# Instructions: For full credit, you must clearly illustrate each problem on the graph provided, with labels...

###### Question:

Instructions: For full credit, you must clearly illustrate each problem on the graph provided, with labels and using terminology similar to that used in class: F(T), F(Z), a, P(X>value), P(X=value), etc. Clearly show and label the mean, std dev, and the significant values and areas needed to support your answer. Show any computations necessary to support your answer in the space provided. Print clearly. Provide answers to 3-decimal place accuracy (1-decimal for percentages). Note: you must show interpolation for problem 4; on other problems, round to nearest value on distribution table. Hint: answers to 1 & 2 and 3 & 4 should be similar but not exactly equal. The lifespan of a new LED bulb is being studied. Testing has determined the lifespan is approximately normally distributed with an average of 5000 hours and a standard deviation of 75 hours.
1. Compute the 85% lifespan (that is, the 85 percentile or P(x < X85%) = 0.85) using the normal distribution and the provided parameters. Label the provided distribution with relevant information Ans: _(4 pts) "normal" 2. Compute the 85% lifespan using the "t" distribution for a sample size of 9 along with the provided parameters. Label the provided distribution with relevant information. Ans: (4 pts) 3. Using the normal distribution, what percentage of bulbs are expected to have a lifespan above 4900 hours? normal Ans: (4 pts)

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