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Statistics Questions from Jan 20,2025

Browse the Statistics Q&A Archive for Jan 20,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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7.6 Given a normally distributed population with a mean of 75 and a variance of 625 , find: \( \begin{array}{ll}\text { (a) } P(50 \leq x \leq 100) & \text { (b) } P(x>90) \\ \text { (c) } P(x<60) & \text { (d) } P(x \geq 85) \\ \text { (e) } P(30 \leq x \leq 110) & \end{array} \) 7.5 If the total cholesterol values for a certain population are approximately normally distributed with a mean of \( 200 \mathrm{mg} / 100 \mathrm{ml} \) and a standard deviation of \( 20 \mathrm{mg} / 100 \mathrm{ml} \), find the probability that an individual picked at random from this population will have a cholesterol value: \( \begin{array}{ll}\text { (a) Between } 180 \mathrm{and} 200 \mathrm{mg} / 100 \mathrm{ml} & \text { (b) Greater than } 225 \mathrm{mg} / 100 \mathrm{ml} \\ \text { (c) Less than } 150 \mathrm{mg} / 100 \mathrm{ml} & \text { (d) Between } 190 \text { and } 210 \mathrm{mg} / 100 \mathrm{ml}\end{array} \) 7.4 Suppose the average length of stay in a chronic disease hospital of a certain type of patient is 60 days with a standard deviation of 15 . If it is reasonable to assume an approximately normal distribution of lengths of stay, find the probability that a randomly selected patient from this group will have a length of stay: \( \begin{array}{ll}\text { (a) Greater than } 50 \text { days } & \text { (b) Less than } 30 \text { days } \\ \text { (c) Between } 30 \text { and } 60 \text { days } & \text { (d) Greater than } 90 \text { days }\end{array} \) Lack of precision Lack of accuracy ect of the data is likely to cause evidence obta Outliers Data Set II: \( 50,49,48,51,52,50,50,49,51,53 \) ("correct" value = 65) Data Set III: \( 12,18,9,13,14,19,11,20,19,12 \) ("correct" value = 15) DONE For each data set, which aspect of the data is likely to cause evidence obtained from it to be inconsistent? Data Set I: \( 190,315,198,194,200,195,540,201,197,193 \) ("correct" value \( =195 \) ) Lack of precision Outliers Lack of accuracy A national chain of department stores ranks its \( 1,000,000 \) salespeople by the monetary value of their sales. Christine's sales are at the \( 38^{\text {th }} \) percentile. Alonzo's sales are at the \( 73^{\text {rd }} \) percentile. (a) Which of the following must be true about Christine's and Alonzo's sales? Both Christine and Alonzo had sales higher in value than the median. Both Christine and Alonzo had sales lower in value than the median. Alonzo's sales were higher in value than Christine's sales. Christine's sales were higher in value than Alonzo's sales. (b) Which of the following must be true about Christine's sales? About \( 38 \% \) of the salespeople had sales lower in value than Christine. The value of Christine's sales were about \( 38 \% \) of the chain's total. Christine sold \( \$ 3800 \) in merchandise. The red blood cell counts (in \( 10^{5} \) cells per microliter) of a healthy adult measured on 6 days are as follows. \[ 54,52,50,49,51,50 \] Send data to calculator Find the standard deviation of this sample of counts. Round your answer to two decimal places. Shen wants to find the average time it takes West High School students to run a lap around the track. So he will consider a sample of students to find the average time. Answer the questions below. (a) Which unit(s) could be used for the unit of measurement? Check all that apply, (b) Which of the procedures below would be the best way to find the average time? Randomly pick 32 students to run a lap around the track and measure their times. Randomly pick 6 students to run a lap around the track and have them state their own times. A2 volunteers to run a lap around the track and have them state their own times. Measure the times of 6 volunteers who run a lap around the track. 40. What is the interquartile range for the dataset shown? \( \{61,90,52,77,18,82,43\} \) 39 46 72 25 32. Choose the BEST reason for using the mode as the measure of central tendency. The dataset contains qualitative data. The dataset contains quantitative data. The dataset can only be summarized by the largest data value. The dataset can only be summarized using the average.
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