Question

The method of tree ring dating gave the following years A.D for an archaeological excavation site. Assume that the population of x values has an approxmately normal dis rbdg 1313 1250 1264 1313 1268 1316 1275 1317 127S and sample standard deviation s. (Round your answers to the nearest whole number) (a) Use a calculator with mean and standard deviation keys to find the sample mean year A.D. x1288 javescript yr hole number b) Find a 90% confidence interval for the mean of all tree ring dates from this archaeologeal site. (Round your answers to the nearest A.D. lower limit A.D. upper limit For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. A random sample of 5140 permanent dwellings on an entire reservation showed that 1599 were traditional hogans. (a) Let p be the proportion of all permanent dwellings on the entire reservation that are traditional hogans. Find a point estimate for p. (Round your answer to four decimal places.) (b) Find a 99% confidence interval for p. (Round your answer to three decimal places.) lower limit upper limit Give a brief interpretation of the confidence interval 0 1% of all confidence intervals would include the true proportion of traditional hogans. O 99% of all confidence intervals would include the true proportion of traditional hogans. O 99% of the confidence intervals created us ng this method would include the true proportion of traditional hogan. 1% of the confidence intervals created using this method would include the true proportion of traditional hogan. you think that np >5 and nq5 are satisfied for this problem? Explain why this would be an important consideration O No, the condtions are not satisfied. This is important because it allows us to say that p is approximately binomial. is approximately normal. allows us to say that are satisfied. This is important because ONo, the condtions are not satisfied. This is important because it allows us to say thatp because it allows us to say that p is approximately binomial. O Yes, the conditions are satisfied. This is important es at the a crtan university have a long-term graduation rate ef 67%. Over the past several yeas, aandam that the population proportion of women athletes who graduate from the university is now less than 67%, Use a 5% level of sgnfance. sample of y9 women athletes at the scheel showed that 22 eventul, Ordusted. Dom a) What is the level of significance? 05 State the null and alternate hypotheses O Hai p 0.67, Hs p-0.67 O HE p-0.67; Hu p 5 and nqs O The standard normal, since np 5 and nq> s. decimal plases) What is the value of the sample test statistic? (Round your anawer to Find the Pvalue of the test statistic (Round your anwer to four decimal plces) Sketch the sampling datribution and show the area conresponding to the o-3-2-1 0 1 2 3 0-3-2-1 o- 2 2 3 0-3 2112 3 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the α-0.05 level, we reject the null hypothess and conclude the data are statistically significant. O At the α-0.05 level, we reject the null hypothess and conclude the data are not statistically significant. O At the α-0.05 level, we fail to reject the null hypothesa and conclude the data are statstically significant. O At the α-0.05 level, we fail to reject the null hypothesa and conclude the data are not statstically sanificant. (d) Based on your answers in parts (o) to (o), will you reject or fai to reject the null hypotheais? Are the dota statistically significant at level O At the a - o.05 level, we reject the null hypothesis and conclade the data are statisticaly sionificant At the α-0.0s ievel, we reject the null hypothesis and conclude tho data are not statistically Signacent O At the α-OOS level, we fai, to reject the null hypothesis and conclude the data are statistica"y significan' O At the α-0.05 level, wo fail to reject the null hypothesis and condude the data are not statistically significant. (e) Interpret your conclusion in the context of the application O There is sufficient evidence at the 0.05 level to conclude that the true proporton of women athletes who graduate is less than o.67. 。There is insufficient evidence at the 0.05 level to conclude that the true proportion of women athletes who graduate is less than 0.67. Wewing Saved Work Reven to Lest Reaponse Suppose the heights of 18-year-old men are approximately normally distributed, with mean 70 inches and standard deviation 4 inches a) What is the probability that an 18-year-old man selected at random is between 69 and 71 iches tan (Round your answer to four deo al pla。 (b) If a random sample of twelve 18-year-old men is selected, what is the probability that the mean height is between 69 and 71 inches? (Round your answer to four decimal places (c) Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why would you expect this? The probability in part (b)s much higher because the mean is smaller for the-distribution. O The probability in part (b) is much higher because the mean is larger for the x distribution O The probability in part (b) is much higher because the standard deviation is larger for the x distribution O The probability in part (b) is much higher because the standard deviation is smaller for the x distribution. O The probability in part (b) is much lower because the standard deviation is smaller for the x distribution Suppose the heights of 18-year-old men are approximately normally distributed, with mean 70 inches and standard deviation 4 inches. o) what is the probability that an 18-year-old man selected at random is between 69 and 71 inches tall? (Round your answer to four decimal places.) If a random sample of twelve 18-year-old men s selected, what is the probability that the mean height x s between 69 and 71 . ches? Round your ans to four deo nal places. (c) Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why would you expect this? O The probability in part (b) is much higher because the mean is smaller for the x distribution 0 The probability in part (b) is much higher because the mean is larger for the-distribut O The probability in part (b) is much higher because the standard deviation is larger for the x distribution. O The probability in part (b) is much higher because the standard devistion is smaller for the x distribution O The probability in part (b) is much lower because the standard deviation is smaller for the distribution Submit Answer View Previous Question Queston 9 of 17 Viewet Questo

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