Problem 2: It is a common belief that women tend to live longer than men. Random samples from the death records for men and women in Montgomery County were taken and age at the time of death recorded. The average age of the 48 males was 69.33 years with a standard deviation of 8.49 years, while the average age of the 40 females was 72.7 years with a standard deviation of 6.43 years. a) Based on the sample, do we have some evidence to confirm this common belief? Explain. b) Assuming all conditions are met, construct a 90% confidence interval for the true difference between the two means. Use www.stapplet.com to do the calculations. c) Based on the confidence interval, do we have enough evidence to confirm that women live longer than men in this county? Explain.
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.
Can I get an explanation on problem 2 A-C
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