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Q: 6+ З +2 (2x+1)= 8
A: 6x3 + 2(2x+1) = 8 2x + 4x + 2 = 86x + 2 = 86x = 8 - 26x = 6x = 66 = 1
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- Prove the conjecture made in the preceding exercise.using simpson's 1/3 rule16. A machine produces bolts which are N(4, 0.09), where measurements are in mm. bolts are measured accurately and any which are smaller than 3.5 mm or bigger than 4.4 mm are rejected. Out of a batch of 500 bolts how many would be acceptable?
- 9 Define X as the outcome when a fair 6-sided die is rolled rolled. Compute E[1/X]. Enter the value to to at least 2 decimal places.Why is n> 3 significant here?2.A machine puts out 16 imperfect articles in a sample of 500.After themachine is overbauled it turns 3 imperfect articles in a batch of 100.Has themachine improved?
- X is the number of defective parts in a sample of 10 randomly selected parts coming from a manufactoring process in which 1.5% of all parts are defective. How do I find the probabilty the sample contains no broken parts?A new insecticide is advertised to kill more than 95% roaches upon contact. In a laboratory test, the insecticide was applied to 400 roaches and 384 died immediately after contact. Is this sufficient evidence to support the advertised claim? Use α{=0.05. (d) Conclusion for the problem above isYou are using t-test with 15 degrees of freedom to test H0: u=112 vs Ha: u<112, and the rejection was defined to be all the values less than -1.753. What is the implied value of alpha that this test is being performed at?
- N points are scattered at random independently of one another inside a sphere of radius R.• What is the probability that the distance from the center to the nearest point will not be less than r?• To what does the probability, found above, tend to if R → ∞ and N/R3→ k, where k is a constant.In the tt-test of significance for the hypotheses H0:μ=11 and Ha:μ<11, the value of the test statistic was found to be t = 1.205 using a sample of size 18. Estimate the upper bound for the P-value associated with this test. That is, fill in the blank P <P< _____. Please show work!What degrees of freedom would younormally expect a t test to have when N1 = 40 and N2 = 55?