A normal population has mean u (unknown) and variance 9. A sample of size 9 observations has been taken and its variance is found to be 5.4. Test the null hypothesis H,: o = 9 against H: o > 9 at 5% level of significance.
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Q: An engineer has designed a valve that will regulate water pressure on an automobile engine. The…
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A: Answer The mean = 11.4The population mean =11.0The variance =1.96The standard deviation = sqrt…
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Q: An engineer has designed a valve that will regulate water pressure on an automobile engine. The…
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- Two pain-relieving drugs were compared for effectiveness on the basis of length of time elapsing between administration of the drug and cessation of pain. Thirteen patients received drug 1, and 13 received drug 2. The sample variances were = 64 and = 16. Test the null hypothesis that the two populations variances are equal. Let α = .05.A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test Ho: H = 175 millimeters versus H: u > 175 millimeters using the results of n 10 samples. %3D Identify the appropriate hypotheses tests O a. Test on Mean, Variance Known O b. Test on Population Proportion Oc. Test on Variance and Standard Deviation Od. Test on Mean, Variance UnknownA manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 433 gram setting. It is believed that the machine is underfilling the bags. A 26 bag sample had a mean of 427 grams with a variance of 324. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.
- Using traditional methods, it takes 11.7 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 12students and observed that they had a mean of 12.1 hours with a variance of 1.96. A level of significance of 0.05 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. State the null and alternative hypotheses. what is H0 and HA?The blood pressure and weight of Jellystone Park bears are correlated with and .6 is the correlation coefficient of blood pressure with weight. The average blood pressure is 150 with variance 100, for Jellystone Park bears. For a randomly selected bear with average weight if we predict its blood pressure is 150 after weighing it, using SLR, what is our expected squared error?For a two-sided test of hypothesis of a single parameter with population variance known, for a given a =0.05, the Z_a/2 value is 1.96. If the test statistic is 1.8, what is the p-value?
- A professor believes that the variance of ACT composite scores of honor students is less than that of all students who take the ACT. The sample variance of the ACT composite scores for a random sample of 15 honors students is 10.7. The sample variance of the ACT composite scores for a random sample of 18 other students is 24.2 Assume that both population distributions are approximately normal and test the professor’s claim using a 0.10 level of significance. Does the evidence support the professor’s claim? Let honor students be Population 1 and let students in general be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. H0: σ21=σ22 Ha: σ21⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯σ22 Step 2 of 3: Compute the value of the test statistic. Round your answer to four decimal places. Step 3 of 3: Draw a conclusion and interpret the decision.A therapist would like to evaluate an intervention for treating depression. A sample of n = 20 depressed clients is obtained, and each person’s level of depression is measured using a standardized questionnaire before they begin the therapy program. Two weeks after therapy, each client’s level of depression is measured again. The average level of depression dropped by 4.0 points following therapy. The difference scores had a variance of 64. Identify and Cclculate the appropriate test statistic.Make sure to report the degrees of freedom for the statistical test (if appropriate). You must show your work to receive full credit. State your conclusions (use a two-tailed test with a = .05 for all tests). Compute an effect size.When creating a two sided CI for the difference of two means, assuming that the variance of the two populations - from which the samples are obtained - are equal will (keeping everything else constant) make no difference create a wider CI create a narrower CI O increase the significance level
- The main number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. This males took an average of three English courses with a standard deviation of 0.8. The females took an average of four English courses with a standard deviation of 1.0. Are the means statistically the same? Assume that the variances are not equal. Test at 5% level of significance. Subscripts: 1: males; 2: females What is the question/claim to be tested in symbols the hypothesis is Ho: Ha: which hypothesis matches the claim test objective is to reject or support level of significance a=.05 type of test (left, right, two-tailed) the applicable test to be applied is (2-sampZTEST/2-sampTTEST, 2-propZTEST) calculate the applicable test to be applied is (2-sampZTEST/2-sampTTEST, 2-propZTEST) calculate the applicable test statisticz or t= p-value= compare p-value…An engineer has designed a valve that will regulate water pressure on an automobile engne. The valve was tested on 130 engines and the mean pressure was 5.1 Ibs/square inch. Assume the variance is known to be 0.25 if the valve was designed to produce a mean pressure of 5 lbs/square inch, is there sufficient evidence at the 0.05 level that the valve performs above the specifications? State the null and alternative hypotheses for the above scenario Answer Ho H₂ Tables Keypad Keyboard ShortcutsA survey was conducted to study the height of people from IBRI and NIZWA. The results are shown here. The researcher is interested to examine is there a significant difference between the average height of people of the two places at a=0.05. Write the hypothesis and evaluate t-test value only. [Assuming the population variances are equal and use 2-decimal places].