A rivet is to be inserted into a hole. A random sample of n = 18 is selected and the hole diameteris measured. The hole diameter is assumed to be normally distributed. The sample variance ofthe hole diameter of these 18 samples is s? = (0.023)? mm?. Construct a 99% two-sidedconfidence interval on the true o of the hole diameter. Provide an interpretation on your result.

Obtain the 99% confidence interval for the true population standard deviation of the hole diameter.…

Answered: A rivet is to be inserted into a hole.…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.10 significance level to test for a difference between the measurements from the two arms. Identify the test statistic and p-value. Right arm Left arm 144 167 OA.T-3.07, p-value = 0.037 OB. T = -2.32, p-value = 0.081 OC. T = -1.93, p-value = 0.127 OD. T = -4.01, p-value = 0.016 133 161 132 179 138 145 136 144
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.7 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 810 samples is 6.6 ppm. Assume the variance is known to be 1.00. Does the data support the claim at the 0.02 level? Step 1 of 5: Enter the hypotheses: Answer 2 Points E Keypad Keyboard Shortcuts Họ: Prev Ne: © 2020 Hawkes Learning MacBook Air 80 888 DII DD F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 ! @ %23 & 1 2 3 4 %3D Q W E T Y { P A S D F G H J K C M ? on command command option .. .- V - * 00 B.
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.8 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 242samples is 5.2 ppm with a variance of 1.001.00. Does the data support the claim at the 0.05 level? Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places. Specify if the test is one-tailed or two-tailed. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places. Make the decision to reject or fail to reject the null hypothesis.
Given the following probabilities, which event is least likely to occur? P(A) = 1/5 P(B) = 0.23 P(C) = 25% P(D) = 1/3
Suppose that you plot the residuals for your sample and get Figure 2. You should conclude that Select one: a. possibly homoskedastic and you would perform a correction for homoskedasticity. b. likely homoskedastic. c. possibly heteroskedastic and you would perform a formal test for heteroskedasticity. d. definitely heteroskedastic.
Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"
We want to estimate the mean distance travelled to work by employees of a large manufacturing firm. Past studies indicate that the variance of these distances is 4.0 km2and that the distances follow a normal distribution. How many employees should be chosen at random and polled if the estimated mean distance is to be within 0.1 km ofthe true mean with a confidence level of 95%?
The average score on a statistics test was 2.21 with a standard deviation of 0.88. The teacher suspects that the exam was very difficult; Based on the above, you want to adjust the scores so that the mean is 3.37 and the standard deviation is 0.25. Compute the values a and b such that the fit of type aX+b gives the desired mean and variance? Calculate: a= Answer b= Answer TIP: Use expected value and variance properties.
A sample of n = 64 scores has a mean of M = 45 and an estimated standard error of 3 points. What is the sample variance? Select one: a. s2 = 113 b. s2 = 576 c. s2 = 498 d. s2 = 502
A random sample of vehicle speeds were collected. Use the data to test the claim that the mean vehicle speed is more than 40 mph. Use a 0.05 level of significance. Sample data: x¯=42 mphs=7 mphn=34 Identify the tail of the test. Find the P-value Will the null hypothesis be rejected? Is the initial claim supported?
A researcher wants to know if male and female college students differ with regard to their GPAs. She randomly gets 16 male and 16 female college students to report their GPAs. The males reported a mean GPA of 3.05 with a SS = 3.75. The females reported a mean GPA of 3.1 with a SS = 2.4. You are going to be conducting an independent samples t-test. Compute the independent samples t-statistic:
Q5. A random sample of size n = 10 from a normal population has mean = 5.68 and a standard deviation s = 0.29. Construct a 95% C.I. for the true variance o? of the population.

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