На:р < 0.3 Ha:p + 0.3 Ha:p > 0.3 (D) (E) (F) Ho:p = 0.371| Ho:p = 0.371| Ho:p = 0.371 На:р < 0.371 | На:р + 0.371| На:р > 0.371 Using the normal approximation for the binomial distribution (without the continuity correction), what is the test statistic for this sample based on the sample proportion? Z = (Report answer as a decimal accurate to 3 decimal places.) You are now ready to calculate the P-value for this sample. P-value = (Report answer as a decimal accurate to 4 decimal places.) This P-value (and test statistic) leads to a decision to... O reject the null O accept the null fail to reject the null O reject the alternative 30

Q: Problem 6_Let the random variable Z has a standard Normal distribution. Z ~ N(0, 1) a. Sketch the…

A: We have given that.   X~N( μ , ?^2 )   μ=0 , ?=1 , for standard normal    Z-score =( x - μ )/?

Q: The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year…

A:

Q: Let X1, ., X1o be independent chi-squared random variables with X; ~ x²(2) Answer the following…

A:

Q: The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year…

A: It is given that the undergraduate grade point average of students taking an admission test is…

Q: The average number of miles (in thousands) that a car's tire will function before needing…

A: Givan Mean=66 Standard deviations=18 n=6

Q: The lifetime of a AAA battery is normally distributed with mean µ= 26.5 hours and standard eviation…

A:

Q: REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both…

A: The formula for calculating the z- test statistic for two sample means is, The summary of the…

Q: probability that their mean rebuild time is less than 8.9 hours. fthe

A: Given that Mean time taken by a mechanic to re-build the the transmission is 8.4 hours  Mean(μ) =…

Q: A random variable is binomially distributed with n= 16 and 7 = .40. The expected value and standard…

A: A random variable is binomially distributed with and .

Q: REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both…

A: Given: n1 = 9, x1 = 2.9, s1 = 0.7  n2 = 9,  x2 = 2.2, s2 = 0.5

Q: Test1 Marks of STAT200 students is known to be normally distributed with a mean of 34 and standard…

A:

Q: The average number of miles (in thousands) that a car's tire will function before needing…

A:

Q: A day's sales in $1000 units at a gas station have a gamma distribution with parameters k = 5 and 2…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A:

Q: What is the distribution of X? X ~ N(,) What is the distribution of ¯x¯? ¯x¯ ~ N(,) If a randomly…

A: Let X represents the number of miles (in thousands) that a car's tire will function before needing…

Q: Q/ The test score of a physics class with 800 students are distributed normally with a mean of 75…

A: Let X be the test scores of physics class Given that: X~Normalμ=75, σ=7 a) Percentage of class…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!