Question

The buyer ages are approximately normally distributed and the sample does not contain any outliers. Construct a 90% confidence interval for the mean age for all the real estate agent's clients who purchased investment property. ( , ) (Use ascending order. Round to one decimal place as needed.) 36 31 52 42 34 47 56 43 46 44 58 48 51 47 40 The following data represent the age (in weeks) at which babies first crawl based on a survey of 12 mothers. 5252 3030 4444 3535 4747 3737 5656 2626 5252 3535 3939 3030 0204060199502575Age (in weeks)Percent • • • A normal probability plot with bounds governed by two curves has a horizontal axis labeled "Age (in weeks)" from 0 to 60 in increments of 10 and a vertical axis labeled "Percent" from 1 to 99 with intermediate tick marks labeled 25, 50, and 75. The outer vertical tick marks are farther apart from each other than the inner vertical tick marks. There is a line, rising from left to right, which passes through the points (28, 25) and (53, 75). Twelve plotted points generally follow the pattern of the line. All of the points are between the bounds. All coordinates are approximate. 30405060 • • • A horizontal boxplot has a number line labeled from less than 30 to 60 in increments of 5 and consists of a box extending from 30 to 52 with a vertical line through the box at 40 and two horizontal lines extending from the left and right sides of the box to 26 and 56, respectively. All values are approximate. Meanequals=40.25 StDev equals=9.84 Click the icon to view the table of areas under the t-distribution. (a) Because the sample size is small, we must verify that the data come from a population that is normally distributed and that the sample size does not contain any outliers. Are the conditions for constructing a confidence interval about the mean satisfied? A. No, the sample contains an outlier. B. Yes, the population is normally distributed and the sample does not contain any outliers. Your answer is correct. C. No, the population is not normally distributed. (b) Construct a 95% confidence interval for the mean age at which a baby first crawls. Select the correct choice below and fill in any answer boxes in your choice. A. ( , ) (Use ascending order. Round to one decimal place as needed.) B. A 95% confidence interval cannot be constructed.

Answer 1

The buyer ages are approximately normally distributed and the sample does not contain any outliers. Construct a 90% confidence interval for the mean age for all the real estate agent's clients who purchased an investment property. (Use ascending order. Round to one decimal place as needed.)

36 31 52 42 34 47 56 43 46 44 58 48 51 47 40

31
34		Column1
36
40		Mean	45
42		Standard Error	1.988059595
43		Median	46
44		Mode	47
46		Standard Deviation	7.699721702
47		Sample Variance	59.28571429
47		Kurtosis	-0.412807486
48		Skewness	-0.150577762
51		Range	27
52		Minimum	31
56		Maximum	58
58		Sum	675
		Count	15