Determine the sampling method described in each of these studies.
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- Consider a study where the objective is to determine whether the type of frame of a bicycle could affect your travel time to work. On each of 56 days from mid-January to mid-July 2010, Dr Jeremy Groves tossed a coin to decide whether he would ride the 27 miles to work on his carbon frame bicycle or on his steel frame bicycle. He collected the following data: Carbon frame: Sample size: 26 days Mean commute time: 108.34 minutes SD: 6.25 minutes Steel frame: Sample size: 30 days Mean commute time: 107.81 minutes SD: 4.89 minutes Suppose we use as sample statistic the difference in sample means (108.34 - 107.81). Find the lower limit of a theory-based 99% confidence interval. Round your answer to 3 decimal places.Identify whether the studies described here are based on (1) single samples, (2) paired samples, or (3) independent samples. Cardiovascular disease risk factors are compared in husbands and wives. A nutritional exam is applied to a random sample of individuals. Results are compared to the results of the whole nation. An investigator compares vaccination histories in 30 autistic schoolchildren to a simple random sample of non-autistic children from the same school district.When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion is an unbiased estimator of a 1 1 population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is, and this is not affected by how many boys or girls have previously been born. Determine the probabilities of each sample proportion. Sample proportion of girls ▼ ▼ ▼ Probability (Type integers or simplified fractions.)
- Question 6 I am stuck between cluster and stratified for the answer. Need help with this problem. Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience. A market researcher selects 500 drivers under 30 years of age and 500 drivers over 30 years of age. Question 6 options: Cluster Stratified Convenience Systematic Simple RandomFor each scenario listed below, determine whether the scenario represents an Independent Samples or Dependent Samples (Matched Pairs) situation by placing the appropriate letter in the box provided. a. Comparing pre-test scores before training to post-test scores: OIndependent Samples OMatched Pairs b. Comparing the number of speeding tickets received by men to the number received by women: OIndependent Samples Matched Pairs c. Comparing pain levels of a group receiving a placebo to a group receiving a medicine: Independent Samples OMatched Pairs d. Comparing pain levels before and after treatment with magnetic therapy: Independent Samples OMatched PairsA running coach wanted to see whether runners ran faster after eating spaghetti the night before. A group of six runners was randomly chosen for this study. Each ran a 5 kilometer race after having a normal dinner the night before, and then a week later, reran the same race after having a spaghetti dinner the night before. The times for their races are shown in the table below. What test statistic should be used in a test for these samples? Runner Runner 5 6 Runner 1 Runner 2 Runner 3 Runner 4 Regular Dinner 1019 s 1004 s 1028 s 989 s 1035 s 1015 s Spaghetti 1012 s 999 s 1025 s 988 s 1036 s 1018 s Dinner 2.45 -2.45 ±1.31 O 1.31
- You may need to use the appropriate appendix table or technology to answer this question. In 2017, a website reported that only 10% of surplus food is being recovered in the food-service and restaurant sector, leaving approximately 1.5 billion meals per year uneaten. Assume this is the true population proportion and that you plan to take a sample survey of 555 companies in the food service and restaurant sector to further investigate their behavior. (a) Specify the distribution form and parameters of the sampling distribution of p, the proportion of food recovered by your sample respondents. (Round your answer for to four decimal places.) E(P) - % Since no and n(1-0)- approximating the sampling distribution with a normal distribution appropriate in this case. (b) What is the probability that your survey will provide a sample proportion within 20.03 of the population proportion? (Round your answer to four decimal places.) (c) What is the probability that your survey will provide a…You may need to use the appropriate appendix table or technology to answer this question. In 2017, a website reported that only 10% of surplus food is being recovered in the food-service and restaurant sector, leaving approximately 1.5 billion meals per year uneaten. Assume this is the true population proportion and that you plan to take a sample survey of 515 companies in the food service and restaurant sector to further investigate their behavior. (a) Show the sampling distribution of p, the proportion of food recovered by your sample respondents. -0.03 -0.02 -0.01 0.00 0.01 0.02 0.03 0.07 0.08 0.09 0.10 0.11 0.12 0.13 -0.02 -0.01 0.00 0.01 0.02 0.03 0.04 0.05 -2 -1 0 1 2 3 (b) What is the probability that your survey will provide a sample proportion within ±0.03 of the population proportion? (Round your answer to four decimal places.) (c) What is the probability that your survey will provide a sample proportion within ±0.015 of the population proportion? (Round your answer to four…A biologist wants to determine if different temperatures (15oC, 25oC, or 35oC) and amounts of sunlight (partial or full) will affect the growth of plants. He will test each combination of temperature and sunlight by randomly assigning 15 plants to each of the combinations. What type of sampling is described in this study? one sample paired data two samples more than two samples
- When a researcher uses random sampling in their study, they are most likely concerned with: When a researcher uses random sampling in their study, they are most likely concerned with: a.Increasing the internal validity of the study by creating a representative sample. b. Increasing the external validity of the study by creating a representative sample. c. Increasing the external validity of the study by reducing the potential for confounding variables. d. Increasing the internal validity of the study by reducing the potential for confounding variables.Independent random samples, each containing 70 observations, were selected from two populations. The
