Normal Distribution, Joint Probability Distribution and Random Samples

54. Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65 and standard deviation .85 (suggested in “Modeling Sediment and Water Column Interactions for Hydrophobic Pollutants,” Water Research, 1984: 1169—1174). a. If a random sample of 25 specimens is ...continues

Point Estimation in Statistics : Maximum Likelihood Estimator, Bias

20. A random sample of n bike helmets manufactured by a certain company is selected. Let X = the number among the n that are flawed, and let p = P(flawed). Assume that only X is observed, rather than the sequence of S’s and F’s. a. Derive the maximum likelihood estimator of p. If n = 20 and x = 3, what is the estimate? b. Is t ...continues

Point Estimation in Statistics

22. Let X denote the proportion of alloted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is ... a. Use method of moments to obtain an estimator ... b. Obtain the maximum likelihood esitmator ... Please see attachment for complete question. Thank you!

Jointly Distributed Random Variables : Uniform Distribution and Joint Probability Density Function

10. ... Suppose that X and Y are independent with each uniformly distributed on the interval ... a. What is the joint pdf? b. What is the probability that they both arrive between ... c. If the first one to arrive will wait only 10 minutes before leaving to eat elsewhere, what is the probability ... (Please see attachmen ...continues

Point Estimation in Statistics

20. A random sample of n bike helmets manufactured by a certain company is selecrted. Let X = the number abong n that are flawed ... a. Derive the maximum likelihood estimator ... b. Is the estimator unbiased? c. If n = 20 and x - 3, what is the mle of the probability ... (see attachment for complete question)

Radius, Mass of Planets and Period of a Pendulum

My problem is understanding this because I have to calculate the mass and radius of 3 planets along with the graviational acceleration and then find the period of a 2 meter long pendulum on each planet for the assignment. The instructor posted a formula that he used in Excel but there was no explanation. The formula: =6 ...continues

Probability : Confidence Intervals and Sample Mean

2. Each of the following is a confidence interval for μ = true average (i.e., population mean) resonance frequency (Hz) for all tennis rackets of a certain type: (114.4. 115.6) (114.1,115.9) a. What is the value of the sample mean resonance frequency? b. Both intervals were calculated from the same sample data. The confi ...continues

stat class, 400 level course.

4. A CI is desired for the true average stray-load loss... Please see attached.

Probability : Calculate and Interpret a Confidence Interval

20. The Associated Press (October 9, 2002) reported that in a survey of 4722 American youngsters aged 6 to 19, 15% were seriously overweight (a body mass index of at least 30; this index is a measure of weight relative to height). Calculate and interpret a confidence interval using a 99% confidence level for the proportion of al ...continues

Confidence Interval, Standard Deviation and Normal Distribution

44. The amount of lateral expansion (mils) was determined for a sample of n = 9 pulsed-power gas metal arc welds used in LNG ship containment tanks. The resulting sample standard deviation was s = 2.81 mils. Assuming normality, derive a 95% CI for σ and for σ^2.