A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOs) of major corporations. He believes that the mean systolic blood pressure, µ, of CEOs of major corporations is different from 136 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistics test. He measures the systolic blood pressures of a random sample of CEOs of major corporations and finds the mean of the sample to be 144 mm Hg and the standard deviation of the sample to be 20 mm Hg. Based on this information, answer the questions below. What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test? H0: µ is ? ________ ? ______ H1: µ is ? ______ ? _______ In the context of the test, what is a Type I error? A Type I error is ? ______ the hypothesis that µ is ? _________ ? _______ When, in fact, µ is ? _________ ? _______. Suppose that the researcher decides to reject the null hypothesis. What sort of error might he be making? _______
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOs) of major corporations. He believes that the
Based on this information, answer the questions below.
What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test?
H0: µ is ? ________ ? ______
H1: µ is ? ______ ? _______
In the context of the test, what is a Type I error?
A Type I error is ? ______ the hypothesis that µ is ? _________ ? _______
When, in fact, µ is ? _________ ? _______.
Suppose that the researcher decides to reject the null hypothesis. What sort of error might he be making? _______
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