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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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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]