Homework Answers
Answer is option A
Made a type I error
In statistics, a type I error for hypothesis testing is related to the rejection of a true null hypothesis. It also referred to as a "false positive" finding or conclusion.
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For the following hypothesis test, where Ho S 10. vs. Hau > 10, we reject Ho...
Consider a hypothesis test (Ho: u = 10 vs H,:u > 10) on mean of a...
Consider a hypothesis test (Ho: u = 10 vs H,:u > 10) on mean of a normal population with variance known at significance level a = 0.05. Calculate P-value for each of the following test statistics and draw conclusion on whether to reject the null hypothesis. (a) zo = 2.05 (b) zo = -1.84 = 0.4 (c) zo
please show your work...................... The level of significance can be: 10. a. any number between -1.0...
please show your work......................
The level of significance can be: 10. a. any number between -1.0 and 1.0 b. any number greater than zero c. any number greater than 1.96 or less than -1.96. d. None of these choices 11. a. b. c. d. Which of the following is an appropriate null hypothesis? The mean of a population is equal to 60. The mean of a sample is equal to 60 The mean of a population is not equal to...
Question 8 (1 point) A test is made of Ho: mean = 119 versus Hy: mean...
Question 8 (1 point) A test is made of Ho: mean = 119 versus Hy: mean < 119. The true value of the mean is 103, and Ho is rejected. Is this a Type I error, Type II error, or a correct decision? O Correct decision Type Il error Type I error Question 9 (1 point) A test is made of Ho: mean = 0.94 versus H: mean > 0.94. The true value of the mean is 0.94, and Ho...
Question 6 (1 point) A test is made of Ho: mean = 27 versus Hi: mean...
Question 6 (1 point) A test is made of Ho: mean = 27 versus Hi: mean < 27. The true value of the mean is 27, and Ho is rejected. Is this a Type I error, Type II error, or a correct decision? Type I error Type II error Correct decision O Question 7 (1 point) A test is made of Ho: mean = 71 versus Hii mean < 71. The true value of the mean is 35, and Ho...
3. Suppose that we are testing Ho: u = 80 vs. Ha: u <80 at the...
3. Suppose that we are testing Ho: u = 80 vs. Ha: u <80 at the .05 level and we are going to collect 10 pieces of data and o=1.2. Determine the probability of Type Il error for the alternative kl. = 79.25. ANSWER 4. Company A claims that their tires outlast the tires of Company B by more than 12.000 miles. We feel certain that Il = 62,000 ,- 5,100. Data for Company A is collected and summarized: Company...
In order to conduct a hypothesis test for the population mean, a random sample of 28...
In order to conduct a hypothesis test for the population mean, a random sample of 28 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 17.9 and 1.5, respectively. (You may find it useful to reference the appropriate table: z table or t table). HO: MS 17.5 against HA: > 17.5 a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal places and...
In order to conduct a hypothesis test for the population mean, a random sample of 28...
In order to conduct a hypothesis test for the population mean, a random sample of 28 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 17.9 and 1.5, respectively. (You may find it useful to reference the appropriate table: z table or t table) H0 : μ 17.5 against HA: μ > 17.5 a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal...
A type I error is where we reject a true null hypothesis (Ho). a. True b....
A type I error is where we reject a true null hypothesis (Ho). a. True b. False A type II error is where we fail to reject a false null hypothesis (Ho). a. True b. False A claim may go in either in the Ho (null hypothesis) or Ha (H1, alternate hypothesis) depending on the key words in the statistical word problem. a. True b. False
In order to conduct a hypothesis test for the population mean, a random sample of 20...
In order to conduct a hypothesis test for the population mean, a random sample of 20 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 12.9 and 2.4, respectively. (You may find it useful to reference the appropriate table: z table or ttable). Ho : μ 12.1 against HA: μ > 12.1 a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal places...
In order to conduct a hypothesis test for the population proportion, you sample 300 observations that...
In order to conduct a hypothesis test for the population proportion, you sample 300 observations that result in 111 successes. (You may find it useful to reference the appropriate table: z table or t table) HO : p o.41; HA p< 0.41. 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 statistic a-2. Find the...
Consider a hypothesis test (Ho: u = 10 vs H,:u > 10) on mean of a normal population with variance known at significance level a = 0.05. Calculate P-value for each of the following test statistics and draw conclusion on whether to reject the null hypothesis. (a) zo = 2.05 (b) zo = -1.84 = 0.4 (c) zo
please show your work......................
The level of significance can be: 10. a. any number between -1.0 and 1.0 b. any number greater than zero c. any number greater than 1.96 or less than -1.96. d. None of these choices 11. a. b. c. d. Which of the following is an appropriate null hypothesis? The mean of a population is equal to 60. The mean of a sample is equal to 60 The mean of a population is not equal to...
Question 8 (1 point) A test is made of Ho: mean = 119 versus Hy: mean < 119. The true value of the mean is 103, and Ho is rejected. Is this a Type I error, Type II error, or a correct decision? O Correct decision Type Il error Type I error Question 9 (1 point) A test is made of Ho: mean = 0.94 versus H: mean > 0.94. The true value of the mean is 0.94, and Ho...
Question 6 (1 point) A test is made of Ho: mean = 27 versus Hi: mean < 27. The true value of the mean is 27, and Ho is rejected. Is this a Type I error, Type II error, or a correct decision? Type I error Type II error Correct decision O Question 7 (1 point) A test is made of Ho: mean = 71 versus Hii mean < 71. The true value of the mean is 35, and Ho...
3. Suppose that we are testing Ho: u = 80 vs. Ha: u <80 at the .05 level and we are going to collect 10 pieces of data and o=1.2. Determine the probability of Type Il error for the alternative kl. = 79.25. ANSWER 4. Company A claims that their tires outlast the tires of Company B by more than 12.000 miles. We feel certain that Il = 62,000 ,- 5,100. Data for Company A is collected and summarized: Company...
In order to conduct a hypothesis test for the population mean, a random sample of 28 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 17.9 and 1.5, respectively. (You may find it useful to reference the appropriate table: z table or t table). HO: MS 17.5 against HA: > 17.5 a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal places and...
In order to conduct a hypothesis test for the population mean, a random sample of 28 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 17.9 and 1.5, respectively. (You may find it useful to reference the appropriate table: z table or t table) H0 : μ 17.5 against HA: μ > 17.5 a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal...
In order to conduct a hypothesis test for the population mean, a random sample of 20 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 12.9 and 2.4, respectively. (You may find it useful to reference the appropriate table: z table or ttable). Ho : μ 12.1 against HA: μ > 12.1 a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal places...
In order to conduct a hypothesis test for the population proportion, you sample 300 observations that result in 111 successes. (You may find it useful to reference the appropriate table: z table or t table) HO : p o.41; HA p< 0.41. 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 statistic a-2. Find the...
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