Construct a normal probability plot for RBOT time.RBOT (min)RBOT (min)400•400350350300300250250-1-11RBOT (min)RBOT (min)400400350350300300250250-1Comment.O Both TOST and RBOT time appear to come from nonnormal population.O Both TOST and RBOT time appear to come from normal populations.O TOST time appears normal, while RBOT time appears nonnormal.O RBOT time appears normal, while TOST time appears nonnormal.(e) Carry out a test of hypotheses to decide whether RBOT Time and TOST time are linearly related. (Use a = 0.05.)State the appropriate null and alternative hypotheses.O Hip = 0H:p>0O H,: p = 0Hip < 0O H,i p = 0H: p+0O H: p+0Hip = 0Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)P-value =State the conclusion in the problem context.O Reject H. The model is useful.O Reject H. The model is not useful.O Fail to reject H. The model is not useful.O Fail to reject H. The model is useful. The Turbine Oil Oxidation Test (TOST) and the Rotating Bomb Oxidation Test (RBOT) are two different procedures for evaluating the oxidation stability of steam turbine oils. An article reported the accompanying observations on x = TOST time (hr) and y = RBOT time (min) for 12 oil specimens.TOST420036003750367540502745RBOT370335375310350200TOST487044753450267537503275RBOT400370285230345290

1) Normal probability plot for RBOT (min) is given by option 2 (top-right). 2) Both TOST and RBOT…

Answered: Construct a normal probability plot for…

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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Benford's law, also known as the first‑digit law, represents a probability distribution of the leading significant digits of numerical values in a data set. A leading significant digit is the first occurring non‑zero integer in a number. For example, the leading significant digit in the number 127127 is 11. Let this leading significant digit be denoted ?x. Benford's law notes that the frequencies of ?x in many datasets are approximated by the probability distribution shown in the table. ?x 11 22 33 44 55 66 77 88 99 ?(?)P(x) 0.3010.301 0.1760.176 0.1250.125 0.0970.097 0.0790.079 0.0670.067 0.0580.058 0.0510.051 0.0460.046 Determine ?(?)E(X), the expected value of the leading significant digit of a randomly selected data value in a dataset that behaves according to Benford's law? Please give your answer to the nearest three decimal places. ?(?)E(X) = Select the statement that best describes the interpretation of the expected value of the Benford's law…
The Poisson probability distribution is a function of an integer variable. True or False
Suppose that we draw three cards (with replacement) from astandard deck containing 52 cards. Let X be the number of black cards drawn. Construct the probability distribution function of X as a function.
The probability histogram to the right represents the number of live births by a mother 47 to 51 years old who had a live birth in 2012. 0.30- 0.267 0.25- 0.233 0.20- -0.172 0.15- 0.112 0.094 0.10- 0.057 0.05- 0.028 0.037 0.00- 1 4 6 7 8 Child (a) What is the probability that a randomly selected 47- to 51-year-old mother who had a live birth in 2012 has had her fourth live birth? |(Type an integer or a decimal.) (b) What is the probability that a randomly selected 47- to 51-year-old mother who had a live birth in 2012 has had her fourth or fifth live birth? | (Type an integer or a decimal.) (c) What is the probability that a randomly selected 47- to 51-year-old mother who had a live birth in 2012 has had her sixth or more live birth? | (Type an integer or a decimal.) (d) If a 47- to 51-year-old mother who had a live birth in 2012 is randomly selected, how many live births would you expect the mother to have had? (Round to one decimal place as needed.) Probability 3-
The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through (d) below. Age Number of Multiple Births 15-19 90 20-24 512 25-29 1633 30-34 2839 35-39 1842 40-44 379 45-54 115 (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old. P(30 to 39)=0.6320.632 (Type an integer or decimal rounded to three decimal places as needed.) (b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39)=nothing (Type an integer or decimal rounded to three decimal places as needed.)
The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 16-year period. Assume each year is independent. Part (a) Part (b) List the values that X may take on. X=0, 1, 2,..., 15, 16 OX= 1, 2, 3, OX= 1, 2, 3, OX=1,2,3,... 15, 16 98, 99, 100 Part (c) Give the distribution of X X-B 0.02 □ Part (d) How many audits are expected in a 16-year period? (Round your answer to two decimal places.) 0.32 audits Part (e) Find the probability that a person is not audited at all. (Round your answer to four decimal places.) Part (1) Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)
Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
Do question 2
The figure below represents the data from Table 3.6 in the book. It summarizes the lengths of hospital stays (days) for a sample 25 patients. Duration of hospitalization (days) 6. 1. 01-05 06-10 11-15 16-20 >20 What is the probability that someone stayed in the hospital at most 10 days? None of these choices are correct.
Choose an American household at random and let the random variable ?X be the number of cars (including SUVs and light trucks) they own. Given is the probability distribution if we ignore the few households that own more than 5 cars. Number of cars 0 1 2 3 4 5 Probability 0.09 0.36 0.35 0.13 0.05 0.02 About what percentage of households have a number of cars within 2 standard deviations of the mean?
Please provide solution asap.And mention final answer justified
can you help with 4.3.3 please. information thats needed for it will be in both pictures submitted

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