Magnetic surveying is one technique used by archaeologists to determine anomalies arising from variations in magnetic susceptibility. Unusual changes in magnetic susceptibility might (or might not) indicate an important archaeological discovery. Let x be a random variable that represents a magnetic susceptibility (MS) reading for a randomly chosen site at an archaeological research location. A random sample of 120 sites gave the readings shown in the table below.     Magnetic Susceptibility Readings, centimeter-gram-second ✕ 10−6 (cmg ✕ 10−6) Comment Magnetic Susceptibility Number of Readings Estimated Probability "cool" 0 ≤ x < 10 24 24/120 = 0.20 "neutral" 10 ≤ x < 20 60 60/120 = 0.50 "warm" 20 ≤ x < 30 24 24/120 = 0.20 "very interesting" 30 ≤ x < 40 6 6/120 = 0.05 "hot spot" 40 ≤ x 6 6/120 = 0.05Suppose a 'hot spot' is a site with a reading of 40 or higher.   A. In a binomial setting, let us call success a 'hot spot'. Use the table to find p= P(success) = p(40≤ x) for a single trial.    B. Suppose you decide to take readings at random until you find your first 'hotspot'. Let n be a random variable representing the trial on which you get your first 'hot spot'. Use the geometric probability distribution to write out a formula for P(n).    C. What is the probability that you will need more than six readings to find the first 'hot spot'? Compute P(n>6). (round to three decimal places)

QUESTION 10 Solve the problem. Find the standardized test statistic t for a sample with n = 12, x = 20.6, s = 2.1, and a = 0.01 if Ha: H 21.1. Round your answer to three decimal places. O a. -0.825 O b. -0.037 OC. -0.381 O d.-0.008

Question 6

The types of raw materials used to construct stone tools found at an archaeological site are shown below. A random sample of 1486 stone tools were obtained from a current excavation site. Raw Material Regional Percent of Stone Tools Observed Number of Tools as Current excavation Site Basalt 61.3% 893 Obsidian 10.6% 165 Welded Tuff 11.4% 179 Pedernal chert 13.1% 198 Other 3.6% 51 (A) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

F1