Search & Filtering
Determine the given and compute the test statistic of the problem below using Central Limit Theorem, and construct the rejection region for each.
A company claimed that their N95 face mask has a mean filtration efficiency rate of 95%. A group of student researcher wanted to verify this claim. They bought and tested 40 of their N95 face masks. They found out that the average filtration efficiency rate of these face mask was 90% with a standard deviation of 4%. Test the claim at 5% level of significance and assume that the population is approximately normally distributed.
The probabilities that a surgeon operates on 3, 4, 5, 6, or 7 patients in any one day are 0.15, 0.20,0.25,0.20, 0.20, respectively.
43.) What is the mean that a surgeon operates on patients in any one day?
a. 5.0 b. 5.1 c. 5.2 d. 5.3 e. 5.4
44.) What is the variance of the given problem?
a. 1.76 b.1.77 c. 1.78 d. 1.79 e. 1.80
45.) What is the standard deviation of the given problem?
a. 1.33 b. 1.35 c. 1.37 d. 1.36 e. 1.34
State the null and alternative hypothesis for each statement.
1. The average age of bus drivers in metro manila is 39 years old.
Ho : _______________
Ha: _______________
A force of magnitude 100N is directed westward and a second force of magnitude 200N is directed 60 degrees north of east. Find the magnitude and direction of the third force that when added to the first 2 forces gives a resultant whose magnitude is 150N and points 30 degrees north of east?
Using three dimensional array, create a program that will enter table, row, and column together with the total number of Elements then display the Biggest number, Smallest number, and Second to the biggest number.
Sample input and output:
Input:
Enter number of Tables: 2
Enter number of Rows: 2
Enter number of Columns: 2
Enter 8 number of Elements
2
6
34
76
34
98
56
45
The biggest number among them is: 98
The smallest number among them is: 2
The second to the biggest number is: 76
A heat pump is used for heating a building. It supplies 50,000 kJ/hr of heat to the building at 20°C. The outside air is at -5°C. Determine; a) the heat taken from outside air per hour, and b) the horsepower of motor required
Show that if 5/3< 2x< 11/3, then x∈{y∈R such that |y- 4/3| < 1/2}.
Check whether the sequence (an), where
an = 1/ (n+1) + 1/(n+2) +....+1/(2n) is convergent or not
Create any program using python programming language. Use at least 10 Python built-in functions. Submit the program file of your program ( .py) for those who uses desktop or laptop in code and screenshot of the code and output for those who uses phones to code.
Using three dimensional array, create a program that will enter table, row, and column together with the total number of Elements then display the Biggest number, Smallest number, and Second to the biggest number.
Sample input and output:
Input:
Enter number of Tables: 2
Enter number of Rows: 2
Enter number of Columns: 2
Enter 8 number of Elements
2
6
34
76
34
98
56
45
The biggest number among them is: 98
The smallest number among them is: 2
The second to the biggest number is: 76
