.62 (b) What is the standard deviation of the sample proportion of the algae that were cyanobacteria? .069 (c) What is the 95% marginal error of the proportion of the algae that were cyanobacteria? .134 ✔ (d) What is 95% CI? watts A researcher wishes to determine if aerobic exercise improves mental performance immediately following the exercise. He plans to have high school students participate in 30 minutes of aerobic exercise and then take a standard test of heir reasoning skills. Suppose the scores of high school students on this test of reasoning skills immediately after 30 minutes of aerobic exercise follow a Normal distribution, with standard deviation o=4. The researcher has 10,000 high chool students perform 30 minutes of aerobic exercise and then, immediately following the exercise, take the test. The mean score for these students is x = 32.4 (enter your answer in 3 decimal places) (a) what distribution is used to find critical value of 95% CI? Z, the standard normal distribution O Binomial distribution Ot-distribution O Normal distribution (b) Find Marginal error of 95% Confidence interval of mean score of the test for all high students after 30 minute of this exercise ? (c) Find 95% Confidence interval of mean score of the test for all high students after 30 minute of this exercise ? watts A random sample of size 16 is taken from a normal population with mean u. If the sample mean is 68 and the sample standard deviation is 7. (a) what distribution is used to find critical value of 95% CI? O Binomial distribution t-distribution Z, the standard normal distribution O Normal distribution (b) Compute a 95% upper confidence bound for u:(Not upper limit of 95% CI) (enter your answer in 3 decimal places)
.62 (b) What is the standard deviation of the sample proportion of the algae that were cyanobacteria? .069 (c) What is the 95% marginal error of the proportion of the algae that were cyanobacteria? .134 ✔ (d) What is 95% CI? watts A researcher wishes to determine if aerobic exercise improves mental performance immediately following the exercise. He plans to have high school students participate in 30 minutes of aerobic exercise and then take a standard test of heir reasoning skills. Suppose the scores of high school students on this test of reasoning skills immediately after 30 minutes of aerobic exercise follow a Normal distribution, with standard deviation o=4. The researcher has 10,000 high chool students perform 30 minutes of aerobic exercise and then, immediately following the exercise, take the test. The mean score for these students is x = 32.4 (enter your answer in 3 decimal places) (a) what distribution is used to find critical value of 95% CI? Z, the standard normal distribution O Binomial distribution Ot-distribution O Normal distribution (b) Find Marginal error of 95% Confidence interval of mean score of the test for all high students after 30 minute of this exercise ? (c) Find 95% Confidence interval of mean score of the test for all high students after 30 minute of this exercise ? watts A random sample of size 16 is taken from a normal population with mean u. If the sample mean is 68 and the sample standard deviation is 7. (a) what distribution is used to find critical value of 95% CI? O Binomial distribution t-distribution Z, the standard normal distribution O Normal distribution (b) Compute a 95% upper confidence bound for u:(Not upper limit of 95% CI) (enter your answer in 3 decimal places)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:1. A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phylum. A simple random sample of 50 alga is obtained and each alga is categorized as either being a cyanobacterium
or not. The researcher found that 31 alga were, in fact, cyanobacteria. (enter your answer in 3 decimal places)
(a) What is the sample proportion of the algae that were cyanobacteria?
.62
(b) What is the standard deviation of the sample proportion of the algae that were cyanobacteria?
.069
(c) What is the 95% marginal error of the proportion of the algae that were cyanobacteria?
.134
(d) What is 95% CI?
2. A researcher wishes to determine if aerobic exercise improves mental performance immediately following the exercise. He plans to have high school students participate in 30 minutes of aerobic exercise and then take a standard test of
their reasoning skills. Suppose the scores of high school students on this test of reasoning skills immediately after 30 minutes of aerobic exercise follow a Normal distribution, with standard deviation o = 4. The researcher has 10,000 high
school students perform 30 minutes of aerobic exercise and then, immediately following the exercise, take the test. The mean score for these students is x = 32.4 (enter your answer in 3 decimal places)
(a) what distribution is used to find critical value of 95% CI?
Z, the standard normal distribution
Binomial distribution
O t - distribution
watts
Normal distribution
(b) Find Marginal error of 95% Confidence interval of mean score of the test for all high students after 30 minute of this exercise ?
(c) Find 95% Confidence interval of mean score of the test for all high students after 30 minute of this exercise ?
watts
3. A random sample of size 16 is taken from a normal population with mean µ. If the sample mean is 68 and the sample standard deviation is 7.
(a) what distribution is used to find critical value of 95% CI?
Binomial distribution
t - distribution
Z, the standard normal distribution
Normal distribution
(b) Compute a 95% upper confidence bound for μ: (Not upper limit of 95% CI) (enter your answer in 3 decimal places)
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