(a) Determine the mean and the standard deviation for each data set.
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(a) Determine the mean and the standard deviation
for each data set.
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- Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector measures 10 spacers and records the following thicknesses: 0.372" 0.376" 0.379" 0.375" 0.370" 0.373" 0.377" 0.378" 0.371" 0.380" Which spacers are defective (above the maximum limit or below the minimum limit)? All dimensions are in inches.Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?A Bitter Dispute With the publication of Ars Magna, a dispute intensified between Jerome Cardan and another mathematician named Niceolo Fontana, otherwise known as Tartaglia. What was the dispute, and how did it arise? In your opinion, who was at fault? Write a paragraph or two about your findings.
- --In an experiment to determine whether there is a systematic difference between the weights obtained with two different scales, 10 rock specimens were weighed, in grams, on each scale. The following data was obtained: 1 2 3 4 5 6 7 8 9 10 Weight on scale 1 11.14 15.38 8.33 10.30 23.44 9.13 13.46 6.44 12.51 19.35 Weight on scale 2 11.2 15.43 8.39 10.33 23.41 9.14 13.50 6.43 12.54 19.34 Construct a 96% confidence interval for the mean difference in weight between the two scales. Interpret the results. INTERPRET THE RESULTSThe number of contaminating particles on a silicon wafer prior to a certain rinsing process was determined for each wafer in a sample of size 100, resulting in the following frequencies: Number of particles 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Frequency 1 3 3 12 11 15 18 10 11 4 5 3 1 2 1 (a) What proportion of the sampled wafers had at least one particle? At least five particles? (Round your answers to two decimal places.) at least one particle Answer:__________ at least five particles Answer:__________ (b) What proportion of the sampled wafers had between five and ten particles, inclusive? Strictly between five and ten particles? (Round your answers to two decimal places.) between five and ten particles, inclusive Answer:___________ strictly between five and ten particles Answer:___________ (c) Draw a histogram/bar chart using relative frequency on the vertical axis.Answer:How…Calculate the 95% interval estimate for the population proportion of getting “1”s from throwing a goat astragalus based on the sample of 1,000 throws described in Question 11