Heights (cm) of a random sample of students at a small Midwestern college:183 154 170 189 187 176 193 150 181 187162 175 157 159 185 164 189 173 166 179157 177 169 159 188 191 163 183 177 1801. Use these data for the following problems (input into a list and run the 1-VarStats).a. Find point estimates of u and o.b. Assume that o=12, construct a 95% confidence interval with the data and interpret in termsof the problem.C.(5)Find the margin of error m and the width of the confidence interval above.

From the given information we find the solution.

Answered: Heights (cm) of a random sample of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…
The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age (Newsweek, January 19, 2004). The following show the hours of sleep on weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older. Hours of Sleep Age Fewer than 6 6 to 6.9 7 to 7.9 8 or more Total 49 or younger 37 59 76 68 240 50 or older 33 60 76 91 260 a. Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use a = .05. Use Table 12.4. 2 Compute the value of the X test statistic (to 2 decimals). The p value is greater than .10 What is your conclusion? Cannot reject the assumption that age and hours of sleep are independent V b. Using the total sample of 500, estimate the percentage of people who sleep less than 6, 6 to 6.9, 7 to 7.9, and 8 or more hours on weeknights (to 1 decimal). Less than 6 hours 6 to 6.9 hours % 7 to 7.9 hours % 8 or more hours
Heights are measured, in inches, for a sample of undergraduate students, and the five-number summary for this data set is given in the table below. From this five-number summary, what can we conclude? minimum=59 Q1=64 median=67 Q3=69 maximum= 74 1. 50% of the heights are between 59 inches and 74 inches. 2. 75% of the heights are below 64 inches. 3. 25% of the heights are above 69 inches. 4. 25% of the heights are between 67 and 74 inches. 5. 50% of the heights are between 59 and 69 inches.
Altman and Bland report the survival times for patients with active hepatitis, half treated with prednisone and half receiving no treatment.7 The data that follow are adapted from their data for those treated with prednisone. The survival times are recorded to the nearest month:8 87 127 14711 93 133 14852 97 139 15757 109 142 16265 120 144 165a. Look at the data. Can you guess the approximate shape of the data distribution?b. Construct a relative frequency histogram for the data. What is the shape of the distribution?c. Are there any outliers in the set? If so, which survival times are unusually short?
The following table lists the calories per 100 milliliters of 25 popular beers. Construct abox-and-whisker plot for the data set. Find Q1, Q2, Q3, IQR, Minimum and Maximum values.
The following histogram summarizes height data, in cm, for a sample of male participants in the 2015-2016 National Health and Nutrition Examination Survey. 40 35 00 30 25 25 Frequency 20 20 15 10 5 NHANES Male Heights 0 87.3 97.5 107.7 117.9 128.1 138.3 148.5 158.7 168.9 179.1 189.3 Height (cm) XLSTAT Trial What relationship do you expect between the mean and median male height? The mean and median are approximately equal. The mean is greater then the median. The mean is less than the median.

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