NBC News reported on May 2, 2013, that 1 in 20 children in the United States have a food allergy of some sort. Consider a random sample of 25 children and let X be the number in the sample who have a food allergy. Determine P(X 2 5). 0.05 O 0.0072 0.0341 0.0060
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- Twenty different statistic students are randomly selected. For each of them,their body temperature (° F) is measured and their head circumference (in) ismeasured. Without doing any research or calculations, estimate the value of r. Forthis sample of paired data, what does r represent?A study is to be made to estimate the proportion of residents of a certain city and its suburbs who favor the construction of a nuclear power plant near the city. How large a sample is needed if one wishes to be at least 90% confident that the estimate is within 0.03 of the true proportion of residents who favor the construction of the nuclear power plant?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 MagneticSusceptibility Number ofReadings EstimatedProbability "cool" 0 ≤ x < 10 30 30/120 = 0.25 "neutral" 10 ≤ x < 20 54 54/120 = 0.45 "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 = 0.05 Suppose a "hot spot" is a site with a reading of 40 or higher. (c) What is the probability that you will need more than five readings to find the first…
- One cable company claims that it has excellent customer service. In fact, the company advertises that a technician will arrive within 35 minutes after a service call is placed. One frustrated customer believes this is not accurate, claiming that it takes over 35 minutes for the cable technician to arrive. The customer asks a simple random sample of 4 other cable customers how long it has taken for the cable technician to arrive when they have called for one. The sample mean for this group is 39.l minutes with a standard deviation of 2.6 minutes. Assume that the population distribution is approximately normal. Test the customer's claim at the 0.10 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision.Many college and university students obtain summer jobs. A professor wanted to determine whether students in different degree programs earn different amounts. She randomly selected five students in each of the 4 university programs and asked them to report what they earned the previous summer (in thousands of dollars). The following partially filled-in ANOVA table was obtained. Fill-in the rest of the table. (Use exact values for df and round all other numbers to 2 decimal places, if needed.) Source df SS MS F-Stat Treatments 11.0 Error Total 23.7Magnetic 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 MagneticSusceptibility Number ofReadings EstimatedProbability "cool" 0 ≤ x < 10 36 36/120 = 0.30 "neutral" 10 ≤ x < 20 48 48/120 = 0.40 "warm" 20 ≤ x < 30 12 12/120 = 0.10 "very interesting" 30 ≤ x < 40 18 18/120 = 0.15 "hot spot" 40 ≤ x 6 6/120 = 0.05 Do the probabilities shown in the table add up to 1? Do the probabilities need to total to 1 a. Yes, they do add to 1. The probabilities must total to…
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