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Let π be any non-empty set and let π (π) be the set of all real valued functions on β. Define addition on π (π ) by (π + π)(π₯) = π (π₯) + π(π₯) and scalar multiplication by (πΌ β π )(π₯) = πΌπ (π₯). Check that (π (π), +, β ) is a vector space.
Consider the function g defined by:
g(x,y) = cos (xΟ "\u221ay" ) + 1/log3(x - y)
Determine β2g/βyβx
In a recent survey of 1159 students, 968 of them would like to recommend a website to their friends. Construct a 95% confidence interval to estimate the proportion of all students who would recommend the website to their friends.
Give your answers to three decimals:
_____,_____
A survey of 98 randomly selected students finds that they spend a mean of $435 per semester. Assume that the population standard deviation is $56 per month.
Confidence Interval: What is the 95% confidence interval to estimate the population mean? (Round your answers to two decimal places.)
______ < u < _______
For a normal distribution, assume the 'sample' standard deviation is 8. What is the maximal margin of error associated with a 99% confidence interval for the true population mean if n = 25. ?
(Round to two decimal places)
What is the t value with a 90% confidence interval for the true population mean if the sample size n = 27?
(Please keep three decimal places)
t value= ____________
Perpetrators of a crime who have been given the maximum sentence of 10 years are
believed bya fiscal to have been sentenced to no more than 7 years on the average.
random sample of 20of these crime offenders reveals a mean sentence of 7.6 years with a
standard deviation of 2.4 years. Is the fiscal correct in his suspicions at the 0.05 level of
significance?
Step:
1. State the null and alternative hypothesis
concerning the population mean, "\\mu" and the type of test to be used.
2.Specify the level of significance "\\alpha"
3.State the decision rule
4. Collect the data and perform calculations.
5. Make a statistical decision.
6.State the conclusion
Use the Lagrange multipliers to solve the following:
Maximize f(x,y,z) = 4x + 2y + z
subject to x2 + y + z2 = 1
1.1 On which very old object does a table of prime numbers appear?Β
A classroom teacher hypothesizes that using lecture method in teaching specific lesson is the same as teaching it using demonstration method in terms of students' learning. This means that students who were taught using the lecture method would perform similarly (say on a test) than those were taught using demonstration method. Formulate that null and alternative hypothesis in sentence and in symbol.
#339914 on Dec 2023