decided to proceed with production unless it can be determined that p is too large; the borderline acceptable value of p is specified as 0.10. The manufacturer decides to subject n of these faucets to accelerated esting (approximating 2 years of normal use). With X = the number among the n faucets that leak before the test concludes, production will commence unless the observed X is too large. It is decided that if = 0.10, the probability of not proceeding should be at most 0.10, whereas if p = 0.30 the probability of proceeding should be at most 0.10. (Assume the rejection region takes the form reject Ho if X 2 cfor some . Round your answers to three decimal places.) What are the error probabilities for n = 10? n USE SALT P-value = 0.07

decided to proceed with production unless it can be determined that p is too large; the borderline acceptable value of p is specified as 0.10. The manufacturer decides to subject n of these faucets to accelerated esting (approximating 2 years of normal use). With X = the number among the n faucets that leak before the test concludes, production will commence unless the observed X is too large. It is decided that if = 0.10, the probability of not proceeding should be at most 0.10, whereas if p = 0.30 the probability of proceeding should be at most 0.10. (Assume the rejection region takes the form reject Ho if X 2 cfor some . Round your answers to three decimal places.) What are the error probabilities for n = 10? n USE SALT P-value = 0.07

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

In performing a hypothesis test where the null hypothesis is that the population mean is 4.8 against the alternative hypothesis that the population mean is not equal to 4.8, a random sample of 25 items is selected. The sample mean is 4.1 and the sample standard deviation is 1.4. It can be assumed that the population is normally distributed. The level of significance is selected to be 0.10. The critical value found in the "t" table "t" for this problem is??? a.1.711 b.2.492 c.2.797 d.3.227 e.1.318
The desired percentage of SiO₂ in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO₂ in a sample is normally distributed with = 0.32 and that x = 5.23. (Use a = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses. O Ho: μ = 5.5 H₂:μ> 5.5 O Ho: μ = 5.5 H₂: μ = 5.5 ⒸHO: μ = 5.5 H₂:μ ≥ 5.5 O Ho: μ = 5.5 H₂: μ< 5.5 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = State the conclusion in the problem context. O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true verage percentage differs from the desired percentage. O Reject the null hypothesis. There is not sufficient evidence to…
If a sample of n = 25 scores is selected from a normal population with µ = 100 and σ = 20, then the sample mean is expected to be around M = 100. Find the exact range of values that will contain the sample mean 80% of the time.
If, in a sample of n = 25 selected from a normal population, X= 60 and S= 10, what is your statistical decision if the level of significance, a, is 0.01, the nullI hypothesis, Ho, is µ= 50, and the alternative hypothesis, H,, is µ# 50? Click here to view page 1 of the table of the critical values of t Click here to view page 2 of the table of the critical values of t. -... Determine the critical value(s). The critical value(s) is(are). (Round to four decimal places as needed. Use a comma to separate answers as needed.)
You are performing a right-tailed test.If α=.01α=.01, find the critical value, to three decimal places.zα =
Typically, the probability of obtaining the calculated statistical result will be less than when the results are significant. a. the critical F value b. alpha c. the P value d. the calculated F value
Consider the problem of diagnosing a rare disease. Let’s say the occurrence of thisdisease is one in a thousand i.e. P(D = +) = 0.001. There is a test T which correctlyidentifies the disease 99.9% of the time, i.e. P(T = +|D = +) = 0.999. However, italso has a false positive rate of 0.02, i.e. P(T = +|D = −) = 0.02 i. If a random person from the population is tested, what is the probability they willreceive a positive test, i.e. P(T = +)? ii. Given that the test is positive, what is the probability that the person has the disease,i.e. P(D = +|T = +)?
Assuming α= 0.05, what is the critical t value for the following distributions: df = 10, two-tailed test 2. df = 30, one tailed (lower tail) 3. df = 15, one tailed (upper tail)
A random sample of n = 25 scores is selected from a normal population with a mean of μ = 40. After a treatment is administered to the individuals in the sample, the sample mean is found to be M = 44. If the population standard deviation is σ = 5, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a one-tailed test with α = .05.Calculate the Cohen’s d.
If, in a sample of n=20 selected from a normal population, X = 54 and S = 12, what is your statistical decision if the level of significance, a is 0.01, the null hypothesis, Ho. is i = 50, and the alternative hypothesis, H, is #502 Click here to view page 1 of the table of the critical values of t. Click here to view page 2 of the table of the critical values oft. Determine the critical value(s). The critical value(s) is(are)| (Round to four decimal places as needed. Use a comma to separate answers as needed.)
Researchers analyze a new portable radiocarbon dating machine and determine that the machine will correctly predict the age of an archaeological object within established tolerances 70% of the time. The machine's inventor wants to test this claim, believing that her machine correctly predicts age at a greater rate. Let p represent the proportion of times that the new portable radiocarbon dating machine correctly determines the age of an archaeological object to within the established tolerances. The inventor's null and alternative hypotheses are as follows. Но : р 0.70 На : р> 0.70 The inventor takes a random sample of n = 100 archaeological objects for which the age is already known and uses her machine to determine the age of each object. The machine correctly determines the age of 78 of the objects in the sample. What is the value of the standardized test statistic? (Round to 2 decimal places)