A geologist has selected 9 specimens of basaltic rock and 10 specimens of granite rock. The geologist instructs her assistant to randomly choose 15 of these specimens for analysis. (a) Determine the pmf for X = the number of granite specimens chosen (b) What is the probability that all specimens of one of the two types are selected for analysis?
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A geologist has selected 9 specimens of basaltic rock and 10 specimens of granite rock. The geologist instructs her assistant to randomly choose 15 of these specimens for analysis.
(a) Determine the pmf for X = the number of granite specimens chosen
(b) What is the
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- A recent survey showed that 94 adults out of a sample of 500 have high blood pressure. However, 108 of those studied reported being unwilling to change their diet. Based on this sample, if an adult is chosen at random, what is the probability that he or she is open to trying to eat more healthfully? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.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, -6 centimeter-gram-second x 10 Magnetic (cmg x 10-6) Number of Estimated Susceptibility 0 5 and nq > 5 are both satisfied. Yes, it is appropriate since n 2 30. O Yes, it is appropriate since the criterian > 100 and np 5 and nq > 5 are not satisfied.ABC Manufacturing Company had manufactured a batch that has 600 parts. 30 parts do not conform to client's requirements. If two parts are selected at random, without replacement, from the batch. Let the random variable X equal the number of nonconforming parts in the sample. Determine E(x) and V(x). Upload Choose a File
- Dandelions have effects on crop production and lawn growth and are studied. In one region, the mean number of dandelions per square meter was found to be 10.8.Find the probability of no dandelions in an area of 1 m².P(X=0)=P(X=0)= Find the probability of at least one dandelion in an area of 1 m².P(at least one) = Find the probability of at most two dandelions in an area of 1 m².P(X≤2)=P(X≤2)=Mark performed a two-sample z-test for proportions to test the hypothesis that there was no difference in the proportion who support increasing student fees between male and female students at a particular university. Mark obtained a z-statistic of 0. Based on this information, which of the following is always true. The sample proportions for male and females will be the same as the hypothesized proportions for male and female students at this university. The sample proportions for both male and female students at this university will be 0. All male and female students in the sample will feel the same way about supporting the increase in student fees. The sample proportions will be the same for both male and female students at this university. Test whether p1>p2 The sample data are x1=116,n1=258,x2=135,n2=311. Conduct a test at the α=0.10 level of significance. Determine the correct null and alternative hypothesis below. Determine the test statistic. Find the P-value: What is…Twenty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 70% can be repaired, whereas the other 30% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly four will end up being replaced under warranty? (Round your answer to three decimal places.) USE SALT 0.200 X You may have forgotten to multiply or divide by 100.
- Find the p-value for a two-tailed test, where z= -1.68The table summarizes results from pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 62 84 No 281 551 If two different pedestrian deaths are randomly selected, find the probability that they both involved drivers that were intoxicated.Report the answer rounded to four decimal place accuracy.Katie is interested if an association exists between age and sleep habits. She selects a random sample of 68 adults in three age groups and determines whether they sleep less than 7 hours, between 7 and 8 hours, or more than 8 hours each night. She would like to determine if there is convincing evidence of an association. Let = 0.05. What are the hypotheses for this test? H0: There is an association between age and sleep habits.Ha: There is no association between age and sleep habits. H0: There is no association between age and sleep habits.Ha: There is an association between age and sleep habits. H0: There is no difference in the distribution of age and sleep habits.Ha: There is a difference in the distribution of age and sleep habits. H0: There is a difference in the distribution of age and sleep habits.Ha: There is no difference in the distribution of age and sleep habits.
- You want to study the probability of a single slug surviving one day after excessive heat exposure, so you design an experiment where you expose 100 slugs to a temp of 40 degrees Celcius for 6hrs then record the casualties and survivals after 24hrs. In the end, 45 slugs died. a. Determine the probability of all possible events b. Based on your experimental results, determine the probability of the single snail surviving c. How many individuals would you expect to survive after 24hrs from exposure if the experiment was run with 520 slugs instead of 100?The data in the table represent the number of hours of pain relief provided by 5 different brands of headache tablets administered to 25 subjects. The 25 subjects were randomly divided into 5 groups and each group was treated with a different brand. Test at 0.05 A C 9. 7 4. 17 8. 8. 2 4 9. 6. 3. 1 3. 6. 4 7 SStot = SSbet = SSwit = MSbet = MSwit = Fratio =Compute the test statistic
