Pg 417 6.47
For a hypothesis test
H0: p = 0.3
Ha: p < 0.3
a random sample of size n 200 is taken and the sample proportion p = 0.21
(a) Determine whether it is appropriate to use the normal distribution to estimate the p-value.
(b) If it is appropriate to use a normal distribution, complete the test for a significance level of 5%
Pg 418 6.55
Home Field in Baseball 2009 There were 2430 Major League Baseball games played in 2009, and the home team won the game in 54.9% of the games. Test to see if there is evidence at the 1% level that the home team wins more than half the games. Show all details of the test.
Pg 423 6.63
If random samples of size n = 1000 are taken from a population with a mean μ = 28 and standard deviation σ = 5, find the standard error of the distribution of sample means
Pg 430 6.81
A random sample of size n = 30 is taken from a population that is approximately normally distributed, and the sample mean x̅ = 12.7 and the sample standard deviations s = 5.6
(a) What is the best point estimate for the mean μ of the population?
(b) Use the t-distribution to find a 95% confidence interval for the mean μ
(c) What is the margin of error for the confidence interval?
a random sample of size n 200 is taken and the sample proportion p = 0.21
A random sample of size n = 472 is taken from a population of size N = 9,700 with mean μ = −63 and variance σ2 = 176. [You may find it useful to reference the z table.] A-1 Is it necessary to apply the finite population correction factor? Yes No a-2. Calculate the expected value and the standard error of the sample mean. (Negative values should be indicated by a minus sign. Round "standard error" to 2 decimal places.)...
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x̅, is found to be 107 , and the sample standard deviation, s, is found to be 10 .(a) Construct a 98 % confidence interval about μ if the sample size, n, is 22 .(b) Construct a 98 % confidence interval about μ if the sample size, n, is 12 .(c) Construct a 95 % confidence interval about μ if the...
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x̅, is found to be 109 , and the sample standard deviation, 5 , is found to be 12 .(a) Construct a 96 % confidence interval about μ if the sample size, n, is 23 .(b) Construct a 96 % confidence interval about μ if the sample size, n, is 16 .(c) Construct a 90 % confidence interval about μ if...
A random sample of size n=30 is to be drawn from a population with a mean of 500 and a standard deviation of 200. What is the standard error of the sampling distribution of x̅? 200 36.51 30 91.29
A random sample of size n = 347 is taken from a population of size N = 7,200 with mean μ =-70 and variance ơ2-151. Use Table 1. a-1. Is it necessary to apply the finite population correction factor? Yes O No a-2. Calculate the expected value and the standard error of the sample mean. (Negative values should be indicated by a minus sign. Round "standard error" to 2 decimal places.) Expected value Standard error b. What is the...
A random sample of size n = 21, taken from a normal population with a standard deviation 04 =5, has a mean X4 = 90. A second random sample of size n2 = 37, taken from a different normal population with a standard deviation o2 = 4, has a mean X2 = 39. Find a 94% confidence interval for 11 - H2 Click here to view page 1 of the standard normal distribution table. Click here to view page 2...
28. test A population proportion is .40. A random sample of size 200 will be taken and the sa proportion p will be used to estimate the population proportion. a. What is the probability that the sample proportion will be within +.03 of the popu tion proportion? b. What is the probability that the sample proportion will be within +.05 of the popula- tion proportion? Aceume that the population proportion is .55. Compute the standard error of the proportion. 10
A random sample of size n = 50 is taken from a population with mean μ = −9.5 and standard deviation σ = 2. [You may find it useful to reference the z table.] a. Calculate the expected value and the standard error for the sampling distribution of the sample mean. (Negative values should be indicated by a minus sign. Round "expected value" to 1 decimal place and "standard deviation" to 4 decimal places.) b. What is the probability that...
A random sample of size n = 87 is taken from a population of size N = 847 with a population proportion p = 0.75. [You may find it useful to reference the z table.] a-1. Is it necessary to apply the finite population correction factor? a-2. Calculate the expected value and the standard error of the sample proportion. (Round "expected value" to 2 decimal places and "standard error" to 4 decimal places.) b. What is the probability that the...
A random sample of size n=73 is taken from a population of size n=749 with a population proportion p=0.59 n = 73, p = 0.59 a-1. Is it necessary to apply the finite population correction factor? No a-2. calculate the 1.expected value and the 2.standard error of the sampling proportion