Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 5.8, Problem 31PS
a)
To determine
To calculate: The number of sub-intervals required to guarantee the accuracywith in 0.00005 byTrapezoidal’srule.
b)
To determine
To calculate: The number of sub-intervals required to guarantee the accuracywith in 0.00005 by Simpson’s rule.
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1) Use R for all parts of this problem. Use the data on heights you collected a few weeks ago.
(a) Do a t-test and test the following:
H0: μ = y for your recitation section vs. H1: μ ≠ yUse α = .01.(if, for example, your y = 64.72, then you would do H0: μ = 64.72)
(c) now repeat but add 4.75 to your y (so you'd do H0: μ = 69.47 ( = 64.72 + 4.75))
(d) repeat (c) but use α = .00000000001.
(You do not need to set α in R; make sure you understand why this is true!!) ← Don't ignore this!!
(e) what kind of error did you probably make in part (d)? (Just write out the answer here)R instructions:
To test, for example, that μ = 64.72, you need to give R this value. Just do: t.test(height,mu = 64.72)
(assuming you named your variable “height”; of course, you may have to do data$height or something similar depending on how you have your data in R).
The instructions for confidence intervals were given in a previous homework assignment (remember that R defaults to a 95% confidence interval).…
1) Use R for all parts of this problem. Use the data on heights you collected a few weeks ago.(a) Do a t-test and test the following:H0: μ = y for your recitation section vs. H1: μ ≠ yUse α = .01(if, for example, your y = 64.72, then you would do H0: μ = 64.72)(c) now repeat but subtract 4.75 from your ¯y (so you'd do H0: μ = 59.97 ( = 64.72 − 4.75))(d) repeat (c) but use α = .00000000001.(You do not need to (and should not) set α in R; make sure you understand why this is true!!) ← Don't ignorethis!!(e) what kind of error did you probably make in part (d)? (Just write out the answer for this question).R instructions:To test, for example, that μ = 64.72, you need to give R the value of μ:t.test(height,mu = 64.72)(assuming you named your variable “height”; of course, you may have to do data$heightor something similar depending on how you have your data in R).Since R gives you p-values ( = probabilities) you don't need to calculate or use t* (although Rautomatically prints this if you…
Chapter 5 Solutions
Calculus
Ch. 5.1 - Prob. 1PSCh. 5.1 - Prob. 2PSCh. 5.1 - Prob. 3PSCh. 5.1 - Prob. 4PSCh. 5.1 - Prob. 5PSCh. 5.1 - Prob. 6PSCh. 5.1 - Prob. 7PSCh. 5.1 - Prob. 8PSCh. 5.1 - Prob. 9PSCh. 5.1 - Prob. 10PS
Ch. 5.1 - Prob. 11PSCh. 5.1 - Prob. 12PSCh. 5.1 - Prob. 13PSCh. 5.1 - Prob. 14PSCh. 5.1 - Prob. 15PSCh. 5.1 - Prob. 16PSCh. 5.1 - Prob. 17PSCh. 5.1 - Prob. 18PSCh. 5.1 - Prob. 19PSCh. 5.1 - Prob. 20PSCh. 5.1 - Prob. 21PSCh. 5.1 - Prob. 22PSCh. 5.1 - Prob. 23PSCh. 5.1 - Prob. 24PSCh. 5.1 - Prob. 25PSCh. 5.1 - Prob. 26PSCh. 5.1 - Prob. 27PSCh. 5.1 - Prob. 28PSCh. 5.1 - Prob. 29PSCh. 5.1 - Prob. 30PSCh. 5.1 - Prob. 31PSCh. 5.1 - Prob. 32PSCh. 5.1 - Prob. 33PSCh. 5.1 - Prob. 34PSCh. 5.1 - Prob. 35PSCh. 5.1 - Prob. 36PSCh. 5.1 - Prob. 37PSCh. 5.1 - Prob. 38PSCh. 5.1 - Prob. 39PSCh. 5.1 - Prob. 40PSCh. 5.1 - Prob. 41PSCh. 5.1 - Prob. 42PSCh. 5.1 - Prob. 43PSCh. 5.1 - Prob. 44PSCh. 5.1 - Prob. 45PSCh. 5.1 - Prob. 46PSCh. 5.1 - Prob. 47PSCh. 5.1 - Prob. 48PSCh. 5.1 - Prob. 49PSCh. 5.1 - Prob. 50PSCh. 5.1 - Prob. 51PSCh. 5.1 - Prob. 52PSCh. 5.1 - Prob. 53PSCh. 5.1 - Prob. 54PSCh. 5.1 - Prob. 55PSCh. 5.1 - Prob. 56PSCh. 5.1 - Prob. 57PSCh. 5.1 - Prob. 58PSCh. 5.1 - Prob. 59PSCh. 5.1 - Prob. 60PSCh. 5.2 - 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Prob. 58PSCh. 5.7 - Prob. 59PSCh. 5.7 - Prob. 60PSCh. 5.8 - Prob. 1PSCh. 5.8 - Prob. 2PSCh. 5.8 - Prob. 3PSCh. 5.8 - Prob. 4PSCh. 5.8 - Prob. 5PSCh. 5.8 - Prob. 6PSCh. 5.8 - Prob. 7PSCh. 5.8 - Prob. 8PSCh. 5.8 - Prob. 9PSCh. 5.8 - Prob. 10PSCh. 5.8 - Prob. 11PSCh. 5.8 - Prob. 12PSCh. 5.8 - Prob. 13PSCh. 5.8 - Prob. 14PSCh. 5.8 - Prob. 15PSCh. 5.8 - Prob. 16PSCh. 5.8 - Prob. 17PSCh. 5.8 - Prob. 18PSCh. 5.8 - Prob. 19PSCh. 5.8 - Prob. 20PSCh. 5.8 - Prob. 21PSCh. 5.8 - Prob. 22PSCh. 5.8 - Prob. 23PSCh. 5.8 - Prob. 24PSCh. 5.8 - Prob. 25PSCh. 5.8 - Prob. 26PSCh. 5.8 - Prob. 27PSCh. 5.8 - Prob. 28PSCh. 5.8 - Prob. 29PSCh. 5.8 - Prob. 30PSCh. 5.8 - Prob. 31PSCh. 5.8 - Prob. 32PSCh. 5.8 - Prob. 33PSCh. 5.8 - Prob. 34PSCh. 5.8 - Prob. 35PSCh. 5.8 - Prob. 36PSCh. 5.8 - Prob. 37PSCh. 5.8 - Prob. 38PSCh. 5.8 - Prob. 39PSCh. 5.8 - Prob. 40PSCh. 5.8 - Prob. 41PSCh. 5.8 - Prob. 42PSCh. 5.8 - Prob. 43PSCh. 5.8 - Prob. 44PSCh. 5.8 - Prob. 45PSCh. 5.8 - Prob. 46PSCh. 5.8 - Prob. 47PSCh. 5.8 - Prob. 48PSCh. 5.8 - 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Prob. 40PSCh. 5.9 - Prob. 41PSCh. 5.9 - Prob. 42PSCh. 5.9 - Prob. 43PSCh. 5.9 - Prob. 44PSCh. 5.9 - Prob. 45PSCh. 5.9 - Prob. 46PSCh. 5.9 - Prob. 47PSCh. 5.9 - Prob. 48PSCh. 5.9 - Prob. 49PSCh. 5.9 - Prob. 50PSCh. 5.9 - Prob. 51PSCh. 5.9 - Prob. 52PSCh. 5.9 - Prob. 53PSCh. 5.9 - Prob. 54PSCh. 5.9 - Prob. 55PSCh. 5.9 - Prob. 56PSCh. 5.9 - Prob. 57PSCh. 5.9 - Prob. 58PSCh. 5.9 - Prob. 59PSCh. 5.9 - Prob. 60PSCh. 5 - Prob. 1PECh. 5 - Prob. 2PECh. 5 - Prob. 3PECh. 5 - Prob. 4PECh. 5 - Prob. 5PECh. 5 - Prob. 6PECh. 5 - Prob. 7PECh. 5 - Prob. 8PECh. 5 - Prob. 9PECh. 5 - Prob. 10PECh. 5 - Prob. 11PECh. 5 - Prob. 12PECh. 5 - Prob. 13PECh. 5 - Prob. 14PECh. 5 - Prob. 15PECh. 5 - Prob. 16PECh. 5 - Prob. 17PECh. 5 - Prob. 18PECh. 5 - Prob. 19PECh. 5 - Prob. 20PECh. 5 - Prob. 21PECh. 5 - Prob. 22PECh. 5 - Prob. 23PECh. 5 - Prob. 24PECh. 5 - Prob. 25PECh. 5 - Prob. 26PECh. 5 - Prob. 27PECh. 5 - Prob. 28PECh. 5 - Prob. 29PECh. 5 - Prob. 30PECh. 5 - Prob. 1SPCh. 5 - Prob. 2SPCh. 5 - Prob. 3SPCh. 5 - 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- The ideal diameter of a rod needed for a machine is 75 mm. The actual diameter can vary from the ideal diameterby 0.05 mm. What range of diameters will be acceptable to the customer without causing the rod to be rejected?arrow_forwardRefer to Figure 29-9 to determine the values in the table. Allowance is equal to the maximum interference. All dimensions are in millimetersarrow_forwardIf a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.arrow_forward
- 3. If you're given a value of a, then what do you do if the p-value < a? lity: Good to go E Focus a hp 12 ins prt se ho fg 144 & 6. 7. 8. 9. 00arrow_forward30. The radius of a puddle is claimed to be 12.0 inches, correct to within 0.01 inch. Use linear approximation to estimate the resulting error, measured in square inches, in the area of the puddle. + 0.24 + 0.024Tt + 0.06n + 0.0004166arrow_forwardB/ Determine the length of y = (8x + 3)2 from (11)2 < y s (27)/2? %3Darrow_forward
- 25. y(2x² + y²) = c². RESP. y? = 2x² In |kx|. %3Darrow_forward4. A box constructed from a rectangular paper has a volume of not more than 180 cubic cm. If the box has a width 5 cm shorter than its length and a height 2 cm longer than its length, find the possible dimensions of the box. Úse a graphical method to determine the root/s of the equation.arrow_forward1. The position of a particle along a straight line is given by s= (1.5³ - 13.5t² + 22.5t) ft, where t is in seconds. Determine the position of the particle when t = 6s and the total distance it travels during the 6-s time interval.arrow_forward
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