For the binomial experiment, find the normal approximation of the probability of the following. (Round your answer to four decimal places.) no more than 70 successes in 100 trials if p = 0.6 You may need to use the table of areas under the standard normal curve from the appendix.

Q: You are conducting a study to see if the probability of a true negative on a test for a certain…

A: The null and alternative hypothesis is, The type of test is left tailed test The value of test…

Q: For a normal population with µ = 100 and σ = 9, what is the probability of obtaining a sample mean…

A: According to the given information, we have Mean = 100 Standard deviation = 9 Sample size = 25

Q: A sample of size 10 will be drawn from a normal population with mean 15 and standard deviation 22.…

A: Sampling distribution of sample mean: If the population is normally distributed then the sampling…

Q: A normal distribution has a mean of µ = 40 with σ = 8. If one score is randomly selected from this…

A: The following information has been provided:

Q: You are conducting a study to see if the probability of catching the flu this year is significantly…

A:

Q: Given a normal distribution with μ=103 and σ=15​, and given you select a sample of n=9​, There is…

A: Given data: Mean = 103 Standard deviation  = 15 Sample size = 9

Q: Suppose the relationship between Y and X is given by: Y = 10 + 8.75*X + error  By how much does the…

A: The objective of the question is to find out the change in the expected value of Y when X increases…

Q: you decrease the level from .05 to 0.1 then you increase the likelihood of a type l error. True or…

A: In hypothesis testing, the Type I error is known as the probability of rejecting the null hypothesis…

Q: You are conducting a study to see if the probability of catching the flu this year is significantly…

A: A hypothesis is said to be right-tailed if the population parameter is greater than some…

Q: A sample of 2500 scores was drawn from a normal distribution with µ = 200 and σ = 20. What was the…

A: Sample size, n=2500 Population mean, μ=200 Population standard deviation, σ=20

Q: You are conducting a study to see if the probability of a true negative on a test for a certain…

A: Test Statistic=-1.541 H0:p <0.72

Q: What is the margin of error for a 99% CI for a mean, when the sample size is 12, the sample average…

A: Given: Sample size, n = 12 Sample mean, x = 52 Sample standard deviation, s = 13 It follows a…

Q: If you were to use the normal approximation for the binomial distribution with probability of…

A: From the provided information, The probability of success = p Number of trials = n

Q: A researcher tries to estimate the population mean by using sufficiently large sample. The…

A: The probability is 0.99.

Q: Find the probability that the mean of this sample is less than 149.1. Round your answer to at least…

A: It is given that  Mean, μ = 134.5 Standard deviation, σ = 44.4 Sample size, n = 49

Q: In a sample of a statistics class, an exam’s scores have a mean = 87 and standard deviation = 6.…

A: Given :  In a sample of a statistics class, an exam’s scores have a mean = 87 and standard deviation…

Q: A sample of n = 10 scores has a mean of M = 3. What is ΣX for this sample?

A: Solution: From the given information, M=3 and n=10.

Q: You are conducting a study to see if the probability of catching the flu this year is significantly…

A: Given that, You are conducting a study to see if the probability of catching the flu this year is…

Q: D. pl-H.20 <26-0.80

A:

Q: Given a normal distribution with μ=45 and σ=5​   For this​ distribution, 9​% of the values are…

A:

Q: Explain a situation in which the criteria for using the approximation would be met, ie. np ≥ 5 and…

A: Ans .  The mean μ of a binomial = np. The standard deviation of a binomial = √np(1−p) For a normal…

Q: A normal distribution has µ = 20 and σ = 4. Which is the probability of randomly selecting a score…

A: Given that.   X~N( μ , ?^2 )   μ=20   , ?=4   Z-score =( x - μ )/?

Q: A population of N = 6 scores has ΣX = 42. What is the population mean?

A: Given ,Population of N=6 scoresand Σx =42

Q: In a recent election 57% of people supported reelecting the incumbent. Suppose a poll is done of…

A: From the provided information, In a recent election 57% of people supported re-electing the…

Q: Suppose that 40% of Americans drink soda every day. Amy, a researcher at a local university, takes a…

A: Answer:- Here the random variable X has binomial distributionThe sample size is: Probability of…

Q: here is a 61​% chance that x̄ is above what​ value?

A: Let , X→N(μ=101 , σ=25) , n=25 By using central limit theorem , The sampling distribution of the…

Q: In a normal distribution of test scores, a score of X = 70 has a percentile rank of 54%. This means…

A: The pth percentile of a set of observations is the value below which, p% or (p/100) proportion of…

Q: The mean for a sample of n = 16 scores has an expected value of 50. This sample was selected from a…

A: The question is about unbiased estimator Given : Sample no. of scores ( n ) = 16 Expected value of…

Q: If a random sample of size n=160 has x¯=105 and s=9.5, find the standard error of the statistic.…

A:

Q: For a simple size data with a normal distribution with the mean of 30 and extended deviation of 7.5…

A: given: mean=30 standard deviation = 7.5

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.