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The curve Of the normal probability distribution approaches and touches the X- axis
Range rule of thumb for maximum value and minimum value of 1 girl in 10 births
What is the mean value for a binomial experiment with 45 repetitions and a probability of success of 0.25?
x represents number of girls among 10 children. Use range rule of thumb to determine whether 1 girl in 10 births is significantly low. Give maximum and minimum
The mean age of 20 youth volunteers in a community project is 17.5 years with a standard deviation of 2 years. If the sample comes from an approximately normal distribution, what are the point and the interval estimates of the population mean? Use 99% confidence interval level.
A sample of 60 Grade 9 students ages was obtained to estimate the mean age of all Grade 9 students. x̄ = 1.5 years and the population standard deviation is 4.
i. What is the point estimate for u?
ii. Find the 95% confidence interval for u.
iii. What conclusion can you make based on each estimate?
Year (x) 2005 2006 2007 2008 2009 2010 2011 2012 Population (y, in million) 85.26 86.97 88.71 90.46 91.02 92.6 94.18 95.77 Source: tradingeconomic.com.philippines/population 1. Find the regression line that will predict the population for any given year.
An officer of a certain agency claims that the mean monthly income of a family that lives in a depressed area in a certain town is Php7.500.00. A group of researchers conducted a survey in that area and found out that the mean monthly income of 25 selected families is Php6,000.00 with a standard deviation of Php150.00. Test the claim that = Php7,500.00 at 0.01 level of significance
Suppose random variable
Y X X = +1 2
is made of
X .
(a) Show that
P Y( = = 4 0.1 )
[4]
(b) Complete the probability distribution table for
Y
[4]
y 2 3 4 5 6 7 8
P Y y ( = ) 0.01 0.04 0.10 0.25 0.24
(c) Find
P Y (1.5 3.5 )
Measurements of a sample of 6 weights were found to be 14⋅ 16,3 ⋅ 15,6 ⋅ 14,7 ⋅ 16,8 ⋅ 2
and 15 ⋅ 4 kilogram respectively. (i) Determine an unbiased estimate of the population
mean. (ii) Compare the sample standard deviation with the estimated population
standard deviation.
