Assume that you are interested in testing that the probability of an event is H0: p = 0.25 versus
H1: p 0.25 using the test for proportions. Let the proportion of the event in a sample of size n =
240 be equal to 0.275.
The p-value for testing
The principles of estimating parameters.
Estimating the expectation.
Estimating the variance and the standard deviation.
Estimating other parameters.
The bias, variance, and mean-square error of an estimator.
Comparing between estimators.
First of all, we have to know what a statistic is before we can even talk about
it. A statistic is a numerical characteristic of the data, which estimates the
corresponding population parameter (Yakir, 2011, p.13). It is important to note
the difference b
Confidence interval and confidence level
Confidence interval for the mean, proportion, Normal mean and variance
The t and the chi-square distributions
Selecting the sample size
Define confidence intervals and confidence levels
Formulate statistical hypothesis for testing.
Identify the test statistic and the rejection region.
Identify the two types of error associated with the testing of hypothesis.
Compute the p-value.
Test hypotheses on the expectation and
The data set "cars.csv" was introduced in Chapter 9 of the book. This data set contains
information on various models of cars. Download this file to your computer and store it in the
working directory of R. The file can be downloaded from this
A rectangular body is square if the length is equal to the width. Consider, for each car, the
difference between the length and the width of the body. Call this variable X. If cars tend to be
square then we would expect the expectation of this
It is assumed, when constructing the t-test, that the measurements are Normally distributed. In
this exercise we examine the robustness of the test to divergence from the assumption. You are
required to compute the significance level of a one-
A rectangular body is square if the length is equal to the width. In the quizzes of Unit 1 the
possibility of testing that cars are square on the basis of the information in the data set "cars.csv"
was explored. In this exercise we re-do the t
Assume that you are interested in testing H0: E(X) = 1 versus H1: E(X) 1 using the t-test. Let
the sample average, of a sample of size n = 64, be equal to x = 0.89 and the sample standard
deviation be equal to s = 3.3.
The absolute value of the
Running heading: POINT ESTIMATION
In this assignment we consider data that examines the effect of two soporific drugs, drugs that
induce sleep. These two drugs were tested on a group of 10 patients. For each of the patients the
increase in hours of sleep
1. Apply the function "plot" to the formula that relates the response "frequency" to the explanatory variable
"march2007" in order to produce the two box-plots of the response. Redo the plotting with "frequency" replaced
by "log(frequency)". The dis