Based on this information, answer the questions below. Carry your intermediate computations to at least four deci indicated. (If necessary, consult a list of formulas.) н. : и is What are the null and alternative hypotheses that the researcher should use for the test? н. : р is Assuming that the actual value of u is 126 mm Hg, what is the probability that the researcher rejects the null hypothesis? Round your response to at least two decimal places. What is the probability that the researcher rejects the null hypothesis when, in fact, it is true? Round your response to at least two decimal places. Suppose that the researcher decides to perform another statistical test using the same population, the same null and alternative hypotheses, and the same sample size, The probability of committing a Type II error in the second test is greater but for this second test the researcher uses a The probability of committing a Type II error in the second significance level of 0.01 instead of a significance level of 0.05. Assuming that the actual value of u is 126 mm Hg, how does the probability that the researcher commits a Type II error in this second test compare to the probability that the researcher commits a Type II error in the original test? test is less The probabilities of committing a Type II error are equal
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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,
, of CEOs of major corporations is less than
mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test and measures the systolic blood pressures of a random sample of
CEOs of major corporations.
Suppose that the population of systolic blood pressures among CEOs of major corporations has a standard deviation of
mm Hg and that the researcher performs his hypothesis test using the
level of significance.
Based on this information, answer the questions below.
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