In order to test the following hypotheses at an α level of significance H0: μ ≤...
In order to test the following hypotheses at an α level of significance
H0: μ ≤ 800
Ha: μ > 800
the null hypothesis will be rejected if
a) the test statistic z ≥ zα.
b) the test statistic z < zα.
c) the test statistic z < −zα.
d) the test statistic z = α.
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In order to test the following hypotheses at an α level of
significance
H0: μ ≤...
In order to test the following hypotheses at an ? level of significance H0: ? ?...
In order to test the following hypotheses at an ? level of significance H0: ? ? 800 Ha: ? > 800 the null hypothesis will be rejected if the test statistic Z is a. > Z? b. < Z? c. < -Z? d. = ?
When the following hypotheses are being tested at a level of significance of α, H0: μ...
When the following hypotheses are being tested at a level of significance of α, H0: μ ≥ 500 Ha: μ < 500 the null hypothesis will be rejected if a) p-value ≤ 1 − α/2 b) p-value = α/2 c) p-value > α d) p-value ≤ α
A test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a...
A test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a significance level of α = 0.01. The value of the test statistic is z = 1.23. a. Is H0 rejected? b. If the true value of μ is 50, is the result a Type I error, a Type II error, or a correct decision? A test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a significance level of α...
Consider the following hypotheses: H0: μ ≥ 167 HA: μ < 167 A sample of 71...
Consider the following hypotheses: H0: μ ≥ 167 HA: μ < 167 A sample of 71 observations results in a sample mean of 165. The population standard deviation is known to be 25 . a-1. Calculate the value of the test statistic a-2. Find the p-value. b. Does the above sample evidence enable us to reject the null hypothesis at α = 0.05? c. Does the above sample evidence enable us to reject the null hypothesis at α = 0.01?...
You wish to test the following hypotheses at a significance level of α=0.05α=0.05. H0:μ=62.1 HA:μ<62.1 You...
You wish to test the following hypotheses at a significance level of α=0.05α=0.05. H0:μ=62.1 HA:μ<62.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=90 with mean ¯x=60.7 and a standard deviation of s=7.6 What is the test statistic for this sample? (Report answer accurate to two decimal places.) t= What is the degree of freedom? df=
Use a t-test to test the claim about the population mean μ at the given level...
Use a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed. Claim: μ z 8300; α= 0.10 Sample statistics: x= 8100, s= 470, n= 22 18. What are the null and alternative hypotheses? ○ A. H0:1128300 O c. Ho: μ#8300 O B. Ho: μ#8300 Ha: μ = 8300 D. Ho: μ 8300 Ha: μ > 8300 Ha: μ < 8300 Ha:...
Consider the following hypotheses: H0: μ = 9,100 HA: μ ≠ 9,100 The population is normally...
Consider the following hypotheses: H0: μ = 9,100 HA: μ ≠ 9,100 The population is normally distributed with a population standard deviation of 700. Compute the value of the test statistic and the resulting p-value for each of the following sample results. For each sample, determine if you can "reject/do not reject" the null hypothesis at the 10% significance level. (You may find it useful to reference the appropriate table: z table or t table) (Negative values should be indicated...
Consider the following hypotheses: H0: μ = 4,900 HA: μ ≠ 4,900 The population is normally...
Consider the following hypotheses: H0: μ = 4,900 HA: μ ≠ 4,900 The population is normally distributed with a population standard deviation of 600. Compute the value of the test statistic and the resulting p-value for each of the following sample results. For each sample, determine if you can "reject/do not reject" the null hypothesis at the 10% significance level. (You may find it useful to reference the appropriate table: z table or t table) (Negative values should be indicated...
Conduct the following test at the α = 0.05 level of significance by determining (a) the...
Conduct the following test at the α = 0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p1≠p2. Sample data are x1=30, n1=254, x2=36, and n2=302. (a) Determine the null and alternative hypotheses. Choose the correct answer below. A. H0: p1=0 versus H1: p1=0 B. H0: p1=p2 versus H1: p1<p2 C. H0: p1=p2 versus H1: p1>p2...
A hypothesis test is used to test the hypotheses H0: μ = 10.5 versus HA: μ...
A hypothesis test is used to test the hypotheses H0: μ = 10.5 versus HA: μ > 10.5 where μ = the mean weight of a one-year old tabby cat. Based on a random sample of 21 cats, a p-value of 0.0234 is found. a) Using α = 0.05, what is the conclusion for this test, reject or fail to reject the null hypothesis? b) Based on your answer to part b, what type of error did you possibly make,...
Use a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed. Claim: μ z 8300; α= 0.10 Sample statistics: x= 8100, s= 470, n= 22 18. What are the null and alternative hypotheses? ○ A. H0:1128300 O c. Ho: μ#8300 O B. Ho: μ#8300 Ha: μ = 8300 D. Ho: μ 8300 Ha: μ > 8300 Ha: μ < 8300 Ha:...
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