OMOGOLO NALEDI N SETLALEKGaasi NALEDI SETLALEIGOS! 202100532 MATH TEST 1 [v Question 1 (a) 10 75 Question B4 (a) According to Mendelian genetic model, the offspring of a certain cross of bearded iris plants should be coloured pink, blue or red with probabilities Suppose an experiment yields 58, 44 and 42 in each category. (i) Draw a table and showing the model yields and experiment yields. (ii) Evaluate the X and the critical value of the test where we use chi-square test at 5% significant level. 9 3 16 16 16 and , respectively. [3] [2] [5] [3] V(iii) State the decision rule for the test, showing clearly the acceptance and the rejection region of the test. (iv) Give a conclusion on whether the experiment support the theory or not? (b) The following measurements were recorded for the drying time, in hours, of a certain brand of latex paint: 1 2 3 4 5 6 7 8 9 10 11 12 1 3.4, 2.5, 4.8, 2.9, 3.6, 2.8, 4.0, 5.2, 3.0, 4.8, 3.0, 4.6, 5.1 Assuming that the measurements represent a random sample from a normal population. (i) Find a 95% confidence interval for the mean drying time for the next trial of the paint. [10] (ii) If a paint has a drying time of 2.3 hours, does it belong to this brand of latex paint? [2] Question B3 OMOGOLO NALEDI N SETALEGOSI 102100532 NALEDI SETLALEKGOS! 202100532 MAT 271 (a) The breaking strength X of a certain rivet used in a machine engine has a mean 4000 psi and standard deviation 80 psi. A random sample of 64 rivets is taken. Consider the distribution of X, sample mean breaking strength. i) State the Central Limit Theorem. [2] [4] ii) What is the probability that the sample mean falls between 3985 psi and 4025 psi? iii) What sample size n, would be necessary to have P(3992

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 22E

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Transcribed Image Text:OMOGOLO NALEDI N SETLALEKGaasi NALEDI SETLALEIGOS! 202100532 MATH TEST 1 [v Question 1 (a) 10 75 Question B4 (a) According to Mendelian genetic model, the offspring of a certain cross of bearded iris plants should be coloured pink, blue or red with probabilities Suppose an experiment yields 58, 44 and 42 in each category. (i) Draw a table and showing the model yields and experiment yields. (ii) Evaluate the X and the critical value of the test where we use chi-square test at 5% significant level. 9 3 16 16 16 and , respectively. [3] [2] [5] [3] V(iii) State the decision rule for the test, showing clearly the acceptance and the rejection region of the test. (iv) Give a conclusion on whether the experiment support the theory or not? (b) The following measurements were recorded for the drying time, in hours, of a certain brand of latex paint: 1 2 3 4 5 6 7 8 9 10 11 12 1 3.4, 2.5, 4.8, 2.9, 3.6, 2.8, 4.0, 5.2, 3.0, 4.8, 3.0, 4.6, 5.1 Assuming that the measurements represent a random sample from a normal population. (i) Find a 95% confidence interval for the mean drying time for the next trial of the paint. [10] (ii) If a paint has a drying time of 2.3 hours, does it belong to this brand of latex paint? [2]