2. A U.S. Web Usage Snapshot indicated a monthly average of 36 internet visits per user from home. A random sample of 29 internet users yielded a sample mean of 38.2 visits with a standard deviation of 5.3. At the 0.05 level of significance, can it be concluded that this differs from the national average? Assume the population is normally distributed.**Step 1: State the hypotheses and claim**- $ H_0: \mu = 36 $- $ H_1: \mu \neq 36 $ (CLAIM)**Step 2: Critical value(s):** $ t = \pm 2.048 $**Step 3: Test value:** $ t = 2.235 $**Step 4: Make the decision:***(Decision box is empty)***Step 5: Summarize your results:**There is not enough evidence to support the claim that ...**Diagram Explanation:**The image includes a diagram of a bell curve, which represents the normal distribution. It is centered on the x-axis and likely indicates the distribution of the test statistic. The curve illustrates how data is distributed around the mean, showing the critical region beyond the critical value(s).

sample size(n)=29Mean()=38.2standard deviation(s)=5.3significance level()=0.05claim is that the…

Answered: A U.S. Web Usage Snapshot indicated a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Similar questions

The Toylot company makes an electric train with a motor that it claims will draw an average of no more than 0.8 amps under a normal load. A sample of nine motors were tested, and it was found that the mean current was x = 1.32 amps, with a sample standard deviation of s = 0.44 amps. Perform a statistical test of the Toylot claim. (Use a 1% level of significance.)What are we testing in this problem? single meansingle proportion What is the level of significance?State the null and alternate hypotheses. H0: p = 0.8; H1: p ≠ 0.8H0: p ≤ 0.8; H1: p > 0.8 H0: ? ≤ 0.8; H1: ? > 0.8H0: ? ≠ 0.8; H1: ? = 0.8H0: p ≠ 0.8; H1: p = 0.8H0: ? = 0.8; H1: ? ≠ 0.8 What sampling distribution will you use? What assumptions are you making? The standard normal, since we assume that x has a normal distribution with known ?.The Student's t, since we assume that x has a normal distribution with known ?. The standard normal, since we assume that x has a normal distribution with unknown ?.The…
The state's education secretary claims that the average cost of one year's tuition for all private high schools in the state is $2350. A sample of 30 private high schools is selected, and the average tuition is $2315. The standard deviation for the population is $38. At α = 0.05, is there enough evidence to reject the claim that the average cost of tuition is equal to $2350?
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
A population has a mean μ = 73 and a standard deviation o = 28. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 257. Hx ox (Simplify your answer.) (Type an integer or decimal rounded to three decimal places as needed.)
Bo is buying some nails for a project. They are interested in whether the boxes are significantly lighter than advertised. The company says the box of nails should weigh 10 lbs but Bo finds the average weight of 8 boxes is 9.8 lbs with a standard deviation of .4 lbs. Assume an alpha of .10.
Under what circumstances can a very small treatment effect be statistically significant?a. With a large sample and a large standard deviationb. With a large sample and a small standard deviationc. With a small sample and a large standard deviationd. With a small sample and a small standard deviation
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.6 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 14 samples is 4.9 ppm with a variance of 1.2 Does the data support the claim at the 0.01 level? Assume the population distribution is approximately normal. Step 2 of 5 : Find the value of the test statistic. Round your answer to three decimal places.
A lumber company is making boards that are 2900 millimeters tall. If the boards are too long they must be trimmed, and if they are too short they cannot be used. A sample of 35 boards is taken, and it is found that they have a mean of 2900.3 millimeters. Assume a population standard deviation of 8. Is there evidence at the 0.01 level that the boards are either too long or too short? Step 2 of 3 : Find the P-value for the hypothesis test. Round your answer to four decimal places.
Question4: The times for untrained rats to run a standard maze has a normal distribution where the times are measured in seconds. The researcher hopes to show that training improves the times. A sample of 9 rats were selected and the time to run a standard maze before and after training were measured in seconds and shown below. Does the data support the researcher’s hypothesis? Conduct a hypothesis test at 5% significant level (specify 4 steps).
Question 20. part b. Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at rural hospitals have a lower waiting time? The 14 randomly selected patients who went to the emergency room at rural hospitals waited an average of 5.8 hours to be admitted into the hospital. The standard deviation for these 14 patients was 1.7 hours. What can be concluded at the the αα = 0.05 level of significance level of significance? C.)The test statistic ?, z or t = ____ (please show your answer to 3 decimal places.) D.)The p-value = ______ (Please show your answer to 4 decimal places.) E.) The p-value is ?, ≤ , > α

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