For each part (a)-(d), determine whether or not the success-failure condition of the Central Limit Theorem is satisfied. (a) The proportion of super happy fun meals which contain a prize is 0.78. A random sample of 37 supper happy fun meals is selected. Select an answer (b) At a package distribution center it is known that 25% of packages have dented corners. You select 69 packages at random from the distribution center. Select an answer (c) You select 41 fish at random from a pet store where 16% of fish were caught wild. Select an answer

A random sample of 1009 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1009 adults surveyed, 521 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below. (a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without. p= 0.516 (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. V 10. and the The sample can be assumed to be a simple random sample, the value of np(1-p) isD, which is V less than or equal to 5% of the (Round to three decimal places as needed.)

What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the depth of the dive. The U.S. Navy has done a lot of research on this topic. The Navy defines the "optimal time" to be the time at each depth for the best balance between length of work period and decompression time after surfacing. Let x = depth of dive in meters, and let y optimal time in hours. A random sample of divers gave the following data. 15.1 23.3 32.2 38.3 51.3 20.5 22.7 2.48 2.38 1.48 1.03 0.75 2.38 2.20 (a) Find Ex, Ey, Ex², Ey², Exy, and r. (Roundr to three decimal places.) Ex = 203.4 Ey = 12.7 Ex2 = 0.001 Ey? = 0.002 Exy = 931.638 r= -0.9655 (b) Use a 1% level of significance to test the claim that p < 0. (Round your answers to two decimal places.) t = -8.29 critical t = -3.36 Conclusion O Reject the null hypothesis. There is insufficient evidence that p < 0. Reject the null hypothesis. There is sufficient evidence that p < 0. Fail to reject the null hypothesis. There is…

A company manufacturing CDs is working on a new technology. A random sample of 717 Internet users were asked "As you may know, some CDs are being manufactured so that you can only make one copy of the CD after you purchase it. Would you buy a CD with this technology, or would you refuse to buy it even ifit was one you would normaly buy?" Of hose usert, 56% responded that they would buy the CD. Complete parts a and b below a) Create a 90% confidence interval for this percentage 口口 (Round to three decimal places as needed, Use ascending order.)

A humane society claims that less than 62% of households in a certain country own a pet. In a random sample of 500 households in that country, 290 say they own a pet. At a = 0.05, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state Ho and H Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. Less than % of households in the country own a pet. O B. % of households in the country own a pet. O C. The percentage households in the country that own a pet is not %. O D. More than % of households in the country own a pet. Let p be the population proportion of successes, where a success is a household in the country that owns a pet. State Ho and H.. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) CO A. Hnipz O B. Hnip= OC.…

Peter is trying to figure out the sample size for the data set he wants to collect. He is considering having the bound on the error of estimation to be either 3.5 or 4.5. Explain to Peter the impact these different errors will have on his sample size.