12.) For a normal population with f0n20 what is the probability of obtaining a sample mean...
For a normal population with an average of 60 and a standard deviation of 12 what is the probability of selecting a random sample of 36 scores with a sample mean greater than 64? p(M greater than 64)? a 50% b .9772 or 97.72 % c. .8777 or 87.77% d. .0228 or 2.28% A population has a mean of 50 and a standard deviation of 5, find the z-score that corresponds to a sample mean of M=55 for a sample...
A random sample of n - 16 scores is selecdted from a normal population with a mean of p - 50. After atreatment is administered to the individuals in the sample, the sample mean is found to be M -54 If the population standard deviation is σ-8, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α-.05. (Hint: Recall that the critical value for a two-tailed test with α-.05 is...
A random sample is selected from a normal population with a mean of μ = 20 and a standard deviation of σ = 10. After a treatment is administered to the individuals in the sample, the sample mean is found to be M = 25. If the sample consists of n = 4 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with alpha = .05.
A sample of 36 observations is selected from a normal population. The sample mean is 12 and the population standard deviation is 3. The null hypothesis: the mean is equal to 10. The alternate hypothesis: the mean is greater than 10. Please test the null hypothesis at the .01 significance level. (Show your work for credit.) Is this a one- or a two tailed test? __________ What is your decision rule (include the critical value of z). What is the value of the test statistic...
a. What is the probability that the sample mean
is within $600 of the population mean if a sample of size 40 is
used (to 4 decimals)?
b. What is the probability that the sample mean
is within $600 of the population mean if a sample of size 80 is
used (to 4 decimals)?
In the EAI sampling problem, the population mean is $51,200 and the population standard deviation is $4,000. When the sample size is n 20, there is...
a. What is the probability that the sample mean
is within $500 of the population mean if a sample of size 60 is
used (to 4 decimals)?
b. What is the probability that the sample mean
is within $500 of the population mean if a sample of size 120 is
used (to 4 decimals)?
In the EAI sampling problem, the population mean is $51,800 and the population standard deviation is $4,000. When the sample size is n-30, there is a...
9.138 Consider a random sample of size 20 from a normal population with hypothesized mean 1.618. a. Write the four parts for a one-sided, left-tailed hypothesis test concerning the population mean with α 0.05. b. Suppose x = 1.5 and s = 0.45. Find the value of the test statistic, and draw a conclusion about the population mean. c. Find the p value associated with this hypothesis test.
9.138 Consider a random sample of size 20 from a normal population...
A normal distribution of scores in population has a mean of µ = 100 with σ = 20. A. What is the probability of randomly selecting a score greater than X = 110 from this population? B. If a sample of n = 25 scores is randomly selected from this population, what is the probability that the sample mean will be greater than M = 110?
2. Suppose Yi,.. narei normal random variables with normal distribution with unknown mean and variance, μ and or. Let Y-욤 Σ;..x. For this problem, you may not assume that n is large. (a) What is the distribution of Y? (b) what is the distribution of z-(yo), (en, (n-) (c) what is the distribution of (n-p? (d) What is the distribution of Justify your answer. (e) Let Zi-(ga)' + (-)' + (yo)", z2 = (속)' + (n-e)' what is the distribution...
1. A normal distribution has a mean of μ = 60 and a standard deviation of σ = 12. For each of the following samples, compute the z-score for the sample mean and determine whether the sample mean is a typical, representative value or an extreme value for a sample of this size. a. M = 53 for n = 4 scores σ/ √n= 12/√4 =6 z=(53-60)/6 = -1.17 b. M = 53 for n = 9 scores σ/ √n=...