3. You are testing H0: u 500 against Ha: u < 500 based on an SRS...

Question

Question

Answer 1

Answer #1

3)

We know that the t-statistic is given by:

$t=\frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}=\frac{498-500}{\frac{4}{\sqrt{16}}}=-2$

Hence option C is the correct option.

Answer 2

Similar Homework Help Questions

You are testing H0: u=100 against HA: u>100 based on an SRS of 16 observations from...

You are testing H0: u=100 against HA: u>100 based on an SRS of 16 observations from a Normal population. The t-statistic is t = 2.13 1. The degrees for the t statistic are: A. 15 B. 16. C. 17 2. The p-value for the statistic in the previous exercise: A. falls between 0.05 and 0.10 B. falls between 0.01 and 0.05 C. is less than 0.01
You are testing H0: μ = 100 against Ha: μ < 100 based on an SRS of 21 observations from a Normal population

You are testing H0: μ = 100 against Ha: μ < 100 based on an SRS of 21 observations from a Normal population. The data give x̄ = 9.1 and s = 3.6. The value of the t statistic (±0.01) is _______
QUESTION 1: You are testing H0: µ = 100 against Ha: µ < 100 based on...

QUESTION 1: You are testing H0: µ = 100 against Ha: µ < 100 based on an SRS of 18 observations from a Normal population. The data give x¯¯¯x¯ = 8.3 and s = 5. The value of the t statistic (±0.01) is QUESTION 2: You have an SRS of 14 observations from a Normally distributed population. What critical value (±±0.001) would you use to obtain a 99.5% confidence interval for the mean μμ of the population?

Consider testing Ho: u = 20 against Ha: u< 20 where u is the mean number...

Consider testing Ho: u = 20 against Ha: u< 20 where u is the mean number of latex gloves used per week by all hospital employees, based on the summary statistics n = 47, X = 19.2, and s = 11.5. Complete parts a and b. a. Compute the p-value of the test. The p-value of the test is . (Round to four decimal places as needed.) b. Compare the p-value with a = 0.05 and make the appropriate conclusion....
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...
need help: Suppose that you are testing the hypotheses H0 με 16 vs. HA: μ< 16....

need help: Suppose that you are testing the hypotheses H0 με 16 vs. HA: μ< 16. A sample of size 16 results in a sample mean of 15.5 and a sample standard deviation of 20 a) What is the standard error of the mean? b) What is the critical value of t* for a 90% confidence interval? c) Construct a 90% confidence interval for μ. d) Based on the confidence interval, at α#0.05 can you reject Ho? Explain. a) The...

9 Test the null hypothesis Ho : u = 3.0against the alternative hypothesis HA: U < 3.0 , based on a random sample of 2...

9 Test the null hypothesis Ho : u = 3.0against the alternative hypothesis HA: U < 3.0 , based on a random sample of 25 observations drawn from a normally distributed population with ū = 2.8 and o = 0.70. a) What is the value of the test statistic? Round your response to at least 3 decimal places. Number b) What is the appropriate p-value? Round your response to at least 3 decimal places. Number c) Is the null hypothesis...
You will perform a significance test of H0: μ = 19 based on an SRS of...

You will perform a significance test of H0: μ = 19 based on an SRS of n = 25. Assume that σ = 13. Step 1: If x = 23, what is the test statistic z to 2 decimal places? Step 2: What is the P-value if Ha: μ > 19? Give your answer to 4 decimal places. Step 3: What is the P-value if Ha: μ ≠ 19? Give your answer to 4 decimal places.
{Exercise 9.09 (Algorithmic).} Consider the following hypothesis test: Ho: u 20 Ha: p < 20 A...

{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...

(15 points) The t statistic for a test of Ho : 4 = 47 Ha: u...

(15 points) The t statistic for a test of Ho : 4 = 47 Ha: u > 47 based on n = 17 observations has the value t = 1.61. (a) What are the degrees of freedom for this statistic? 16 (b) Using the appropriate table in your formula packet, bound the p-value as closely as possible: <p-value <