Use the normal approximation to find the indicated probability. The sample size is n, the population proportion of successes is p, and X is the number of successes in the sample. n = 78, p = 0.75: P(X < 68)

Q: ollect the Data n = 30 x = 21 In other words, define the random variable P′. State the estimated…

A: Given, n=30 x=21

Q: According to a recent survey, 73% of teens ages 12-17 in a certain country used social networks in…

A: Given data: p = 0.73 Sample size = 140

Q: In a study of television ratings, groups of 4 U.S households are randomly selected. In the…

A: From the provided information, X p (x) 1 0.539 2 0.351 3 0.095 4 0.015

Q: Suppose for a given random variable, X, we have V( X) = 0.0001, then the value of X is close to E(X)…

A: Random variables are of 2 types, discrete and continuous. Expectation of a random variable is same…

Q: For an independent samples t-test, if n1 = 6 and n2 = 5, what is df = ?

A: Given : n1 = 6 n2 = 5

Q: For a continuous ransom variable x, the population mean adn the population standard deviation are 30…

A: Sampling distribution of sample mean:

Q: About 25% of a population are of a particular ethnic group. 200 people are randomly selected from…

A: According to the given information, we have Probability, p = 25% Sample size, n = 200

Q: + L Decide whether the random variable x is discrete or continuous. Explain your reasoning. Let x…

A: Given information X represents the volume of blood drawn for a blood test It is a random variable…

Q: pestation period is 16 days. Suppose you have a sample of 27 Syrian hamsters who were exposed to…

A: probability of getting the t statistic or something can be calculated as follow

Q: What is the P (−2.2<t<2.2) with a sample size of 4.

A: Solution: From the given information, the sample size is 4.

Q: You want to obtain a sample to estimate a population proportion. At this point in time, you have no…

A: at confidence level 90%, significance level(α) α=1-90%α=1-0.90α=0.10 by using z-distribution table,…

Q: An oceanographer wants to test, on the basis of the mean of a random sample of size n = 35 and at…

A:

Q: d. - 2.69 <z< 1.06 P(- 2.69<zs 1.06) = e. - 2.02 < z<-0.93 P(- 2.02 < z<- 0.93) =

A:

Q: P(z>1.2) P(z≤-1.2) P(-0.8≤2≤ 1.2) P(-2.5<z<-0.5) P(0.35 ≤z<2.75)

A: We have to find given probability.…

Q: n =

A: here given ,  confidence level =  90%  MOE = 3.5% = 0.035

Q: prices of a 16 oz latte are not normally distributed, with µ = $4.00 and o= $0.75. Suppose a random…

A: Given  that  Sample size n =16 Population mean =4 Population standard deviation =0.75

Q: Consider a random sample from the distribution of Binomial, Poisson, Exponential, Gamma, and normal.…

A: Let Xi~Eθ. Then the p.d.f of Xi is fx=θe-θx,x&gt;0,θ&gt;0 EXi=1θVXi=1θ2 MSET1=VT1=VX+4=VX=1θ2…

Q: Determine the minimum sample size required when you want to be 95% confident that the sample mean is…

A: From the provided information, Population standard deviation (σ) = 18.3 Margin of error (E) = 1…

Q: Ok so say I have selected a simple random sample of size n = 125 of a large population with a…

A:

Q: The random variable X is defined as the weight of a Thanksgiving turkey. Find the proportion of all…

A: Let X be the weight of a Thanksgiving turkey which follows normal with mean 14.995, and standard…

Q: You wish to estimate the average mark of all students who recently wrote a Medical College…

A: Given,Standard deviation, σ = 6% = 0.06Margin of error, E = 3% = 0.03Confidence level, C = 99% =…

Q: Random variable X is normally distributed with mean 18 and variance 9. If P(k<X<21) = 0.2045, find…

A:

Q: IQ scores in the population follow N(100, 15). We randomly pick sample of 50 people from the…

A: Given, N~(100,15)

Q: A random sample of 36 textbook prices is taken from a local college bookstore. The mean of the…

A:

Q: For the standard normal random variable z, find P(z ≤ 0.57). Select one: A. 0.2877 B. 0.7157 C.…

A: Draw the normal curve and shade the area to the left of z=0.57.

Q: Based on a study, it was observed that amount of blood loss during major surgery is normally…

A:

Q: Find the probability using the normal table (opens in new window). P(p ≥ 0.13) = P(z ≥ 1.5) = (Click…

A: The z-score is 1.5

Q: The sampling distribution of p, the proportion of groceries thrown out by your sample respondents is…

A: Solution-: Given: n=540,p=0.12 (Or 12%) we choose correct option in the following (a) not normal…

Q: For the individual model, suppose that has distribution Ber(q), that is, q> 0 is constant. Find the…

A: In this problem, we are given an individual model with a distribution described as Ber(q), where q…

Q: Use the confidence interval to find the margin of error and the sample mean.   (0.676,0.800)

A: The margin of error is the most common term which we use in a confidence interval. It is the degree…

Q: The mean of t - distribution with n degrees of freedom is:m

A: T - distribution is similar as Normal distribution.which has data equally distributed according to…

Q: An interior decorator wants to compare the prices at 2 stores to see if their mean prices are…

A: The claim is that mean prices are significantly different.

Q: For a normal distribution with µ = 64 and σ = 9,

A:

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: Determine whether the statement is true or false. If it is false, rewrite it as a true statement. f…

A: It is given that the statement about to the z-score  is use when sample size is at least 30.

Q: Using The t Distribution Table, find the P -value interval for a two-tailed test with n=28 and…

A: Solution- Using t distribution table to find p value for two tailed test where  t=2.003  and n=28

Q: c) Determine the P-value. The P-value is

A: Here we have to do a two sample proportion test: x1=126    x2=134n1=248    n2=313   Two sample…

Q: the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean?

A:

Q: The random variable X is defined as the weight of a Thanksgiving turkey. Find the proportion of all…

A: Solution

Q: Find P(Z < -1.26) where Z is the standard normal random variable. Round to 4 decimal places. Answer:

A: P(Z&lt;-1.26)=?Z is the standard normal distribution.

Q: Z-score calculation formula:     Let x be a random variable that has a normal distribution with a…

A:

Q: About 40% of a population are of a particular ethnic group. 110 people are randomly selected from…

A:

Q: The t-score distribution for df = 4 resembles the z-score distribution in shape more than a t-score…

A: As we know when the degrees of freedom of t increases the t distribution becomes normal (Z score)…

Q: girls in 8 births. E Click the icon t view the data table. The mean is u= girl(s). (Round to one…

A: Given that Probability distribution table X 0 1 2 3 4 5 6 7 8 P(x)  0.006 0.031 0.114 0.212…

Q: A discrete random variable has probability distribution: x= 1, 2,3,4, 5 and P(x) =0.12 ,0.15, 0.23,…

A: The standard deviation can be calculated by taking square root of the variance of X. And the…

Q: You want to find the probability of getting a z score less than or equal to 1.2. Which distribution…

A: The best distribution for calculating this probablity is "normal distribution". We need to look for…

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.