Homework Answers
Since Mike has rejected the null hypothesis, it means that the p-value obtained from his hypothesis test has yielded a value, which is less than the 0.05 significance level. Hence, according to the definition of p-value, our correct answer is: The probability that H0 is true is less than or equal to 0.05.
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Using a random sample of 28 observations from a normally distributed population, Mike tested the null...
A random sample of 100 observations from a population with standard deviation 63 yielded a sample...
A random sample of 100 observations from a population with standard deviation 63 yielded a sample mean of 111. Complete parts a through c. a. Test the null hypothesis that y 100 against the alternative hypothesis that > 100, using a 0.05. Interpret the results of the test. Ho is rejected Ho is not rejected O Interpret the results of the test. Choose the correct interpretation below. O A. There is sufficient evidence to indicate the true population mean is...
Suppose a random sample of 100 observations from a binomial population gives a value of p...
Suppose a random sample of 100 observations from a binomial population gives a value of p = 0.45 and you wish to test the null hypothesis that the population parameter p is equal to 0.40 against the alternative hypothesis that p is greater than 0.40. Complete parts a through c. a. Noting that p = 0.45, what does your intuition tell you? Does the value of p appear to contradict the null hypothesis? O A. Yes, because p satisfies Hg:p>0.40...
19 25 The sample of six measurements shown below was randomly selected from a normally distributed...
19 25 The sample of six measurements shown below was randomly selected from a normally distributed population. Complete parts a through c. 1,2,3,3,4,1 a. Test the null hypothesis that the mean of the population is 3 against the alternative hypothesis. p < 3. Use a = 0.05 Ifq=0.05, find the rejection region for the test. Choose the correct answer below. % 1994 1994 OA. <-2015 or t> 2015 Oct-2571 O E. > 2571 OB < -2015 OD < -2571 ort...
A random sample of size n= 15 obtained from a population that is normally distributed results...
A random sample of size n= 15 obtained from a population that is normally distributed results in a sample mean of 45.8 and sample standard deviation 12.2. An independent sample of size n = 20 obtained from a population that is normally distributed results in a sample mean of 51.9 and sample standard deviation 14.6. Does this constitute sufficient evidence to conclude that the population means differ at the a = 0.05 level of significance? Click here to view the...
A simple random sample of szen 15 is drawn from a population that is normally distributed....
A simple random sample of szen 15 is drawn from a population that is normally distributed. The sample mean is found to be x 20.1 and the sample standard deviation is found to be 3 6.3. Determine if the population mean is different from 26 at the 0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses. Ho H (b) Calculate the P-value P-value (Round to three decimal places as needed.) (c) State...
A random sample of 100 observations from a population with standard deviation 76 yielded a sample...
A random sample of 100 observations from a population with standard deviation 76 yielded a sample mean of 114. Complete parts a through c below. a. Test the null hypothesis that u = 100 against the alternative hypothesis that u > 100, using a = 0.05. Interpret the results of the test. What is the value of the test statistic? und to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.) State...
The observations from a random sample of n = 6 from a normal population are: 13.15,...
The observations from a random sample of n = 6 from a normal population are: 13.15, 13.72, 12.58, 13.77, 13.01, 13.06. Test the null hypothesis of H0:μ=13 against the alternative hypothesis of H1:μ<13. Use a 5% level of significance. Answer the following, rounding off your answer to three decimal places. (a) What is the sample mean? (b) What is the sample standard deviation? (c) What is the test statistic used in the decision rule? (d) Can the null hypothesis be...
The following observations are from two independent random samples, drawn from normally distribut...
The following observations are from two independent random samples, drawn from normally distributed populations. Sample 1 9.74, 9.04, 8.06, 6.09, 7.51 Sample 2 |[25.96, 26,27, 26,34, 39.09, 33.88, 28.87, 33.46] We are interested in testing the null hypothesis that the two population variances are equal, against the one-sided alternative that the variance of Population 1 is larger than the variance of Population 2. Define Population 1 to be the population with the larger sample variance a) What are the appropriate...
To test Ho: u = 20 versus Hy: u<20, a simple random sample of size n= 16 is obtained from a population that is known...
To test Ho: u = 20 versus Hy: u<20, a simple random sample of size n= 16 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). Click here to view the t-Distribution Area in Right Tail. (a) If x = 18.1 and s = 4.1, compute the test statistic. t (Round to two decimal places as needed.) (b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs...
> 9.9, based on a random sample of 71 observations drawn from a Test the null...
> 9.9, based on a random sample of 71 observations drawn from a Test the null hypothesis Ho: M=9.9against the alternative hypothesis HA: normally distributed population with Z = 4.1 and 0 = 0.89. a) What is the value of the test statistic? Give your response to at least 3 decimal places. Number b) What is the appropriate p-value? Give your response to at least 3 decimal places. Number c) Is the null hypothesis rejected at: i) the 10% level...
A random sample of 100 observations from a population with standard deviation 63 yielded a sample mean of 111. Complete parts a through c. a. Test the null hypothesis that y 100 against the alternative hypothesis that > 100, using a 0.05. Interpret the results of the test. Ho is rejected Ho is not rejected O Interpret the results of the test. Choose the correct interpretation below. O A. There is sufficient evidence to indicate the true population mean is...
Suppose a random sample of 100 observations from a binomial population gives a value of p = 0.45 and you wish to test the null hypothesis that the population parameter p is equal to 0.40 against the alternative hypothesis that p is greater than 0.40. Complete parts a through c. a. Noting that p = 0.45, what does your intuition tell you? Does the value of p appear to contradict the null hypothesis? O A. Yes, because p satisfies Hg:p>0.40...
19 25 The sample of six measurements shown below was randomly selected from a normally distributed population. Complete parts a through c. 1,2,3,3,4,1 a. Test the null hypothesis that the mean of the population is 3 against the alternative hypothesis. p < 3. Use a = 0.05 Ifq=0.05, find the rejection region for the test. Choose the correct answer below. % 1994 1994 OA. <-2015 or t> 2015 Oct-2571 O E. > 2571 OB < -2015 OD < -2571 ort...
A random sample of size n= 15 obtained from a population that is normally distributed results in a sample mean of 45.8 and sample standard deviation 12.2. An independent sample of size n = 20 obtained from a population that is normally distributed results in a sample mean of 51.9 and sample standard deviation 14.6. Does this constitute sufficient evidence to conclude that the population means differ at the a = 0.05 level of significance? Click here to view the...
A simple random sample of szen 15 is drawn from a population that is normally distributed. The sample mean is found to be x 20.1 and the sample standard deviation is found to be 3 6.3. Determine if the population mean is different from 26 at the 0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses. Ho H (b) Calculate the P-value P-value (Round to three decimal places as needed.) (c) State...
A random sample of 100 observations from a population with standard deviation 76 yielded a sample mean of 114. Complete parts a through c below. a. Test the null hypothesis that u = 100 against the alternative hypothesis that u > 100, using a = 0.05. Interpret the results of the test. What is the value of the test statistic? und to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.) State...
The following observations are from two independent random samples, drawn from normally distributed populations. Sample 1 9.74, 9.04, 8.06, 6.09, 7.51 Sample 2 |[25.96, 26,27, 26,34, 39.09, 33.88, 28.87, 33.46] We are interested in testing the null hypothesis that the two population variances are equal, against the one-sided alternative that the variance of Population 1 is larger than the variance of Population 2. Define Population 1 to be the population with the larger sample variance a) What are the appropriate...
To test Ho: u = 20 versus Hy: u<20, a simple random sample of size n= 16 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). Click here to view the t-Distribution Area in Right Tail. (a) If x = 18.1 and s = 4.1, compute the test statistic. t (Round to two decimal places as needed.) (b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs...
> 9.9, based on a random sample of 71 observations drawn from a Test the null hypothesis Ho: M=9.9against the alternative hypothesis HA: normally distributed population with Z = 4.1 and 0 = 0.89. a) What is the value of the test statistic? Give your response to at least 3 decimal places. Number b) What is the appropriate p-value? Give your response to at least 3 decimal places. Number c) Is the null hypothesis rejected at: i) the 10% level...
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