Question

Use the confidence level and sample data to find a confidence interval for estimating the population. Round your answer to the same number of decimal places as the sample mean 19) A group of 5 randomly selected students have a mean score of 295 with a standard deviation of 19 5.2 on a placement test. What is the 90% confidence interval for the mean score of all students taking the test? A) 27.8 < <312 ) 27.9<<311 C)282 << 308 D) 284<<306 Hypothesis Testing Problems Express the mall hypothesis and the alternative hypothesis in symbolic form. Use the correct symboliu. Pol for the indicated parameter. 20) A researcher claims that 62% of voters favor gun control 20) A) Ho p < 0.62 B) HoP-0.62 C) Ho: p20.62 D) Hop -0.62 Hyp0.62 HP-0.62 HEP<0.62 Hp0.62 21) 21) A cereal company claims that the mean weight of the cereal in its packets is at least for A Hop-14 B) HOP-14 C) Ho: 14 D) Ho: 14 H1 > 14 H 14 Hus 14 Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical value used to test a null hypothesis. 22 -008 Hy is 324 A) 1.41 B) 41.75 +141 D) 1.75 Find the value of the test statistic using P 23) 23) The claim is that the proportion of accidental deaths or the elderly attributable to residential falls is more than 0.10, and the sample statistics include n. 800 death of the elderly with 15% of them attributable to residential falls. A) 3.96 B) 4.71 C) 41 D) -3.46

Answer 1

19) 59 students randomly selected, ..=59, mean scone, C = 29.5 f Standard deviakin, s=5.2 for 90.7. confidence interval z score valen 2 2:0.1 20:05=1.645 Now for normal destribution we know, X-] ~ N(0,1) Cor population standard deviation Now, af a su (T-M 3 w tn-l [ 5 = sample standard deviation] 4 to we know for ny 3o. VnCTM) De NCOI) Sene; 90% condifidence interval of mig 1. Rul l< Zoos =) 5-20:05<Msät 20.05 - = 28.3865 M€ 30.614 50, 90% emfidence intenval Of u is. (D) 28.43 ME 30.6 20) A researchar claims that 6ax. of voters favour The null & alternative hypothesis, (D) Ho: P=0.62 vs Hi! p +0.62 gun control. 29) A cereal compary claim thick the mean weight of the cereal in its packet is at leant 14oz. The null.s alternative hypothesis, (C) Ho: 4514 vs Hi. My, 14 22) For 2200s, critical value of z is ? (A)].41. 23) n=800, Bc p=0.10 , p=0.15 , 9 = 1-P = 0.80 Test statistie, z i p = : 4.71 (c) 2, 0-15- 0.10 01080.90 csscanned with CamScanner