Question

I need help answering questions 1-3

32,33,35,36

Fitted Line Plot Time = 994.2-0.3930 Year 280 270 260 250 240 230 220 210 200 6.76343 79.3% 784% R-Sq R-Sq(a 1900 1920 19401960 1980 Year y a+bx Question 1 ive the equation for the least squares regression line, and interpret it in context. Question 2: Give the equation for this new line and compare it with the line you found for the whole dataset, commenting on the effect of the outlier Question 3: Our least squares regression line associates years as an explanatory variable, with times in the 1,500 meter race as the response variable. Use the least squares regression line you found in question 2 to predict the 1,500 meter time in the 200S Olympic Games in Beijing. Comment on your prediction. QUESTION 32 1.5 points Save Answer Let x represent the full height of a certain species of tree. Assume that x has a normal probability distribution with mean 194.5 feet and standard deviation 6.5 feet. You intend to measure a random sample of n-67 trees. The bell curve below represents the distribution of these sample means. The scale on the horizontal axis is the standard error (standard deviation) of the sampling distribution. Determine the values of A, B and C, shown by the indicated boxes. A. A-192.915, B-194.5, and C-196.085 B. A-188.0, B-194.5, and C-201.0 C. A-181.5, B-194.5, and C-207.5 D.A-193.714, B-194.5, and C-195.293 QUESTION 33 1.5 points Save Answer A sample of 90 daily high temperatures during Spring in Anchorage, Alaska had x- 56.3 and s-8.9. Select the number line below that shows the 98% confidence interval for the mean Spring high temperature in Anchorage, Alaska based on this sample. 58.1 54.5 OA. 56.3 52 53 54 55 56 57 58 59 60 54.1 58.5 x-56.3 OB. 52 53 54 55 56 57 58 59 60 54.8 - Ос. x56.3 57.8 52 53 54 55 56 57 58 59 60 53.8 58.8 x 56.3 OD 52 53 54 55 56 57 58 59 60 QUESTION 35 1.5 points Save Answer In a recent ABC News/Washington Post poll, 1,016 adults nationwide answered the question, "Overall, do you support or oppose allowing gays and lesbians to marry legally?" Of the respondents, 619 support same-sex marriage. What is the 95% confidence interval for the proportion of all American adults who support same-sex marriage? Source: http://www.washingtonpost.com/page/ 2010-2019/WashingtonPost/2015/04/23/Nation al-Politics/Polling/release_395.xml O A. (0.594, 0.624) O B. (0.584, 0.634) O c. (0.579, 0.639) D. (0.570, 0.648) QUESTION 36 1.5 points Save Answer Confidence interval precision: We know that narrower confidence intervals give us a more precise estimate of the true population proportion. Which of the following could we do to produce higher precision in our estimates of the population proportion? We can select a higher confidence level and increase the sample size. We can select a higher confidence level and decrease the sample size. We can select a lower confidence level and increase the sample size. We can select a lower confidence level and decrease the sample size. A.

Answer 1

Solution:-

32)

Mean = 194.5, S.D = 6.5, n = 67

B = Mean = 194.5

The z-score for A and C is + 2

z₁ = -2.0

z₂ = 2.0

By applying normal distribution:-

$z = \frac{x-\mu }{\frac{\sigma }{\sqrt{n}}}$

x₁ = 192.912

x₂ = 196.088

A = 192.912

C = 196.088

33) (B) C.I = ( 54.1, 58.5)

n = 90, Mean = 56.3, S.D = 8.9
98% confidence interval for the mean is C.I = ( 54.078, 58.522)

S.D

C.I = 56.3 + 2.369 × 0.93814

C.I = 56.3 + 2.2224

C.I = ( 54.078, 58.522)