Question 1Prompt: We have discussed the question, "Is Mathematics invented or discovered?" What insights do the passages Proverbs 3:19 and Jeremiah 51:15 provide in this discussion? Remember that mathematics is more than just numbers and equations but also the foundation of physics, chemistry, and biology.Requirements: 250 words minimum initial post, 100 words minimum replyQuestion 2Prompt: Find or contrive three examples of functions applied in the real world. Categorize these functions as either linear, quadratic, exponential, logarithmic, or neither.Requirements: 250 words minimum initial post, 100 words minimum reply

Recently, the factory began a new production line that is more efficient than the existing production line. However, the factory still needs ball bearings to meet the same specifications. To compare the accuracy of the new process against the existing process, the factory decides to take two random samples of ball bearings. The first sample is of 50 randomly selected ball bearings from the existing production line, and the second sample is of 50 randomly selected ball bearings produced from the new production line. For each sample, the diameters of the ball bearings were measured.The two samples will be generated using Python’s numpy module. These data sets will be unique to you, and therefore your answers will be unique as well. Run Step 1 in the Python script to generate your unique sample data.Suppose that the factory claims that the proportion of ball bearings with diameter values less than 2.20 cm in the existing manufacturing process is the same as the proportion in the new process. At alpha=0.05, is there enough evidence that the two proportions are the same? Perform a hypothesis test for the difference between two population proportions to test this claim.In your initial post, address the following items:Define the null and alternative hypotheses in mathematical terms as well as in words.Identify the level of significance.Include the test statistic and the P-value. See Step 2 in the Python script. (Note that Python methods return two tailed P-values. You must report the correct P-value based on the alternative hypothesis.)Provide a conclusion and interpretation of the test: Should the null hypothesis be rejected? Why or why not? My dataDiameters data frame of the first sample (showing only the first five observations) diameters 0 2.52 1 3.30 2 2.97 3 2.09 4 1.83 Diameters data frame of the second sample (showing only the first five observations) diameters 0 2.18 1 3.61 2 3.11 3 2.55 4 1.65test-statistic = 0.86 two tailed p-value = 0.3912