Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a)   Suppose n = 30 and   p = 0.25.  (For each answer, enter a number. Use 2 decimal places.) n·p =  n·q =  Can we approximate p̂ by a normal distribution? Why? (Fill in the blank. There are four answer blanks. A blank is represented by _____.) _____, p̂ _____ be approximated by a normal random variable because _____ _____. first blank YesNo     second blank cancannot     third blank both n·p and n·q exceedn·p exceeds    n·q exceedsn·p and n·q do not exceedn·p does not exceedn·q does not exceed fourth blank (Enter an exact number.)

Questions C and D. Please!

You developed a test to measure the speaking ability of babies. The scores below are given to babies based on their genders. Compute the standard deviation, the variance, the range, and the coefficient of variation for the two different groups.(2 decimal places for everything and put the % sign when doing the C.V with no spaces in between.) Boys Girls 13.7 12.9 17.6 10.7 12.9 8.3 8.7 11 9.6 13.9 11.9 11.2 8.7 10.7 12.1 11.9 10.5 10.7 11.2 9.3 boys girls std. dev. (2 decimals) std. dev. (2 decimals) variance (2 decimals) variance (2 decimals) range (1 decimals) range (1 decimals) coef. of var. (2 dec add %) coef. of variance (2 dec add %)

K A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal A. Ho H1 H2 H₁ H₁ H₂ ỌC. Hồ Hi-12 H₁: Hy > H₂ 0 в. Но 141=12 H₁ H₁ H₂ O D. Ho 11 #₂2 H₁ H1 H₂ The test statistic, t, is (Round to two decimal places as needed) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. Proctored Nonproctored H 144 n 34 CIXS 77.58 11.08 12 31 81.91 21.24 A. Reject Ho There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. OB. Fail to reject Ho. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. C. Fail to reject Ho. There is not sufficient evidence to support the…