(unanswered)E. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is___ year(s)<μd<___ year(s). (unanswered)F. What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains (zero/ only negative numbers/ only positive numbers) (reject/ fail to reject.).
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.
*Note: Hello, I previously had this question answered, but due to policy only the first three parts could be answered. I have re-posted the question and labled which parts were answered, and which parts still need answered. Thank you.
(answered)B. Identify the test statistic.
t=-2.72
(answered)C. Identify the P-value.
P-value=0.012
(answered)D. What is the conclusion based on the hypothesis test?
Since the P-value is (greater than) the significance level, (fail to reject) the null hypothesis. There (is not) sufficient evidence to support the claim that actresses are generally younger when they won the award than actors.
(unanswered)E. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)?
The confidence interval is___ year(s)<μd<___ year(s).
(unanswered)F. What feature of the confidence interval leads to the same conclusion reached in part (a)?
Since the confidence interval contains (zero/ only negative numbers/ only positive numbers) (reject/ fail to reject.).
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