Concept explainers
For a normal distribution with μ = 500 and o = 100, find the following values:
a. What X value separates the highest 5% of the distribution from the rest of the
scores? X=__________________.
Find the z-score for the sample mean for each of the following samples obtained from a population with u = 80 and o = 20.
a. M = 82 for a sample of n = 4, Z=____________.
For a normal distribution with a mean of μ = 100 and a standard deviation of o = 15, find each of the following probabilities:
b. p(X<80), p=__________
sample of n = 16 scores is selected from a normal population with u = 60 and o = 20. a. What is the probability that the sample mean will be greater than 50? Proportion=___________________.
b. What is the probability that the sample mean will be less than 56? Proportion=___________________.
Some researchers claim that herbal supplements such as ginseng or ginkgo biloba enhance human memory. To test this claim, a researcher selects a sample of n = 25 college students. Each student is given a ginkgo biloba supplement daily for six weeks and then all the participants are given a standardized memory test. For the population, scores on the test are
a. Use a two-tailed test with a = .05. Conduct the four steps for hypothesis testing and label each step: Step1, Step 2, Step 3, and Step 4.
b. Calculate Cohen’s d.
c. Are the data sufficient to conclude that there is a significant difference? Write your
answer in the form of a sentence.
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- 00 T R AWM Z. Use the standard normal table to find the z-score that corresponds to the given percentile. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score. P72 Cliak to viouno The z-score that corresponds to P72 is (Round to two decimal places as needed.) Enter your answer in the answer box. ?. ll Jeffrey Jones 61 Lea V Stop Video Participants Chat Share Screen Record Reactions Unmute Type here to search 近。 PrtScn Home (口 F1 F2 F3 F4 F5 23 2$ 5. 9- 4. A. B.arrow_forwardIn the US, 46.2% of all people have type O blood, 39.1% have type A blood, 10.4% have type B blood and 4.3% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires. The table below shows the results of a random sample of 3116 millionaires. What can be concluded at the a = 0.01 significance level? a. Complete the table by filling in the expected frequencies. Round to the nearest whole number: Frequencies of Blood Type Outcome Frequency Expected Frequency 1434 A 1224 В 310 AB 148 b. What is the correct statistical test to use? Select an answer V c. What are the null and alternative hypotheses? Но: O Blood type and income are independent. O The distribution of blood type for millionaires is not the same as it is for Americans in general. O The distribution of blood type for millionaires is the same as it is for Americans in general. O Blood type and income are dependent.arrow_forwardA vertical line is drawn through a normal distribution at z = 1.20. What proportion of the distribution is on the left-hand side of the line? Question 6 options: 0-8849 0-1151 0.3849 0.7698arrow_forward
- Z = -0.0U 1.40 %3D Z3 -0.80 10. Find the z-score corresponding to a score of X = 45 for each of the following distributions. 40and o a. u = = 20 b. u = 40 and o = %3D 10 %3D C. u = 40 and o = 5 d. u = 40 and o = 2arrow_forwardA normal distribution has a mean of u = 40 with a = 10. If a vertical line is drawn through the distribution at X = 35, what proportion of the scores are on the left side of the line? Question 21 options: 0.3085 0.6915 0.0668 0.9332arrow_forwardFind to.20 for T distribution with 29 degrees of freedom. to.20 (Round the answer to 3 decimal places)arrow_forward
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