A sample of size 26 is taken from a finite Normal population in which the variance is known to be 25. It is desirable to test the hypothesis that the mean is greater than 50, with ALPHA=.025. The critical value(s) of the test statistic you would use is(are): A. 1.96, 1.96 B. 1.96 C. 1.645 D. 1.645

Q: Suppose that the random variable X represents th If E(X) 9 and V(X) 0.25, wh millimeters. Meani…

A: Let X be a random variable that represents the length of a punched part in the centimeters.Let Y be…

Q: Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone…

A: Given Information :        μ=7.9σ=var=0.25=0.5σ=0.5x=8.1

Q: A population has SS - 100 and variance, o-4. What is the value of EX - jal for the population? O 100…

A: given that ss of population=100 variance σ2 =4 σ2= [Σ(x-μ)2]/N where N is number of data

Q: Given that the entire population of a certain set of data comprises { 2, 1,3}. Compute the true…

A: The data set is {2,1,3}.

Q: 3.6 with a sample variance of 64. We are interested in testing whether the average grade of the…

A: The population standard deviation is unknown.  The hypothesis will be set as: H0:μ=75H1:μ>75

Q: A state biologist is investigating whether the proportion of frogs in a certain area that are…

A: The given hypotheses are as follows: H0: p = 0.20 Ha: p > 0.20 In the given random sample of 150…

Q: A random sample of 16 statistics examinations from a large population was taken. The average score…

A: Here we need to obtain the critical value for the given hypothesis test. Also given that the…

Q: A sample of n=64 is obtained from a population with μ = 100 and σ = 16.  The sample mean has a…

A: Where,

Q: Sample X has a size of 6 and a variance of 2.3. Sample Y has a size of 10 and a variance of 0.6.…

A:

Q: Suppose we observe two independent random samples X₁,..., X, with each X; Y₁, ..., Y₂ with each Y;…

A: Xi~N(μ1, σ1)And Yi~N(μ2, σ2)For test two independent means Concept Used: For test the hypothesis for…

Q: The annual earnings of 25 people with a high school diploma and 16 people with an associate’s degree…

A: We have given that  High School Diploma Associates degree X1 = $36,875 X2= $44,900 S1= $5475…

Q: A sample ofn=9 men are asked." what is the fastest you have ever driven a car?" The sample mean is…

A: Given: n=9x¯=50s2=400μ=100

Q: The Department of Agriculture wants to determine whether the mean yield per acre for a particular…

A: from the given information we find the 95% confidence interval.

Q: In a test of hypothesis, the null hypothesis is that the population variance is equal to 5.4 and the…

A: It is given that Population standard deviation = 5.4Sample standard deviation = 11.84Sample size =…

Q: You have a sample mean of 11, a population average of 17, and a standard error of the mean of 3.…

A: Givensample Mean(x)=11population average(μ)=17standard error(SE)=3

Q: A manufacturer claims that 10% of women using the "pill" suffer from side effects. The Federal Drug…

A: Test statistic: The test statistic for hypothesis test for proportion is given by:

Q: In a test of hypothesis, the null hypothesis is that the population mean is equal to 32 and the…

A: Given that,population mean() = 32sample size (n) = 40Sample mean () = 32.75Standard deviations (s) =…

Q: Assume you have taken 125 samples of size 81 each from a population. The population variance is 64.…

A:

Q: Suppose that the distribution of diastolic blood pressure in men aged 35-44 years follows a normal…

A: For the distribution of the diastolic blood pressure, the parameters are given as follows:The mean,…

Q: What is the test statistic for this hypothesis test?

A: The Department of Agriculture wants to determine whether the mean yield per acre for a particular…

Q: The t-test for the difference between the means of two independent samples assumes that both samples…

A: Solution: option b) is right. Explanation: The t-test for the difference between the means of two…

Q: The Department of Agriculture wants to determine whether the mean yield per acre for a particular…

A: The random variable yield per acre for a particular variety of soybeans follows normal distribution.…

Q: You are comparing the variability of two groups of data to see if they come from the same…

A: Solution: From the given information, level of significance is 0.05, the two sample sizes are 11 and…

Q: Suppose that the random variable X represents the length of a punched part in centimeters. Let Y be…

A:

Q: Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone…

A:

Q: A simple random sample of 100 observations was taken from a large population. The sample mean and…

A:

Q: sample of 100 scores has a mean of 58, a variance of 160, and an estimated standard error of 4.…

A: We have given that  Sample size n= 100 , mean= 58 , variance = 160 , standard error = 4 ?= 12.6491

Q: You set out to conduct a hypothesis test at the 95% level. Mean yields are distributed Normally. You…

A: Given: μ=520Sample mean, x¯=573Sample sd, s=24Sample size, n=36

Q: Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone…

A: Given Information :  Our environment is very sensitive to the amount of ozone in the upper…

Q: Q5. A random sample of size n = 10 from a normal population has mean = 5.68 and a standard deviation…

A: Here, α=0.05, n=10, and s=0.29.

Q: A random sample of 16 statistics examinations from a large population was taken. The average score…

A: Given: μ0=75, n=16, x=78.6 and s2=64. Since, the population variance is not known, use t-test.