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In 1950, a research team digging near Folsom, New Mexico, found charred bison bones along with some leaf-shaped projectile points (called the "Folsom points") that had been made by a Paleo-Indian hunting culture. It was clear from the evidence that the bison had been cooked and eaten by the makers of the points, so that carbon-14 dating of the bones made it possible for the researchers to determine when the hunters roamed North America. Tests showed that the bones contained between
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- L10Q6.Compute the probability of getting face 1 when we roll a die.arrow_forwardAn article reported the following frequencies with which ethnic characters appeared in recorded commercials that aired on Philadelphia television stations. Ethnicity: Frequency: African American 69 = USE SALT State the appropriate hypotheses. Ho: P₁ = P₂ = P3 = P4 = 0.250 Ha: at least one p; # 0.25 Asian 11 Caucasian 330 In a recent census, the proportions for these four ethnic groups are 0.177, 0.020, 0.734, and 0.069, respectively. Does the data suggest that the proportions in commercials are different from the census proportions? Carry out a test of appropriate hypotheses using a significance level of 0.01. (Let P₁, P₂, P3, and P4 be the population proportions of the four ethnic groups (African American, Asian, Caucasian, and Hispanic respectively) appearing in commercials on Philadelphia television stations.) Ho: P₁ = 0.069, P₂ = 0.011, P3 = 0.330, P4 = 0.007 Ha: at least one p; # Pio O Ho: P1 = 0.177, P₂ = 0.020, P3 = 0.734, P4 = 0.069 H₂: at least one p; # Pio Hispanic 7 O Ho: P₁…arrow_forwardZhou and Vohs (2009) published a study showing that handling money reduces the perception pain. In the experiment, a group of college students was told that they were participating in a manual dexterity study. Half of the students were given a stack of money to count and the other half got a stack of blank pieces of paper. After the counting task, the participants were asked to dip their hands into bowls of very hot water (122 degrees) and rate how uncomfortable it was. The following data show ratings of pain similar to the results obtained in the study. Is there a significant difference in reported pain between the two conditions? Use a two-tailed test with alpha= .05 Counting Money Counting Paper 7 9 8 11 10 13 6 10 8 11 5 9 7 15 12 14 5 10 1.State the hypothesis a.H0: b.H1: 2. Locate the critical region a.df = b.The critical value of t = 3.Compute the statistic a.Pooled variance (s2p) = b.standard error (sM-M) = c.t = d. Cohen's d = e.r2= f. Confidence…arrow_forward
- The following conclusion from a study appeared in the article "Smartphone Nation"†: "If you love your smartphone, you are not alone. Half of all boomers sleep with their cell phones within arm's length. Two of three people ages 50 to 64 use a cell phone to take photos, according to a 2010 Pew Research Center report." Are the given proportions (half and two of three) population values, or were they calculated from a sample?arrow_forwardWhen spinning a penny, Claire believes the proportion of times the penny lands on heads is not 0.5. She spins a penny 50 times and it lands on heads 30 times. Which hypotheses would test Claire's claim? O Hoip = 0.6, Hap = 0.6 O Ho:p = 0.6, H p > 0.6 O Hoip = 0.5, H,p = 0.5 O Hoi p = 0.5, Ha p= 0.5arrow_forwardAn education researcher claims that 60% of college students work year-round. In a random sample of 500 college students, 300 say they work year-round. At a = 0.10, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Ho and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. At least % of college students work year-round. O B. At most % of college students work year-round. %. O C. The percentage of college students who work year-round is not OD. % of college students work year-round. Let p be the population proportion of successes, where a success is a college student who works year-round. State Ho and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. Ho: p< O B. Ho: p2 O C. Ho: P=arrow_forward
- In the vertical-horizontal line illusion, the two lines are exactly the same length, but the vertical line appears to be much longer. To examine the strength of this illusion, a researcher prepared an example in which both lines were exactly 10 inches long. The example was shown to individual participants who were told that the horizontal line was 10 inches long and then were asked to estimate the length of the vertical line. For a sample of n = 25 participants, the average estimate was M = 12.2 inches with a standard deviation of s = 1.00. Calculate t statistic.arrow_forwardIn the vertical-horizontal line illusion, the two lines are exactly the same length, but the vertical line appears to be much longer. To examine the strength of this illusion, a researcher prepared an example in which both lines were exactly 10 inches long. The example was shown to individual participants who were told that the horizontal line was 10 inches long and then were asked to estimate the length of the vertical line. For a sample of n = 25 participants, the average estimate was M = 12.2 inches with a standard deviation of s = 1.00. Calculate r2.arrow_forwardAn article reported the following frequencies with which ethnic characters appeared in recorded commercials that aired on Philadelphia television stations. African American Ethnicity: Asian Caucasian Hispanic Frequency: 59 11 330 n USE SALT In a recent census, the proportions for these four ethnic groups are 0.177, 0.03o, 0.734, and 0.059, respectively. Does the data suggest that the proportions in commercials are different from the census proportions? Carry out a test of appropriate hypotheses using a significance level of 0.01. (Let p,, P2, Pa, and P, be the population proportions of the four ethnic groups (African American, Asian, Caucasian, and Hispanic respectively) appearing in commercials on Philadelphia television stations.) State the appropriate hypotheses. O Ho: P, = P, = P, = P, - 0.250 H: at least one p; + 0.25 О н р, 3 0.059, р, - 0.011, р, %3D 0.330, р, %3D 0.008 H: at least one p, + Pio О нр, - 0.177, р, %3 0.030, р, 3D 0.734, р, - 0.059 H: at least one p,+ Pio О нр, 3…arrow_forward
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill