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A GROUP OF STUDENT GOT THE FOLLOWING SCORES IN A TEST 6, 9, 12, 15, 18, AND 21. CONSIDER SAMPLE SIZE 3 THAT CAN BE DRAWN FROM THIS POPULATION.
The tallest living man at one time had a height of 231 cm. The shortest living man at that time had a height of 142.1 cm. Heights of men at that time had a mean of 172.16 cm and a standard deviation of 5.22 cm. Which of these two men had the height that was more extreme?
express the null hypothesis and alternative hypothesis in notation form of the scenario " it is believe that we that the mean yearly salary of professors in the philippines is 480,000.00 p pesos. a random sample of 65 professors revealed a mean salary of 500,000.00 pesos. can it be concluded the the mean salary is greater than 480,000.00 pesos? give the solution
between 0 and 0.47
Defects in a certain wire occur at the rate of one per 10 meter. Assume the defects have a Poisson distribution. What is the probability that: (a) a 20-meter wire has no defects? (b) a 20-meter wire has at most 2 defects?
Question.1:
An adult has on average 5.4 liters of blood. Assume the variable is normally distributed and has a standard deviation of 0.4. Find the percentage of people who have less than 5.7 litres of blood in their system.
Question.2 :
The average annual salary for all U.S teachers is $ 48,675. Assume that the distribution is normal and the standard deviation is $ 4995. Find the probability that a randomly selected teacher earns:
(i) Between $36000 and $42000 a year.
(ii) More than 40,000 a year.
Question.3:
The average daily jail population in the U.S is 706,242. If the distribution is normal and the standard deviation is 52,145, find the probability that on a randomly selected day the jail population is:
(i) Greater than 750,000
(ii) More than 600,000 but not more than 700,000
1) A random sample is drawn from a population of known standard deviation 10. Construct a 90% confidence interval for the population mean based on the information given n = 36 𝑥 = 100
The table below presented the ranks which were assigned by three judges to the works
of ten articles:
S.no. 1 2 3 4 5 6 7 8 9 10
Judge A 5 7 4 1 3 2 9 8 10 6
Judge B 4 8 3 2 7 1 10 6 9 5
Judge C 8 6 2 10 4 1 3 9 5 7
Compute the spearman’s rank order correlation coefficients for each pair of ranking and
decide:
a) Which two judges are most alike in their opinion about these artists?
b) Which two judges are different in their opinion about these artists?
1. The economist wants to compare the hourly rates charged by automobile mechanics in two major cities in Metro Manila. He randomly selects auto repair facilities from both cities and records their hourly rates ( in pesos) The data is as follows:
City of Manila
190
140
130
212
205
168
135
180
Quezon City
179
150
120
156
175
160
180
200
Is there sufficient evidence to indicate a difference in the mean hourly rates from these two cities, at ? (20 points)
1. The Mathematical Anxiety Rating Scale (MARS) measures an individual level of mathematical anxiety on a scale from 25 (no anxiety) to 100 (highest anxiety). A group of researcher administered the MARS to 50 students. One of the objectives of the study was to determine if there is a difference between levels of mathematical anxiety experienced by male and female computer science students.
Gender
s
n
Male
34.8
10.6
24
Female
47.2
12.4
26
At level of significance, is there evidence of a difference in the mean mathematical anxiety experienced by male and female computer science students? (10 points)
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#340153 on Dec 2023