Which sampling method is best applied for the following situations? a. The teacher randomly selects 25 boys and 10 girls from a batch of scholars to be members of a group that will go to a field trip. b. A sample of 10 mice are selected at random from a set of 40 mice to test the effect of a certain medicine.
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Which sampling method is best applied for the following situations?
a. The teacher randomly selects 25 boys and 10 girls from a batch of scholars to be members of a group that will go to a field trip.
b. A sample of 10 mice are selected at random from a set of 40 mice to test the effect of a certain medicine.
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- Suppose that Mairin has knit a collection of wool‑blend infinity scarves that she wants to sell in her Etsy shop for $28.00 each. However, she is worried that if the average price of comparable scarves is less than $28.00, hers would be less likely to sell. Mairin selected a random sample of 9 similar hand‑knit, wool‑blend infinity scarves, and their prices are as follows. $21.75,$24.00,$27.25,$29.95,$23.00,$26.00,$27.80,$33.50,$27.00$21.75,$24.00,$27.25,$29.95,$23.00,$26.00,$27.80,$33.50,$27.00 Use a left‑tailed one‑sample ?t‑test to determine whether the average price of hand‑knit, wool‑blend infinity scarves sold on Etsy is less than $28.00. Assume that the prices of all comparable scarves are normally distributed. Mairin should (reject, accept, fail to accept) her null hypothesis. There is (sufficient, no, insufficient) evidence that the mean price of hand‑knit, wool‑blend infinity scarves is (greater than, different from, less than, equal two) $28.00.An article about the California lottery gave the following information on the age distribution of adults in California: 35% are between 18 and 34 years old, 51% are between 35 and 64 years old, and 14% are 65 years old or older. The article also gave information on the age distribution of those who purchase lottery tickets. The following table is consistent with the values given in the article. Suppose that the data resulted from a random sample of 200 lottery ticket purchasers. Based on these sample data, is it reasonable to conclude that one or more of these three age groups buys a disproportionate share of lottery tickets? Use a chi-square goodness-of-fit test with ? = 0.05. Age of Purchaser Frequency 18–34 36 35–64 130 65 and over 34 Calculate the test statistic. (Round your answer to two decimal places.) ?2 = Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? The data strong evidence to conclude…Suppose that a consultant is helping the owner of a local jewelry store set prices for a sale. The owner is considering applying a discount to its most popular engagement ring, currently priced at $1500. The consultant wants to determine if the average amount consumers spend on similar engagement rings is more than $1500. To do this, she selects a random sample of 15 other jewelry stores in the area and records the prices of engagement rings with a similar style, cut, and weight. The prices of these rings are shown below. $1400, $1230, $1450, $1175, $1850, $1060, $1390, $1260, $2850, $1580, $1500, $1850, $1770, $1400, $1775 Using this sample data, she calculates a mean of $1569.33 and a standard deviation of $432.16 and plans to use this information to conduct a one-sample t-test of Ho μ = $1500 against H₁ μ> $1500. Is this an appropriate use of a one-sample t-test? No, because the sample contains an outlier. Yes, because the population is normally distributed. Yes, because the data…
- A vaccine to prevent a severe virus was given to children within the first year of life as part of a drug study. The study reported that of the 3456bchildren randomly assigned the vaccine, 58 got the virus. Of the 1606 children randomly assigned the placebo, 46 got the virus. a. Find the sample percentage of children who caught the virus in each group. Is the sample percentage lower for the vaccine group, as investigators hoped? b. Determine whether the vaccine is effective in reducing the chance of catching the virus, using a significance level of 0.01.The first few steps of the hypothesis-testing procedure are given. Complete the procedure.2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:An experiment to determine the most effective way to teach safety principles applied four different teaching methods. Some employees were given programmed instruction booklets and worked through the course at their own pace. Other employees attended lectures. A third group watched a television presentation, and a fourth group was divided into small discussion groups. A high of 10 was possible. A sample of five tests was selected from each group. The test grade results were: Sample Number Programmed Instruction Lecture TV Group Discussion 1 6 8 7 8 2 7 5 9 5 3 6 8 6 6 4 5 6 8 6 5 6 8 5 5 At the 0.01 level, what is the critical value? Multiple Choice 1.00 1.96 3.24 5.29
- A random sample of 10 compact cars, 10 mid-size cars, and 10 luxury cars were selected. The time (in seconds) each of the randomly selected cars required to accelerate from 0 to 60 mph was looked up on the Autos.com website. The results are presented below. Car Type Time (in seconds) Required to Accelerate from 0 to 60 mph Compact 9.3 8.1 10.2 8.8 9.0 9.3 7.7 9.2 9.4 8.6 Mid-Size 6.9 5.7 8.3 7.7 8.6 5.9 6.1 8.8 6.1 7.2 Luxury 5.7 6.3 5.4 4.7 6.2 7.0 5.9 5.3 6.3 5.0 Conduct a hypothesis test using ! = 0.05 to determine whether the mean time required to accelerate from 0 to 60 mph is the same for compact, mid-size, and luxury cars. (No accounting or excel, I need help solving it.)A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs should be located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 130 people living in Gastown and finds that 25 have an annual income that is below the poverty line.Snoqualmie” is a name shared by a waterfall and a tribe of Native Americans. In a study of the cultural importance of the waterfall, two groups of the Snoqualmie tribe were randomly surveyed. One group consisted of Snoqualmie members living less than 25 miles from the waterfall. Another group consisted of Snoqualmie members living more than 25 miles from the waterfall. The researchers asked each member to rate the cultural importance of the waterfall as low, medium, or high. Data from the study are presented in the following table. Members Living More Than 25 Miles from the Waterfall Members Living Less Than 25 Miles from the Waterfall Total Low 25 17 42 Medium 8 21 29 High 5 12 17 Total 38 50 88 If the distributions of ratings are the same for those Snoqualmie members living less than 25 miles from the waterfall and those living more than 25 miles from the waterfall, which of the following is equal to the expected count of members living less than 25 miles from the…
- A father is concerned that his teenage son is watching too much television each day, since his son watches an average of 2 hours per day His son says that his TV habits are no different than those of his friends. Since this father has taken a stats class, he knows that can actually test to see whether or not his son is watching more TV than his peers The father collects a random sample of watching times from boys at his son's high school and gets the following data: 1.9, 2.3, 2.2, 1.9, 1.6, 2.6, 1.4, 2.0, 2.0, 2.2 Find a 95% confidence interval for the true mean number of hours teenagers at that school watch TV. a. Confidence Interval b. ConclusionTo try to predict the outcome of the vote for the school board election, a town manager used random numbers to pick 100 registered voters. She then called these voters and asked how they planned to vote. Is the sample taken in this problem representative of the population? Choose the correct answer below. O A. Yes, because it is a simple random sample. O B. No, because it does not contain the same number of subjects as the population. O C. Yes, because it is a systematic sample. O D. Yes, because it contains the same number of subjects as the population.Lumber companies dry freshly-cut wood in kilns before selling it. As a result of this drying process, a certain percentage of the boards crack. The current drying procedure is known to produce cracks in 16% of the boards. The drying supervisor wants to test a new method so as to reduce the proportion of cracked boards. Suppose the drying supervisor uses the new method on a random sample of 50 boards and finds that the sample proportion of cracked boards is 0.11, which yields a P-value of 0.027. (a) Interpret the P-value in the context of the problem. (b) What conclusion should the supervisor draw at the = 0.05 level? (c) What conclusion should the supervisor draw at the = 0.01 level?
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