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Valerie Mendez (vam2536) Lab 0 Part 1:
Is the Marble a Sphere? Method: We are testing whether the marbles provided are spheres.
While they seem like spheres from their appearances, we still must confirm through our data. We used a tape measure to quickly measure the diameters of three marbles: a large blue and yellow marble, and two other colored marbles (blue and white) of the same size. In order to account for overlaps in uncertainty, three diameters per marble were measured in inches and compared using the formula that states a marble with equal diameters is spherical (D1=D2=D3). The results were as follows: For more accurate measurements, we measured the diameter of the same marbles again using calipers and a micrometer. We recorded three trials for three distinct diameters for every marble, for a total of nine trials per marble. The conclusion on sphericity would subsequently be reached by comparing the averages of each diameter. By using this procedure, the random uncertainty for each measured diameter as well as the overall result would be reduced. As a result, the data's stated source of uncertainty is systematic. Data
: The data was gathered by measuring three different diameters from the marble with three different measuring tools. Table 1: Marble Diameters using Tape Measure Blue and Yellow Marble Blue Marble White Marble Trial Diameter (In) Uncertainty (In) Diameter (In) Uncertainty (In) Diameter (In) Uncertainty (In) 1 0.6692 0.0005 0.5118 0.0005 0.5117 0.0005 2 0.6682 0.0005 0.5511 0.0005 0.5120 0.0005 3 0.6690 0.0005 0.5314 0.0005 0.4724 0.0005 Table 2: Marble Diameters using a Dial Caliper Blue and Yellow Marble Blue Marble White Marble Trial Diameter (In) Uncertainty (In) Diameter (In) Uncertainty (In) Diameter (In) Uncertainty (In) 1 0.6342 0.0005 0.6724 0.0005 0.5297 0.0005 2 0.6331 0.0005 0.6662 0.0005 0.5242 0.0005 3 0.6326 0.0005 0.6708 0.0005 0.5326 0.0005 Table 3: Marble Diameters using Screw Gauge Micrometer Blue and Yellow Marble Blue Marble White Marble Trial Diameter (In) Uncertainty (In) Diameter (In) Uncertainty (In) Diameter (In) Uncertainty (In) 1 0.6312 0.0005 0.5874 0.0005 0.5252 0.0005 2 0.6322 0.0005 0.5908 0.0005 0.5268 0.0005 3 0.6289 0.0005 0.5982 0.0005 0.5253 0.0005 Conclusion
: The hypothesis that all the marbles are spheres is not supported by our data. These results were contradicted by the primary experiment, which was verified by decreased uncertainty brought about by more
Valerie Mendez (vam2536) Lab 0 trials and increased accuracy. Blue and Yellow marble had average diameters of 0.67 +/- 0.0005 in, 0.64 +/- 0.0005 in, and 0.63 +/- 0.0005 in. As the second and third diameters do not overlap, they cannot be considered equal, so the blue and yellow marble cannot be spherical by the formula D1=D2= D3. Small blue marble had average diameters of 0.53 +/- 0.0005 in, 0.67+/- 0.0005 in, and 0.59 +/- 0.0005 in so the blue marble is not spherical. The white marble had average diameters of 0.49 +/- 0.0005 in, 0.53 +/- 0.0005 in, and 0.52 +/- 0.0005 in, so the white marble is not spherical. A few possibilities for the next iteration of the experiment would be to use the micrometer for more accurate precise measurement, measure more of the diameters from the marbles for more data and use new unchipped marbles to get more accurate data. Should we sue the manufacturer? I don’t think so, because marble is still in a general area when compared to a sphere, so I don’t think it's far off even if its diameters do not match. Part 2:
Does Color Influence Rolling Time? Method
: The goal for this part is to determine the dependence of a marble's rolling time down a ramp on its color and size. We predict color has no effect on rolling time, while the size difference does. The two same-sized marbles, as previously confirmed, are not precisely spherical; their deviance from sphericity will likely affect their respective rolling times. Using the same marbles from the previous experiment, we fixed a wooden ramp at an incline and placed an object at the end as a stopper. Then, we recorded the time it took for one of the small marbles to roll down the ramp and repeated for a total of 5 trials each. We then repeated the procedure for the second, differently colored(white) marble, then again for the extra marble (blue). The uncertainty values cited in the data are the standard deviations of the means of the trials. We predict that there won't be a difference in the rolling times between the two marbles because none of these factors are dependent on color. We're going to use the stopwatch to measure time. Every time, we will merely change the marble's color; the ramp's length and angle will remain constant. We will begin by timing how long it takes a marble to roll down a ramp five times, from which we will calculate the mean and standard deviation. A few of the influences on the marble as it rolls down the ramp include gravitational force, friction with the ramp and/or the air, angle of the incline, and wobble of the incline.
Data
: The seconds each marble produced from rolling down the ramp. Table 4: Rolling times for Marbles Blue and Yellow White Marble Blue Marble Trial Time (s) Uncertainty (s) Trial Time (s) Uncertainty (s) Trial Time (s) Uncertainty (s) 1 2.44 0.01 1 2.01 0.01s 1 1.85 0.01 2 2.25 0.01 2 1.91 2 1.92 0.01 3 2.00 0.01 3 2.21 3 2.11 0.01
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- 1. Solve for a when x = and z = = 3.19, 8.1 and σ = 4.7. 2. Claim: More than 3.8% of homes have only a landline telephone and no wireless phone. Sample data: A survey by the National Center for Health Statistics showed that among 14,424 homes 5.76% had landline phones without wireless phones. Complete parts (a) and (b). (a) Express the original claim in symbolic form. Let the parameter represent a value with respect to homes that have only a landline telephone and no wireless phone. (b) Identify the null and alternative hypotheses. 3. In a test of a sex-selection technique, results consisted of 228 female babies and 10 male babies. Based on this result, what is the probability of a female being born to a couple using this technique?arrow_forward... This problem has been solved! See the answer In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 10 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cm cubed. An analysis of the sample data revealed that the hippocampal volume is approximately normal with x =8.08 cm cubed and s=0.7 cm cubed. Conduct the appropriate test at the 0.01 level of significance. State the null and alternative hypotheses. Upper H 0: mu equals 9.02 Upper H 1: mu less than 9.02 Identify the t-statistic. (Round to two decimal places as needed. Identify the P-value. P-value(Round to three decimal places as needed Make a conclusion regarding the hypothesis. ▼ Fail to reject Reject the null hypothesis. There ▼ is is not sufficient evidence…arrow_forwardQ.2. Because of potential variability in aging due to different castings and segments on the castings, a Latin square design with N=7 was used to investigate the effect of heat treatment on aging. With A= castings, B = Σχ = 297,216.90, segments, C = heat treatments, summary statistics include x... = 3815.8, Σχ = 297,155.01, and 297,200.64, = 297,317.65. Obtain the ANOVA table and test at level .05 the hypothesis that heat treatment has no effect on aging.arrow_forward
- The perimeter of a rectangle is 54cm. It’s length is 14cm. Find its breadth.arrow_forwardA ALEKS - Tristan Bailey - CW 1.6 Review 2-D Figures - Google Chrome www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNslkr7j8P3jH-IQ0Bcp45Q4YfuQitU-nDdgoCuyP14B03ysCiwv ||| CW 1.6 Review 2-D Figures Question 15 of 20 (1 point) | Question Attempt: 1 of 3 Find the area of the right triangle. Check Area || 1 unit 17 V 17 square units A W X 6 2022 McGraw Hill LLC. All Rights R-arrow_forwardThe table available below shows the weights (in pounds) for a sample of vacuum cleaners. The weights are classified according to vacuum cleaner type. At a = 0.05, can you conclude that at least one mear vacuum cleaner weight is different from the others? Click the icon to view the vacuum cleaner weight data. I DU I DLU Ha: At least one of the means is different. i Weight of Vacuum Cleaners by Type O B. Ho: At least one of the means is different. Ha: HBU = HBLU = HTC O C. Ho: HBu = "BLU = HTC Ha: HBU * HBLU # HTC Bagged upright Bagless upright Top canister 23 24 20 23 21 26 20 22 19 19 17 22 O D. Ho: HBU # HBLU # HTC Ha: HBU = HBLU = HTC 24 23 26 21 22 23 What is the test statistic? Print Done F = (Round to two decimal places as needed.)arrow_forward
- Can people tell the difference between a female nose and a male nose? This research question was examined in an article. Eight Caucasian males and eight Caucasian females posed for nose photos. The article states that none of the volunteers wore nose studs or had prominent nasal hair. Each person placed a black Lycra tube over his or her head in such a way that only the nose protruded through a hole in the material. Photos were then taken from three different angles: front view, three-quarter view, and profile. These photos were shown to a sample of undergraduate students. Each student in the sample was shown one of the nose photos and asked whether it was a photo of a male or a female. The response was then classified as either correct or incorrect. The following table was constructed using summary values reported in the article. Sex ID View Front Profile Three-Quarter Correct 29 26 23 Incorrect 11 14 17 Is there evidence that the proportion of correct sex…arrow_forwardPlease only solve part b, c, and darrow_forwardHelp. Pleasearrow_forward
- 9:04 AM Sun 21 May < Question 4 AA The Good Doctor Season 1 Episode 10: Sacrifice Full HD online MyFlixer ●●● apclassroom.collegeboard.org B X Pre-AP Geometry with Statistics: Assignments Figure 1 Figure 2 Sylvia conducts an experiment using two long pieces of a cord and a spherical ball that has been cut in half. The radius of the spherical ball is 8 centimeters. She wraps the first cord around the hemisphere of the ball until it is completely covered, as shown in Figure 1. She cuts the cord and removes it from the ball. She then wraps the second cord around the bottom circle of the ball until it is completely covered, as shown in Figure 2. She again cuts the cord and removes it from the circular base. Which of the following correctly compares the lengths of the cords and best justifies the reason for this relationship? The length of the first cord must be approximately equal to the length of the second cord because the surface area of the hemisphere is the same as the area of its…arrow_forwardTHIS IS NOT A GRADED QUESTION SO PLEASE PLEASE ANSWER PLEASE PLEASE AT LEAST TRY TO ANSWER PLEASE ANSWER SUPER FAST For the first image attached please do the calculations similar to the second image attached Please do hypothesis testing for the image attached please do the 13 step write up I provided Hypothesis Testing (13 Step Write Up for FRQs) 1. State the parameter, u or p. 2. State Ho 3. State Ha 4. State a. 5. Check the assumptions. 6. State the distribution. 7. State the name of the test. 8. State the df, if applicable. 9. Write the formula for the test statistic. 10. Write the formula for the test statistic with your specific numbers plugged in. 11. Calculate the P-value. 12. Draw a picture of the distribution with the appropriate area shaded. 13. State your conclusion - Do you reject or fail to reject Ho? Do you have or not have sufficient evidence for Ha? - State and interpret Type 1 and Type 2 errors. - Results are statistically significant if the null is rejected…arrow_forward: OCPS Dashboard Performance Matters | OLA Dashboard olaocps.performancematters.com Apps . OCPS Conga! Dashboard :s OCPS Dashboard S Google Drive * Login B Reading list D Performance Matters Welcome, Johannl Question 2 of 10 Submit Test 02.CI.GeometryandGeometryHonors.CRM2.2_... Tools - A partially completed proof is shown. Given: KM I KJ and KM 1 MN ZJ ZN Prove: AKLJ - AMLN Statement Reason 1. KM 1KJ and KM I MN ZJ z /N 2. ZJKL and ZNML are right angles 2. 1. Given 3. All right angles are congruent. 3. 4. AKLJ - A MLN Select the correct reason that justifies Statement 4. Next > 10:57 AM 1/28/2022 < Previousarrow_forward
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