solution:
= 0.05
critical value =Z
= Z0.05 =-1.645 using z table
q4)
Test statistic = z
= (
-
) /
/
n
= (72 - 75) / 7 /
30
Test statistic =-2.35
Consider the following hypotheses. HO HS 207 HA > 207 A sample is to be taken from a population with conditions given in parts a through c. a. n= 10 b. n = 30 mean of 211 and a standard deviation of 6. The hypothesis test is to be conducted using a significance level of 0.05. Determine the probability of committing a Type Il error for the c. n = 50 a. The probability of committing a Type Il error...
Page 3 of 7 A sample mean, sample size, and population standard deviation are given. Use the one- mean z-test to perform the required hypothesis test about the mean, p, of the population from which the sample was drawn. = 54, n 36, σ = 5.6, Ho: μ = 56; Ha: μ < 56, a 0.05 a. Reject Ho if z -1.645z0.36; therefore do not reject Ho. The data do not provide sufficient evidence to support Ha: μ < 56....
In a test of the hypothesis Ho: u = 59 versus Ha: u>59, a sample of n = 100 observations possessed mean x = 58.5 and standard deviation s = 3.8. Find and interpret the p-value for this test. The p-value for this test is (Round to three decimal places as needed.)
You are given the following null and alternative hypotheses: Ho: μ 30 Ha: μ#30 α-0.05 6. Calculate the probability of committing a Type ll error when the population mean is 25, the sample size is 50, and the population standard deviation is known to be 13. (2)
Consider the following hypotheses: HO: > 220 HA: U <220 A sample of 72 observations results in a sample mean of 209. The population standard deviation is known to be 18. (You may find it useful to reference the appropriate table: z table or t table) a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test...
A sample of size 81 is taken from a population with unknown mean and standard deviation 4.5. In a test of Ho: u = 5 vs. Ha: u < 5, if the sample mean was 4, which of the following is true? (i) We would reject the null hypothesis at a =0.01. (ii) We would reject the null hypothesis at a = 0.05. (iii) We would reject the null hypothesis at a = 0.10. O only (i) O only (iii)...
Ho: u= 6 HA: u>6 2. [4] An observation X is drawn from a Poisson distribution with mean u. Consider a test of the hypotheses at right. Suppose X = 12 is observed. a. [3] Determine the P-value for the test. b. [1] If the significance level is a= 0.05, what is your decision?
3-7
Consider the following hypothesis test: Ho: u=15 Ha: u15 A sample of 40 provided a sample mean of 14.16. The population standard deviation is 6. Enter negative value as negative number. a. Compute the value of the test statistic (to 2 decimals) b. What is the p-value (to 4 decimals)? Use the value of the test statistic rounded to 2 decimal places in your calculations. c. Using a 0.05, can it be concluded that the population mean is not...
Consider the following hypotheses: HO: 76.7 HA u > 76.7 A sample of 41 observations yields a sample mean of 78.0. Assume that the sample is drawn from a normal population with a population standard deviation of 4.4. (You may find it useful to reference the appropriate table: z table or t table) a-1. Find the p-value. es O 0.05 s p-value < 0.10 Op-value 20.10 O p-value < 0.01 O 0.01 s p-value <0.025 O 0.025 s p-value <...
{Exercise 9.09 (Algorithmic).} Consider the following hypothesis test: Ho: u 20 Ha: p < 20 A sample of 40 provided a sample mean of 19.6. The population standard deviation is 1.8. a. Compute the value of the test statistic (to 2 decimals). -1.64 b. What is the p-value (to 3 decimals)? -1.757 X c. Using a = .05, can it be concluded that the population mean is less than 20? No d. Using a = .05, what is the critical...