O The following are ages of 15 of the signers of the Declaration of Independence. 43, 33, 40, 42, 46, 50, 39, 38, 32, 47, 50, 36, 40, 55, 45 Send data to calculator Find 25th (If necessary, consult a list of formulas.) (a) and 70th percentiles for these ages. (b) The 25th percentile: 0 The 70th percentile: 0 Continue O S M EXT Ⓒ2022 McGraw Hill LLC. All Righ

Eyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made the time period of January 1 to March 31. The table gives the defect and the number of defects. Do the data support the notion that each defect type occurs in the same proportion? Test at the 5% level. Number of Defective Lenses Defect type Number of defects Scratch 1866 Right shaped - small 1935 Flaked 1979 Wrong axis 1921 Chamfer wrong 1864 Crazing, cracks 1991 Wrong shape 2004 Wrong PD 1895 Spots and bubbles 1917 Wrong height 1885 Right shape - big 1875 Lost in lab 1886 Spots/bubble - intern 1935   State the hypotheses.H0: Each defect type     in the same proportion.Ha: Each defect type     in the same proportion. Calculate the χ2 test statistic. Round expected values to two decimal places. Round χ2 to three decimal places.χ2 =  Calculate the p-value. Round to four decimal places.p-value =  State your decision.Since p-value     0.05,…

Please solve and explain #2

**Frequency distribution table** The city council was concerned that allowing more bars within city limits would increase the number of drunk drivers on city streets. A researcher was asked to statistically determine how many bar patrons exceed the legal limit for driving when leaving a bar. The researcher asked 20 bar patrons to take a test to determine their blood alcohol levels as they were leaving the bar. The scores are shown below.   0.05 0.08 0.09 0.12 0.03 0.07 0.09 0.12 0.10 0.06 0.10 0.02 0.08 0.00 0.07 0.00 0.14 0.02 0.11 0.10

Find the 25th, 50th, and 75th percentile from the following list of 25 observations. 9. 15 24 31 35 38 42 48 49 54 57 60 62 72 73 74 76 78 80 89 92 93 94 99 25th percentile = 50th percentile = 75th percentile %3D

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The numbers of students in the 10 schools in a district are given below. (Note that these are already ordered from least to greatest.) 204, 250, 255, 262, 274, 311, 369, 381, 389, 415 Send data to calculator Suppose that the number 204 from this list changes to 304. Answer the following. (a) What happens to the mean? It decreases by U O It increases by O It stays the same. (b) What happens to the median? O It decreases by O It increases by O It stays the same.

A May 2011 Gallup Poll found that many Americans believe in ghosts and other supernatural phenomena. The poll was based on telephone responses from randomly selected adults. The table shows the number of people who expressed belief in various phenomena. Please finish the relative frequency table below, and please show your answers in decimals 2 decimal places. Phenomenon Frequency Relative Frequency Psychic Healing 207 ESP 379 Ghosts 103 Astrology 431 Channeling 603