Premium P X Gradebook x MywcC MYWCC BIS Worksheet Submissions - 14 X |вь Нуро /pid-2597646-dt-content-rid-20286129_1/courses/14519_2201HY/Hypothesis%20Testing%20%28T-Test%29.pdf 2. The Environmental Protection Agency (EPA) has established an air quality standard for lead to be 1.5 µg/m³. Listed below are measured amounts of lead in the air at Building 5 of the World Trade Center site on different days immediately after the Sept 11 attack. Assume that the population is normally distributed. Use a 1% significance level to test the claim that the sample is from a population with a mean lead amount greater than the EPA standard of 1.5 ug/m³. Sample: 5.40, 1.10, 0.42, 0.73, 0.48, 1.10 a) Identify and/or compute the following using your calculator. Round the sample mean and the sample standard deviation to 3 decimal places: n = Но b) Symbolically identify: Ho: НА" Circle the correct test for this problem: Right-tailed test Left-tailed test Two-tailed test c) Find the test statistic: (1-x) т- d) Sketch and shade the curve. Find the p-value. P - value = How does your p-value compare to a in part (a)? Cirele the correcct conclusion REJECT THE NULL HY POTHESIS DO NOT REJECT IHIE NULL IIY POTHESIS um P X Gradebook | MYWCC BI Worksheet Submissions - 14 X 2597646-dt-content-rid-20286129_1/courses/14519 2201HY/Hypothesis%20Testing%20%28T-Test%29.pdf Circle the correct test for this problem: Right-tailed test Left-tailed test Two-tailed test c) Find the test statistic: (x-4) T 3= d) Sketch and shade the curve. Find the p-value. P- value How does your p-value compare to a in part (a)? Circle the correct conclusion: REJECT THE NULL IYPOTHESIS DO NOT REJECT TIHE NULL HYPOTHESIS c) State your final conclusion in regards to this particular problem.
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.
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