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statistics_Module_6_test_exam_, Exams of Mathematical Statistics

Walden UniversityMathematical Statistics

statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_statistics_Module_6_test_exam_

Typology: Exams

2023/2024

Available from 05/22/2024

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Question 1
10 / 10 pts
You may find the following files helpful throughout the exam:!
Statistics_Equation_Sheet
!(Links to an external site.)
Standard Normal Table
!(Links to an external site.)
T Table
!(Links to an external site.)
!
A new drug is introduced that is supposed to reduce fevers. Tests
are done with the drug. The drug is given to 55 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 380 minutes with a
standard deviation of 85 minutes. Find the 90% 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?
A.!
B.
C.!
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Question 1

10 / 10 pts

You may find the following files helpful throughout the exam: Statistics_Equation_Sheet (Links to an external site.) Standard Normal Table (Links to an external site.) T Table (Links to an external site.) A new drug is introduced that is supposed to reduce fevers. Tests are done with the drug. The drug is given to 55 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 380 minutes with a standard deviation of 85 minutes. Find the 90% 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? A. B. C.

D.

E.

  1. List the values you would insert into that equation.
  2. State the final answer to the problem Your Answer: a)
  3. n= 55 x- = 380 s= 85. z= 1. 380-1. 85 55 < μ < 380+1. 85 55 361.15< μ < 398.

A certain school has 415 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 2610 calories per day with a standard deviation of 560 calories per day. Find the 80 % 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? A. B. C. D. E.
  2. List the values you would insert into that equation.
  1. State the final answer to the problem Your Answer: 1). C..
  1. N= 415 n=40 x- = 2610 s= 560 z=1.
  2. 2610-108.03 < μ < 2610+ 108. 2501.97 < μ < 2718. The population is finite. So, we should use Case 3: Finite population. Use: C. In the statement of the problem, we are given: N=415 n=40 x =2610 s=560 ̅ For a 80% confidence level, table 6.1 gives z=1.

B.

C.

D.

E.

  1. List the values you would insert into that equation.
  2. State the final answer to the problem Your Answer: a).
  1. df=1.833 s=26 n=18 x- = 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

B.

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=18-1=17 (the 17 is found in the leftmost column) we find that t=1.740. So, 140±10. 129.34<μ<150.

Question 4

6 / 10 pts

You may find the following files helpful throughout the exam: Statistics_Equation_Sheet (Links to an external site.) Standard Normal Table (Links to an external site.) T Table (Links to an external site.) 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. .4417 to .5983 is the 90% confident We have an infinite population we will use Case 1: D. The proportion that prefer the electronic forms is 52/110 =. 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: .47 ±. So, the 90% confidence limit is: .39 to.

Question 5

6 / 10 pts

You may find the following files helpful throughout the exam: Statistics_Equation_Sheet (Links to an external site.) Standard Normal Table (Links to an external site.) T Table

(Links to an external site.) A shipment of 375 new blood pressure monitors have arrived. Tests are done on 65 of the new monitors and it is found that 12 of the 65 give incorrect blood pressure readings. Find the 95% 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? A. B. C. D. E.
  2. List the values you would insert into that equation.