Current Attempt in ProgressA manufacturer of electroluminescent lamps knows that the amount of luminescent ink deposited on one of its products isnormally distributed with a mean of 1.2 grams and a standard deviation of 0.03 grams. Any lamp with less than 1.14 grams ofluminescent ink will fail to meet customer's specifications. A random sample of 22 lamps is collected and the mass ofluminescent ink on each is measured.Round your answers to three decimal places (e.g. 98.765).(a) What is the probability that at least 1 lamp fails to meet specifications?(b) What is the probability that 5 lamps or fewer fail to meet specifications?(c) What is the probability that all lamps conform to specifications?i(d) Why is the joint probability distribution of the 25 lamps not needed to answer the previous questions?O The lamps are normally and independently distributed. Therefore, the probabilities can be summarized.O The lamps are normally and independently distributed. Therefore, the probabilities can be multiplied.O The lamps are not independently distributed. Therefore, the probabilities can be summarized.O The lamps are not independently distributed. Therefore, the probabilities can be multiplied.

Mean Standard deviation Sample size Lamp with less than 1.14 gms of luminescent link will fail to…

Answered: A manufacturer of electroluminescent…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean u, the actual temperature of the medium, and standard deviation o. n USE SALT What would the value of o have to be to ensure that 95% of all readings are within 0.8° of µ? (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.
The two data sets in the table below are dependent random samples. The population of (x - y) differences is approximately normally distributed. A claim is made that the mean difference (x - y) is less than 29.3. X y DII For each part below, enter only a numeric value in the answer box. For example, do not type "z =" or "t=" before your answers. Round each of your answers to 3 places after the decimal point. (a) Calculate the value of the test statistic used in this test. Test statistic's value = -2.760 61 71 58 48 38 41 (b) Use your calculator to find the P-value of this test. P-value $ 4 44 48 66 43 32 30 29 33 (c) Use your calculator to find the critical value(s) used to test this claim at the 0.07 significance level. If there are two critical values, then list them both with a comma between them. Critical value(s) = -1.700 (d) What is the correct conclusion of this hypothesis test at the 0.07 significance level? O There is sufficient evidence to support the claim that the mean…
In a particular statistics exam, the 10th percentile of final exam score is 59, and the 90th percentile of final exam score is 93. A histogram of the scores approximately follows the normal curve. What is the approximate standard deviation of the final exam scores? Hints: What is the z value in the normal table that gives you closest to 80% of the area between -z and z? Now what does that tell you about the number of SDs in between 59 inches and 93 inches? You might find it helpful to draw a picture of the normal curve with original units and standard units. 13.1 26.2 17.2 6.5
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.5 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 66 samples is 7.7 ppm with a standard deviation of 1.0 Does the data support the claim at the 0.025 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. Specify if the test is one-tailed or two-tailed. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places. Make the decision to reject or fail to reject the null hypothesis.
Answer the exercise of the image. (In the other image are the final answers, this to verify the final answer).
Assume for a moment that the distribution of weight of adult is approximately normal with a mean of 179.8 lb and a standard deviation of 93.0 lb find the probably that a randomly selected adult would have a weight at most 272.8 lb A) 0.9413 B) 0.2583 C) 0.8413 D) 0.1583

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