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The number of accidents in a production facility has a Poisson distribution with a mean of 2.8 per month. For a given month, what is the probability that there will be more than three (3) accidents?
A researcher is interested in estimating the average monthly salary of bank managers in NCR. He wants to be 90% confident that his estimate is correct. If the standard deviation is 8,500 pesos, how large a sample is needed te get the desired information and to be accurate within 1,150 pesos?
A university conducted a tracer study to track its graduates for the past five years. One of the variables included in the study questionnaire asks for data on the monthly salaries of the graduates. A sample of 90 graduates yielded a sample mean equal to Php37 000. Construct a 90% confidence interval for the population mean monthly salary if it is known that the population standard deviation is Php9 470. Interpret the result (Write the interpretation in your solution).
A. 37,000 < μ < 39,000
B. 35,350.01 < μ < 38,640.08
C. 35,357.92 < μ < 38,642.08
D. 37,742.92 < μ < 39,875.01
Given a normal distribution with a mean of 200 and the deviation is10. Find the area above 188.
If the sample size n=15, level of significance α=0.05, and a test design of two-tailed test, compute the critical t-value or the rejection region.
PLEASE ANSWER NOW CHOOSE THE CORRECT LETTER
A. 1.7163
B. 1.7530
C. 2.1314
D. 2.1448
If the sample size n=15, level of significance α=0.05, and a test design of two-tailed test, compute the critical t-value or the rejection region.
(SOLUTION)
PLEASE ANSWER MY QUESTION QUICKLY
DEADLINE : 04/13/2022 11:00 PM
A researcher wants to compare the performance of students living with their parents and
the performance of these students whose parents are working. Random samples were
taken from two normally distributed groups of population. 25 students who are living
with their parents posted an average grade of 91.27 with standard deviation of 3,
whereas the 20 randomly selected students whose parents are working abroad have an
average grade of 88.72 with standard deviation of 3.4. Test whether there is a significant
difference between the two groups of students at 0.05 level of significance.
State the null and alternative hypotheses.
Identify if it is one-tailed test or two-tailed test.
Find its critical value and identify the rejection region.
Compute the pooled variance.
Compute the test statistic.
State the decision and conclusion.
the number of motorcycles sold annually by salespeople is normally distributed with a standard deviation of 15. A random sample of 300 salesperson taken and the mean number of motorcycles sold annually was found to be 75. find the 99% confidence interval estimate of the population mean
Fujiwara High has 5, 000 Grade 11 students. A researcher wishes to use the
Grade 10 students in her study. Use the Table of Random Numbers to identify the students to
be included in the sample 𝑛 = 25. (*Use the Table of Random Numbers)
https://www.google.com/imgres?imgurl=https%3A%2F%2Fmathbitsnotebook.com%2FAlgebra2%2FStatistics%2Frandom%2520table.png&imgrefurl=https%3A%2F%2Fmathbitsnotebook.com%2FAlgebra2%2FStatistics%2FSTrandomtable.html&tbnid=BylwELYE14EXvM&vet=1&docid=DkW6M7dsUAlSEM&w=748&h=664&source=sh%2Fx%2Fim
*the link to the table of random numbers
Question 4 [25]
The amount of time devoted to preparing for a statistics examination by students is a normally
distributed random variable with a mean of 17 hours and a standard deviation of 5 hours.
Required:
a) What is the amount of time below which only 15% of all students spend studying?
b) What is the amount of time above which only one third of all students spend studying?
c) What is the probability that a student spends between 16 and 20 hours studying?
d) What is the probability that a student spends at least 15 hours studying?
e) What is the probability that a student spends at most 18 hours studying?
