QUESTION 9Find the test statistic to test the claim that u1

Given that ; Group 1 n1 = 35 Mean (M1 ) = 23.5 S1 = 2.9 Group 2 n2 = 42 Mean (M2) = 26.05 S2…

Answered: QUESTION 9 Find the test statistic to…

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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Suppose you needed to test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Sample 1: n1 = 13, a1 = 24, s1 = 7.55 Sample 2: n2 = 3, x2 = 21.9, s2 = 8.92 Find: (a) The estimated degree of freedom is (b) The standardized test statistic is (use Sample 1 - Sample 2)
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Q3 A box contains 6 balls. Two are numbered 4, two are numbered 5, and two are numbered 6. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is repeated many times, find the variance (02) and standard deviation (o) of the numbers on the balls.
Let a be a random variable representing the percentage of protein content for early bloom alfalfa hay. The average percentage protein content of such early bloom alfalfa should be u = 17.2%. A farmer's co-op is thinking of buying a large amount of baled hay but suspects that the hay is from a later summer cutting with lower protein content. A small amount of hay was removed from each bale of a random sample of 50 bales. The average protein content from the samples was determined by a local agricultural college to be -15.8% with a sample standard deviation of S = 5.3%- At a = .05, does this hay have lower average protein content than the early bloom alfalfa?
In the airline business, "on-time" flight arrival is important for connecting flights and general customer satisfaction. Is there a difference between summer and winter average on-time flight arrivals? Let x1 be a random variable that represents percentage of on-time arrivals at major airports in the summer. Let x2 be a random variable that represents percentage of on-time arrivals at major airports in the winter. A random sample of n1 = 16 major airports showed that x1 = 74.9%, with s1 = 5.3%. A random sample of n2 = 18 major airports showed that x2 = 70.2%, with s2 = 8.6%. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. (a) Does this information indicate a difference (either way) in the population mean percentage of on-time arrivals for summer compared to winter? Use α = 0.05. (i) What is the…
In a survey of 180 females who recently completed high school, 75% were enrolled in college. In a survey of 160 males who recently completed high school,70 % were enrolled in college. At a=.009, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e).
Magnetic surveying is one technique used by archaeologists to determine anomalies arising from variations in magnetic susceptibility. Unusual changes in magnetic susceptibility might (or might not) indicate an important archaeological discovery. Let x be a random variable that represents a magnetic susceptibility (MS) reading for a randomly chosen site at an archaeological research location. A random sample of 120 sites gave the readings shown in the table below. Magnetic Susceptibility Readings,centimeter-gram-second ✕ 10−6 (cmg ✕ 10−6) Comment MagneticSusceptibility Number ofReadings EstimatedProbability "cool" 0 ≤ x < 10 30 30/120 = 0.25 "neutral" 10 ≤ x < 20 54 54/120 = 0.45 "warm" 20 ≤ x < 30 24 24/120 = 0.20 "very interesting" 30 ≤ x < 40 6 6/120 = 0.05 "hot spot" 40 ≤ x 6 6/120 = 0.05 Suppose a "hot spot" is a site with a reading of 40 or higher. (c) What is the probability that you will need more than five readings to find the first…
If you have samples of n1=19 and n2=24, in performing the pooled-variance t test, how many degrees of freedom do you have?
II. Supply the table with the corresponding random variable and/or the possible values of the random variable for each experiment. Possible values (x) for the Experiment Random Variable (X) Random Variable Number of customers who 1. Contacting 10 customers 0, 1, 2, 3, 4,5 placed a complaint 2. Inspection of shipment of 100 laptops 3. Filling a bottle of water (maximum of 500 mL) 0, 1,2, .,99, 100 0sxs 500 The temperature when the desired reaction takes place (minimum of 40°C; maximum of 90* C) 4. Testing of new chemical process 5. Selling an automobile O if male; 1 if female
K Listed below are the lead concentrations in µg/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 15 µg/g. Assume that the sample is a simple random sample. 13 20 5.5 2.5 19 11 10 15 2.5 만 Determine the test statistic. (Round to two decimal places as needed.) 7.5 C Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Reject Ho. There is sufficient evidence to conclude that the mean lead concentration for all such medicines is less than 15 μg/g.
Total blood volume (in mi) per body wight (in ke) is important in medical research. For healthy aduks, the red blood cell volume mean is about p = 28 ml/kg.t Red blood cell vokume that is too lom ar too high can indicate a medical problem. Suppose that koger has had seven blood tests, and the red blood cell volumes weré as follows Let x be a random variable that represents Roger's red blood cll volume. Assume that x has a narmal distributian and - 4.75. Do the data indicate that koger's red blood cell valume is different (either way) from a- 28 mi/kg? Use a 0.01 lervel of significance. a What is the leval of sigaicance State the null and alternate hypotheses. Will you use a left-lailed, right-laded, or two-tailed test? O H: - 28 ml/kg; H: 2s m/kg; Ima-tailed o Ho: - 28 ml/ka; H 28 m/ka, let-tailed O Ho: 28 mil/kg: H1:- 28 ml/kg; tmo-tailed O Ho: 28 m/ka, H > 28 m/kg; right-laiked (b) What sampling distribution wil you use? Explain the rationale for your choice of sampling distributian.…

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QUESTION 9 Find the test statistic to test the claim that u1