Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data: 112 311 3205 331 32 2 3 2 2 6 47023 0421311 3 4 1 4 5 1 3 1 5023 2106 4 2 1 6 0 3 3 3 6 12 2 LAUSE SALT (a) Determine frequencies and relative frequencies for the observed values of x= number of nonconforming transducers in a batch. (Round your relative frequencies to four decimal places) Nonconforming Frequency Relative Frequency x 0 3 4 5 6 7 8 (b) What proportion of batches in the sample have t most six nonconforming transducers? (Round your answer to four decimal places.) What proportion have fewer than six? (Round your answer to four decimal places.) What proportion have at least six nonconforming units? (Round your answer to four decimal places.)

A population data set produced the following information. Find the values of O and p². Round to four decimal places and p² to three decimal places. de = p² = i N = 250, Σ x = 9970, Σy = 1473, Σ xy = 85,270 [x²: = 486,260, and Σ ν = 134,385 i

2. Who supports gun control laws more: females or males? Data were collected from a sample of 980 people. We see that 379 of the 460 females in the sample support gun control laws, while 318 of the 520 males in the sample support gun control laws. We will investigate the difference in proportions of females and males who support gun control laws. (This dataset is preloaded in Statkey.) a) What parameter are we trying to estimate? Give correct notation and a brief written description. b) What is the best point estimate for the difference in the proportions of gun control law supporters? Use correct notation and include the value. c) Find a 99% bootstrap confidence interval using the Percentile Method Include a screen shot of your StatKey output. 99% CI: d) Find a 95% bootstrap confidence interval using the Standard Error Method (show calculations based on bootstrap estimate of standard error as shown in graph from previous step): 95% CI e) Interpret the 95% confidence interval. Be sure…

Recall that Benford's Law clalms that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a v leading digit is about 0.301. Now suppose you are the auditor for a very large corporation. The revenue file contains millons of numbers in a large computer data bank. You draw a random sample of n = 229 numbers from this file and r 85 have a first nonzero digit of 1. Let p represent the population proportion of all numbers in the computer file that have a leading digit of 1. large data file, the probability of getting a number with "1" as the () Test the dalm that p is more than 0.301. Use a 0.10. (a) what is the level of signifcance? State the null and alternate hypotheses. O Hg: p = 0.301; H p> 0.301 O Hgi P = 0.301; Hip 0.301; Hp- 0.301 O Ho: P= 0.301; H: p- 0.301 (b) what sampling distribution will you use? O The Student's t, since np > 5 and ng > 5. O The…