A scientist found that the time taken is M minutes, to carry out an experiment can be modelled by a normal random variable with mean 155 minutes and a standard deviation of 1.8 minutes. Find P (152 < M< 157) 0.984073 0.819040 0.969165 0.894924
Q: According to a random sample taken at 12 A.M., body temperatures of healthy adults have a…
A: Chebyshev’s inequality:Chebyshev’s rule is appropriate for any distribution. That is, Chebyshev’s…
Q: A researcher is interested in testing whether chocolate causes hyperactivity in children. To test…
A: Given, n=16 M=102 SS=375 µ = 100 Hypothesis: H0:µ = 100 The sugar does not causes hyperactivity…
Q: A random sample is obtained from a population with a m=45. After a treatment is administered to the…
A: Introduction :- Here we have to check whether the treatment effect is significant or not. We will…
Q: Let x be a random variable representing the height of mature oak trees in a forest. A friend claims…
A: given data, claim:μ=100n=16x¯=106.3s=11.8df=n-1=16-1=15p-value =?
Q: A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least…
A:
Q: The scores in the Stanford IQ test are known to be normally distributed with population mean 100 and…
A: Given that, μ=100,σ=16,n=9 The mean and standard deviation of the sampling distribution of sample…
Q: Suppose a random sample of size n will be selected from a large population with mean and standard…
A: The sample size is denoted by .The population mean is .The population standard deviation is .The…
Q: statistics student randomly selected 45 packets of sugar and weighed the contents of each packet,…
A: Given data: Mean = 3.5 g Sample mean = 3.586 g Standard deviation = 0.195 g Sample size = 45…
Q: A company manufactures tennis balls. When its tennis balls are dropped onto a concrete surface from…
A: Given, Population mean =54.9 Sample size =25 Sample mean = 56.8 sample standard deviation = 0.25…
Q: Consider a random sample drawn from the normal distribution with mean µ and variance o². The method…
A: The statement "The Method of Moments (MOM) estimator μ for the mean of a normal distribution is the…
Q: If a random sample of size n = 36 is selected from a population with a standard deviation of σ = 6,…
A: Givensample size(n)=36population standard deviation(σ)=6
Q: A researcher is interested in testing whether chocolate causes hyperactivity in children. To test…
A: The mean is 102, the sample size is 16, and the sum of square is 375. The sample standard deviation…
Q: Design a simulation with 1000 replicates that illustrates the CLT for Normal Random Variables when n…
A: Question: Design a simulation with 1000 replicates that illustrates the CLT for Normal Random…
Q: A researcher is interested in testing whether chocolate causes hyperactivity in children. To test…
A: Consider that μ defines the population mean activity level.
Q: A random sample of size, nA = 3 is selected from population A, which has a standard deviation of 6.…
A: Solution: From the given information, nA=3, nB=17, standard deviation of A is 6 and standard…
Q: Suppose x is a normally distributed random variable with mean μ=88.09 and standard deviation…
A: Given that, mean μ=88.09 and standard deviation σ=21.31 P(x<55.65)=? P(x>138.14)=?…
Q: A random sample of size 36 is taken from a population with mean 50 and standard deviation 5. Find P(…
A: From the given information,Mean = Standard deviation , Sample size , n = 36 We have to find , P (…
Q: A high school principal was concerned about the time his students were spending on home work in a…
A: given data, n=50x¯=18.50σ=10.2α=0.10claim :μ<20
Q: A psychologist reports that the average length of R.E.M. sleep in his test subjects was 10 minutes.…
A: Hypothesis Testing: Hypothesis is a procedure by which we can tests an assumption regarding a…
Q: The operator of a pumping station has observed that demand for water during early evening ours has…
A: The demand for water during early evening hours is exponentially distributed with mean 100 cfs
Q: simple random sample of size n=180 is obtained from a population with mean 240 and standard…
A: We have given that. X~N( μ , ?^2 ) μ = 240, ? =30 n= 180 Z-score =( x - μ )/?
Q: A furniture store claims that a specially ordered product will take, on average, u = 42 days (6…
A:
Q: A random sample of N = 16 healthiness scores is obtained from a population with a known mean, µ = 80…
A: It is given that: The sample size, N=16. The claimed population mean, μ0=80. The sample mean, M=82.…
Q: A researcher is interested in testing whether chocolate causes hyperactivity in children. To test…
A: Consider that μ defines the population mean activity level.
Q: For a Poisson random variable with a mean of 4 the standard deviation is approxiamately 1.414 (…
A: Given data : For a Poisson random variable with a mean of 4 the standard deviation is…
Q: According to one study among a certain people group, pregnancy lengths are approximately normally…
A: Let X be the number of premature babies born to these mothers.
Q: Researchers conducted a study to determine whether magnets are effective in treating back pain. The…
A: We have given that Treatment with sample size of 42 and mean of 0.69 and standard deviation of 0.25…
Q: The number of ants per acre in a forest is normally distributed with mean 42,000 and stands…
A: We have given that, The forest is normally distributed with mean(mu) = 42000 and standard…
Q: random sample of size n = 9 obtained from a normally distributed population with unknown mean u…
A:
Q: A simple random sample of 52 adults is obtained from a normally distributed population, and each…
A:
Q: A claim was made that the average age of couples getting married for the first time was 22.4 years…
A: The average age of first-time married couples was said to be 22.4 years old, with a standard…
Q: What is the effect size (r2) ?
A: It is given that the value of SS = 375 and n =16.
Q: An electronics manufacturing process has historically had a mean completion time of 65 minutes. It…
A:
Q: Find −t0.95 and t0.95.
A: The sample size is 25, sample mean is 56.1 inches, and standard deviation is 0.25 inches.
Q: An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.4…
A:
Q: An ecologist is studying the impact of local polluted waters on the growth of alligators. The length…
A: Length of adult male alligators follows a normal distribution with µ and standard deviation 2. n…
Q: A sample of n = 64 scores is selected from a population with µ = 80 and with σ = 24. On average, how…
A: Givenn=64μ=80σ=24
Step by step
Solved in 2 steps with 2 images
- A company manufactures light bulbs. The company wants the bulbs to have a mean life span of 1010 hours. This average is maintained by periodically testing random samples of 16 light bulbs. If the t-value falls between - to 9g and to go- then the company will be satisfied that it is manufacturing acceptable light bulbs. For a random sample, the mean life span of the sample is 1015 hours and the standard deviation is 26 hours. Assume that life spans are approximately normally distributed. Is the company making acceptable light bulbs? Explain. The company V making acceptable light bulbs because the t-value for the sample is t= and to on =. (Round to two decimal places as needed.)A company manufactures tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height the balls bounce upward to be 54.8 inches. This average is maintained by periodically testing random samples of 25 tennis balls. If the t-value falls between −t0.98 and t0.98, then the company will be satisfied that it is manufacturing acceptable tennis balls. A sample of 25 balls is randomly selected and tested. The mean bounce height of the sample is 56.6 inches and the standard deviation is 0.25 inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptable tennis balls? Find −t0.98 and t0.98. −t0.98 = t0.98= Find the t-valueSuppose that X is a normal random variable with mean μ = 200 and standard deviation σ = 40. What is theprobability that X will take a value greater than 228? with graph
- A sample of size 115 will be drawn from a population with mean 48 and standard deviation 12. Use the TI-83 Plus/TI-84 Plus calculator. Part 1 of 2 (a) Find the probability that x will be less than 45. Round the answer to at least four decimal places. The probability that x will be less than 45 is 0.0037 Part: 1/ 2 Part 2 of 2 (b) Find the 25 th percentile of x. Round the answer to at least two decimal places. The 25 th percentile is Skip Part Check Save For Later Subm © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Cente ......... .........a ... MacBook Air DII 80 F10 F7 F9 esc F4 F6 F2 F3 F1 @ 23 $ % & 1 2 3 4 6. 8.The time necessary to complete the technical interview for the Google intership is normally distributed with a mean of sixty-three minutes, and a standard deviation of twelve minutes. Let the random variable X represent the number of minutes a randomly chosen student takes to complete the assessment. If a sample of three dozen students is taken, what is the standard deviation of the sample mean σX¯ and what is the probability that the sample mean would be 59 minutes or fewer?What would be the correct way of doing this?
- The following table shows the price per share of Apple stock at the beginning of different months. Calculate the four-month weighted moving average for October 2021. Round your answer to the nearest cent. Month July 2021 August 2021 September 2021 October 2021 November 2021 December 2021 Apple Stock Price Simple Moving Average Weighted Moving Average $136.60 $146.36 $152.83 $141.90 $148.99 $167.48 ???what is the value of (M-m)?Suppose that average rainfall in your city is normally distributed, and for the past 36 months, the rainfall has been 0.5 inches per day on average with a standard deviation of 0.16. Let x be a random variable that has a normal distribution and represents the rainfall in inches per day. Using a 0.05 level of significance, you want to test the hypothesis that monthly rainfall has been 0.7 inches per day on average. What conclusion do you make from your test? Select one: a. Reject H0; the average rainfall is not 0.5 inches. b. Reject H0; the average rainfall is not 0.7 inches. c. Do not reject H0; the average rainfall is still 0.5 inches. d. Do not reject H0; the average rainfall is still 0.7 inches.