1/courses/14519_2201HY/Two%20Samples%20T-Te: Fit to page Page view A Read aloud 人 Adc 1. In crash tests at 5 miles per hour, the mean bumper repair cost for 14 randomly selected small cars is $473 with a standard deviation of $190. In similar tests of 23 randomly selected midsize cars, the mean bumper repair cost is $741 with a standard deviation of $205. At a 10% significance level, can you conclude that the mean bumper repair cost is less for small cars than it is for midsize cars? Assume that both populations are normally distributed, but the population standard deviations are not equal to each other. a) Identify the following: a = x.3= X2 = b) Symbolically identify: Ho: На Identify the correct test for this problem: Right-tailed test Left-tailed test Two-tailed test Identify the correct test for this problem: Pooled t-test Non-pooled t-test c) Use your calculator to identify the following items: Test Statistic p-value = df = %3D d) How does your p-value compare to alpha? Identify the correct conclusion: REJECT H, DO NOT REJECT H, e) State your final conclusion in regards to this particular problem. 2. A random sample of 17 residents of Delaware County in Pennsylvania has a mean annual income of S42,600 and a standard deviation of S7800. In Greene County in Pennsylvania, a random sample of 18 residents has a mean annual income of S41,800 and a standard deviation of $7375. Assume both populations are normally distributed and the population standard deviation are approximately equal to each other. X1 a) Identify the following: a = b) Find the 95% confidence interval for the difference of the means of the two populations. c) Identify the point estimate and the margin of error. d) Graph the confidence interval. e) Based on the confidence interval that you found, can you definitively conclude that u, > uz: A
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.
I'm having difficulties with question 1, parts d and e. I will attach what I've done so far
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