Assuming that the data are normally distributed, a. Determine the z-score such that the area to its right is 18%. z= b. Determine the z-score such that the area to its left is 91%. z=
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- Find the 5 number summary for the data shown x 3.9 5.4 6.5 8.9 11.3 11.8 24.6 27.8 28.4 5 number summary:3.9 ____, ______, ______, 28.4Use the Locator/Percentile method described in your book, not your calculatorThe following data lists heights (in cm) of 10kids at a pediatrician's office:151, 139, 138, 137, 153, 148, 156, 161, 144, 168 In what percentile is the child who's height was 144cm? Percentile rank =The amount of time a service technician needs to change the oil in a car is uniformly distributed between 11 and 21 minutes. Let X = the time needed to change the oil on a car. c. Find the 50th percentile. Round to the nearest minute.
- A sample of blood pressure measurements is taken from a data set and those values (mm Hg) are listed below. The values are matched so that subjects each have systolic and diastolic measurements. Find the mean and median for each of the two samples and then compare the two sets of results. Are the measures of center the best statistics to use with these data? What else might be better? Systolic: 122 137 158 114 156 143 99 112 115 152 Diastolic: 61 51 76 73 55 58 74 60 87 59 Find the means. The mean for systolic is mm Hg and the mean for diastolic is mm Hg. (Type integers or decimals rounded to one decimal place as needed.) ***A sample of blood pressure measurements is taken from a data set and those values (mm Hg) are listed below. The values are matched so that subjects each have systolic and diastolic measurements. Find the mean and median for each of the two samples and then compare the two sets of results. Are the measures of center the best statistics to use with these data? What else might be better? Systolic: 147 137 146 148 105 102 129 122 95 99 Diastolic: 86 79 68 60 77 82 89 84 72 585.Identify the following as being discrete or continuous data. Explain.a. The average number of pets was 1.823b. The puppy weighed 2 pounds
- 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,…q26- Which of the following charts shows the five numbers summarising the distribution of a variable in a dataset? a. A boxplot b. A histogram c. A cumulative histogram d. A scatter plotFind the 5 number summary for the data shown 13 24 27 28 38 45 46 48 52 78 84 90 5 number summary: Use the Locator/Percentile method described in your book, not your calculator. Add Work Check Answer
- Construct a stem-and-leaf display of the data. What appears to be a representative strength value? Do the observations appear to be highly concentrated about the representative value or rather spread out? b. Does the display appear to be reasonably symmetric about a representative value, or would you describe its shape in some other way? c. Do there appear to be any outlying strength values? d. What proportion of strength observations in this sample exceed 10 MPa? The strength data for beams is attachedFind the 5 number summary for the data shown 17 21 29 30 36 42 56 60 88 91 94 97 5 number summary:Use the Locator/Percentile method described in your book, not your calculator.Statistics Question
