A production process manufactures electronic components with timing signals whose duration follows a
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- Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 11 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with ? = 0.22 gram.arrow_forwardSuppose x has a distribution with a mean of 13.9 and a standard deviation of 2.1. Random samples of size n=49 are drawn. What would be the mean and standard deviation of the x̄ distribution?arrow_forward1. Rate data often follow a lognormal distribution. Average power usage (dB per hour) for a particular company is studied and is known to have a lognormal distribution with parameters μ = 4 and σ = 2. a. What is the probability that the company uses more than 270 dB during any particular hour? b. What is the mean power usage (average dB per hour)? What is the variance?arrow_forward
- A population has a mean µ = 70 and a standard deviation o = 28. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 261. P = (Simplify your answer.) = (Type an integer or decimal rounded to three decimal places as needed.)arrow_forwardOur environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.9 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 24 samples is 8.1 ppm with a variance of 0.25. Does the data support the claim at the 0.1 level? Assume the population distribution is approximately normal. Step 5 of 5: Make the decision to reject or fail to reject the null hypothesis.arrow_forwardYodelAir operates a charter jet service out of an airport in a secluded mountain ski resort. The chief safety officer for YodelAir uses a normal distribution with a mean of 631 m and a standard deviation of 120 m to model the takeoff distance of the company's X15 jets in wintry weather. Use this table or the ALEKS calculator to find the percentage of takeoff distances between 757 m and 913 m according to the model. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%).arrow_forward
- Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.6 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 14 samples is 4.9 ppm with a variance of 1.2 Does the data support the claim at the 0.01 level? Assume the population distribution is approximately normal. Step 2 of 5 : Find the value of the test statistic. Round your answer to three decimal places.arrow_forwardThe director of research and development is testing a new drug. She wants to know if there is evidence at the 0.02 level that the drug stays in the system for more than 312 minutes. For a sample of 69 patients, the mean time the drug stayed in the system was 319 minutes. Assume the variance is known to be 400. Step 2 of 5 : Enter the value of the z test statistic. Round your answer to two decimal places.arrow_forward
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