ve the problem. 15) Which of the following is a true statement about the Central
ID: 3062430 • Letter: V
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ve the problem. 15) Which of the following is a true statement about the Central Limit Theorem for sample means?15) A) The Central Limit Theorem helps us find probabilities for sample means when those means are based on a random sample from a population. B) If the sample size is large, it doesn't matter what the distribution of the population it was drawn from is, the normal distribution can still be used to perform statistical inferenoe If conditions are met, the mean of the sampling distribution is equal to the population mean. D) All of the statements are true about the Central Limit Theorem for sample means Assume that the average Systolie blood pressure for adults age 50-54 is 125 mmHg with a standard deviation of S mmHg It is known that Systolie blood pressure is not normally distributed. A sample of 25 adult Systolie blood pressure measurements are taken from the population. 16) What type of test would be appropriate for this example to see if the sample results are different 16) from the average diastolic blood pressure measurements? L A one- sample t test because the data are not normally distributed. A one-sample z test because the data are not normally distributed. Ill. A 95% confidence interval using a critical t statistic. A) Ionly B)only 91and Dj only Use the following information to answer the quest "average" wedding in the United States. According to the website www.costofweddi wedding in the U.S. in 2009 was $24066. Recently, in a random sample of 40 average cost of a wedding was $23,224, with a standard deviation of $2,903. On the basis of this, a for the mean cost of weddings in the U.S. is $22,296 to $24,152 ion. Many couples believe that it is getting too expensive to host an ing.com, the average cost of a weddings in the U.S. it was found that the 17) 17) Choose the statement that is the best interpretation of the confidence interval. A) That probability that a US wedding will cost more than $24,152 is less than 3%. B) In about 95% of all samples of 40 US weddings, the resulting confidence interval will contain the mean cost of all weddings in the US O We are extremely confident that the mean cost of a U.S wedding is between $22,296 and $24,152 Use the following information to answer the question. According to the website ww.costofwedding.com, the average cost of flowers for a wedding is S698 Recently, in a random sample of 40 weddings in the US. it was found that the average cost of the flowers was S734, with a standard deviation of $102. On the basis of this, a 95% confidence interval for the mean cost of flowers for a wedding is $701 to $767. 15) 18) Does the confidence interval provide evidence that the mean cost of flowers for a wedding has increased? A) No B) YesExplanation / Answer
15 ) All statements are true (option D)
16) since standard deviation is known so Z test . option B
17) In about 95% of all samples of 40 U.S weddings, the resulting confidence interval contain the mean cost of all weddings in the U.S (Option B)
18) Yes.
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