We find the 95% confidence interval for a mean is (25.2, 26.7). If we test H0...
We find the 95% confidence interval for a mean is (25.2, 26.7). If we test H0 : µ = 25 against H1 : µ 6= 25 at the 5% level what is our conclusion? Possible answers are: reject H0, accept H0, can’t tell.
Homework Answers
The 95% confidence interval for a mean is (25.2, 26.7)
Since the value 25 is not contained in this interval, so at 5% level of significance, we have sufficient evidence to reject the null hypothesis H0.
So, we reject H0.
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We find the 95% confidence interval for a mean is (25.2, 26.7). If
we test H0...
An engineer measures the weights (in kilograms) of steel pieces. They would like to test H0...
An engineer measures the weights (in kilograms) of steel pieces. They would like to test H0 : µ = 5 against H1 : µ > 5. The weights follow a normal distribution with variance 16. Using a sample of size n = 25, the engineer decides to reject H0 if x > 6. Assuming that the true population mean is 5.2, determine the probability of committing an error of Type II error.
We wish to test H0: = 0 versus Ha: > 0. If we calculate a test statistic of =...
We wish to test H0: = 0 versus Ha: > 0. If we calculate a test statistic of = 0.6, then my p-value will be closest to 0.003 0.300 0.600 0.950 When estimating , the proportion of voting age citizens who will vote for Candidate A, political researchers calculate the 90% confidence interval (0.67, 0.73). If we were to also test the hypotheses H0: = 0.666 versus Ha: 0.666 using a significance level of = 0.10, we would decide to accept H0. reject H0. not reject...
Perform a hypothesis test for the following sample. The significance level alpha is 5%. Sample: 7.9,8.3,8.4, 9.6,7.7, 8...
Perform a hypothesis test for the following sample. The significance level alpha is 5%. Sample: 7.9,8.3,8.4, 9.6,7.7, 8.1, 6.8,7.5,8.6,8,7.8,7.4,8.4,8.9,8.5,9.4,6.9,7.7. Test if mean 8.7. Assume normality of the data. 1 Formulate the hypothesis by entering the corresponding signs:"<" ">", "-" or "メ" and numbers. Hint: in your answers use "<>" instead of " " HO: mean H1:mean 2 p-value (rounded to three decimal places) 3 Conclusions, based on the results, which of the following options is correct: A Reject H0 and...
A 95% confidence interval for a population mean was calculated. The sample mean was found to...
A 95% confidence interval for a population mean was calculated. The sample mean was found to be 34.5 and the MOE was found to be 4.06 giving us a confidence interval of 34.5±4.06 or equivalently written as 30.44 to 38.56. (a) For the hypotheses H0:?=30 Ha:??30, would you reject the null hypothesis at the 5% level of significance (i.e. ? = 0.5)? (Type: YES or NO or CANNOT TELL): (b) For the hypotheses H0:?=41 Ha:??41, would you reject the null...
The weight of steel pieces has been measured. The goal is to test H0 : µ...
The weight of steel pieces has been measured. The goal is to test H0 : µ = 5 against H1 : µ > 5. The weights follow a normal distribution with variance 16. With a sample of size of n = 25, H0 is rejected if x > 6. If the true population mean is 5.2, what is the probability of committing an error of Type II?
Suppose you want to test H0 : µ = 4 against Ha : µ > 4....
Suppose you want to test H0 : µ = 4 against Ha : µ > 4. In addition, suppose that σ = 5, n = 36, and you will reject H0 if x > 5 and accept H0 otherwise. (a) (6 pts) Find the power of this test against the alternative µ = 5.6. (b) (2 pts) Find the probability of a Type II error in this situation (just use your answer from part (a) to help you do this).
We would like to conduct a hypothesis test to determine whether the true mean rent amount...
We would like to conduct a hypothesis test to determine whether the true mean rent amount for all one-bedroom apartments in Winnipeg differs from $850. We take a random sample of 50 one-bedroom apartments and calculate the sample mean to be $900. A 98% confidence interval for μ is calculated to be (830, 970). The conclusion for our test would be to: Question 8 options: A) fail to reject H0 at the 2% level of significance since the value 850...
For a test of a mean, which of the following is incorrect? A) If H0: μ...
For a test of a mean, which of the following is incorrect? A) If H0: μ ≤ 100 and H1: μ > 100, then the test is right-tailed. B) H0 is rejected when the calculated p-value is less than the critical value of the test statistic. C) The critical value is based on the researcher's chosen level of significance. D) In a right-tailed test, we reject H0 when the test statistic exceeds the critical value.
1. Given a normal population which has a mean of 140 and a standard deviation of...
1. Given a normal population which has a mean of 140 and a standard deviation of 21, find the probability that a random sample of 100 has a mean between 138 and 145. 2. If all possible samples of size n are drawn from an infinite population with standard deviation 8, then the standard error of the sample mean equals 1.0 if the sample size is 64. a. true b. false 3. You have completed an hypothesis test and determine...
Chapter 4, Section 5, Exercise 160 Hypotheses for a statistical test are given, followed by several...
Chapter 4, Section 5, Exercise 160
Hypotheses for a statistical test are given, followed by several
possible confidence intervals for different samples. In each case,
use the confidence interval to state a conclusion of the test for
that sample and give the significance level used. In addition, in
each case for which the results are significant, state which group
(1 or 2) has the larger mean.
Hypotheses: H0:μ1=μ2 vs Ha:μ1≠μ2
(a) 95% confidence interval for μ1-μ2: 0.15 to 0.55
Conclusion:...
Perform a hypothesis test for the following sample. The significance level alpha is 5%. Sample: 7.9,8.3,8.4, 9.6,7.7, 8.1, 6.8,7.5,8.6,8,7.8,7.4,8.4,8.9,8.5,9.4,6.9,7.7. Test if mean 8.7. Assume normality of the data. 1 Formulate the hypothesis by entering the corresponding signs:"<" ">", "-" or "メ" and numbers. Hint: in your answers use "<>" instead of " " HO: mean H1:mean 2 p-value (rounded to three decimal places) 3 Conclusions, based on the results, which of the following options is correct: A Reject H0 and...
Chapter 4, Section 5, Exercise 160
Hypotheses for a statistical test are given, followed by several
possible confidence intervals for different samples. In each case,
use the confidence interval to state a conclusion of the test for
that sample and give the significance level used. In addition, in
each case for which the results are significant, state which group
(1 or 2) has the larger mean.
Hypotheses: H0:μ1=μ2 vs Ha:μ1≠μ2
(a) 95% confidence interval for μ1-μ2: 0.15 to 0.55
Conclusion:...
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