig& PR vn Vn B o £+ t— " ) Cy—] <X -_— va F Vn C - s N—n< < 7+ s |[N—n X Z=—— X+ 2= JndN=1 > F % JN=1 1_ D l,j:zp( p) 2. List the values you would insert into that equation. 3. State the final answer to the problem Your Answer: 1.D 2. N=110, sample proportion x/n=52/110=.473, z multiplier .05/2=1.959 3. 52/110=.483
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483 + 1645,/ 2049 483 + 078 405 to .561 We have an infinite population we will use Case 1: D. Pizp_(t_p_) ,‘ n The proportion that prefer the electronic forms is 52/110 =.47 so we set P=.47. As we mentioned previously, we estimate p by P. So, p=.47. A total of 110 patients were surveyed, so n=110. Based on a confidence limit of 90 %, we find in table 6.1 that z=1.645. Now, we can substitute all of these values into our equation: A47(1 - 47) 47 + 1.645] 110 47 £ .078 So, the 90% confidence limit is: .39 to .548 Question 5 8/10 pts You may find the following files helpful throughout the exam: Statistics_Equation_Sheet =
T Table &> table.pdf) A shipment of 350 new blood pressure monitors have arrived. Tests are done on 60 of the new monitors and it is found that 8 of the 60 give incorrect blood pressure readings. Find the 80% confidence interval for the proportion of all the monitors that give incorrect readings. Answer the following questions: 1. Multiple choice: Which equation would you use to solve this problem? S S A F—RreiCig& PR vn Vn B. ¥ o e I X o —] < X e va F Vn C - s N—n< < 7+ s |[N—n X Z = X+t Z=— JndN=1 > F % JN=1 1-— D l,j:zp( p) 2. List the values you would insert into that equation. 3. State the final answer to the problem Your Answer: 1. E
2. N=350, n=60, x=8 3. 8/60=.133 153+ 1282, [T [ 1.33 +.01) 1.32 to 1.34 We have a finite population, so we will use Case 2: The proportion of the sample that are defective is 8/60 = .1333 so we set P=.1333. As we mentioned previously, we estimate p by P. So, p=.1333. A total of 60 monitors were tested, so n=60. Based on a confidence limit of 80 %, we find in table 6.1 that z=1.28. The total number of monitors is 350, so set N=350. Now, we can substitute all of these values into our equation: .1333(1 —.1333) jzso 60 .1333 + 1.28J 50 350 1 13331 .0512 So the proportion of the total that are defective is between .0821 and .1845. Careful with the decimal value of p.
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Quiz Score: 45 out of 50