On a given day, about 76% of Internet users in the U.S. visit a social media site. Use R tool, with a seed of 1, to generate a sample of 10 Internet users to examine the number of users in the sample who visit a social media site. Repeat the experiment 1,000 times and report the mean and the standard deviation of the number of users who visit a social media site Note: Round your answers to 2 decimal places.
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- The exercise involving data in this and subsequent sections were designed to be solved using Excel. Johnson Filtration, Inc. provides maintenance service for water-filtration systems. Suppose that in addition to information on the number of months since the machine was serviced and whether a mechanical or an electrical repair was necessary, the managers obtained a list showing which repairperson performed the service. The revised data follow. Repair Time(hours) Months SinceLast Service Type ofRepair Repairperson 2.9 2 electrical Dave Newton 3.0 6 mechanical Dave Newton 4.8 8 electrical Bob Jones 1.8 3 mechanical Dave Newton 2.9 2 electrical Dave Newton 4.9 7 electrical Bob Jones 4.2 9 mechanical Bob Jones 4.8 8 mechanical Bob Jones 4.4 4 electrical Bob Jones 4.5 6 electrical Dave Newton Ignore for now the months since the last maintenance service (x1 ) and the repairperson…A cognitive psychologist is interested in the effect that sleep has on daily stress levels. To investigate this, the psychologist recruits 88 participants and splits them equally into either a group that gets less than six hours of sleep each night or a group that gets more than six hours of sleep each night. At the end of each day, participants are asked to report their overall level of stress each day for a month. Those who had fewer than six hours of sleep on average reported stress levels of 6.3 (with most people falling within 1.7 hours of this average). However, those who had more than six hours of sleep reported stress levels of 3.5 (with most people falling within 2.8 hours of this average). Help the psychologist estimate the difference in stress levels based on amount of sleep. What would be the smallest amount of difference in stress in two populations that either got more or less than six hours of sleep? Does this study meet an assumption of HOV? For this study, what kind…Researchers conducted a study to find out if there is a difference in the use of online-learning by different age groups. Randomly selected participants were divided into two age groups. In the 16 to 29-year-old group, 7% of the 628 surveyed use online-learning, while 11% of the 2,309 participants 30 years old and older use online learning. (Set 1 for 16-29 year old group; Set 2 for 30 years old and older). Find X2.
- Ninety percent of the people who have a particular disease will have a positive result on a given diagnostic test. Ninety percent of the people who do not have the disease will have a negative on this test. If 7 percent of a certain populaton has the disease, what percent of that population would test positive for the diesase?According to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by researchers, 6 comma 0006,000 roaches (the expected number in a roach-infested house) were released in the test kitchen. One week later, the kitchen was fumigated and 18 comma 10718,107 dead roaches were counted, a gain of 12 comma 10712,107 roaches for the 1-week period. Assume that none of the original roaches died during the 1-week period and that the standard deviation of x, the number of roaches produced per roach in a 1-week period, is 1.61.6. Use the number of roaches produced by the sample of 6 comma 0006,000 roaches to find a 9595% confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house. Find a 95% confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house.Researchers conducted a study to find out if there is a difference in the use of online-learning by different age groups. Randomly selected participants were divided into two age groups. In the 16 to 29-year-old group, 7% of the 628 surveyed use online-learning, while 11% of the 2,309 participants 30 years old and older use online learning. (Set 1 for 16-29 year old group; Set 2 for 30 years old and older). Find the p-value of 2-prop-z-test.
- The National Electronic Injury Surveillance System tracks injuries reported from hospital admissions across the United States (Consumer Product Safety Commission 2018). For the data in 2017, we extracted all incidences of hand injuries that referenced punching a wall. There were 1843 such cases. The surveillance system also records some of the properties of the patients, including gender. Of all cases where a person was admitted to a hospital for injuries from punching a wall, 1352 were recorded as male and 491 were recorded as female. a. Do an appropriate hypothesis test to ask whether the proportion of males among wall-punchers is 50%.A scientist is interested in whether stretching before running 5 kilometers will improve a runner’s time. The scientist decides that an experimental study is the best method to use to answer the question. One group of runners will run a 5-kilometer race without stretching, and a second group of runners will follow a specific stretching routine before running the race. The finishing times will be recorded, along with the group type for each runner. The scientist is able to get 200 adults of varying running abilities to participate in the study. Describe a way that would assign people into the two groups that would allow the scientist to answer the question of interest. *THIS IS NOT GRADED**In a certain survey, 511 people chose to respond to this question: "Should passwords be replaced with biometric security (fingerprints, facial recognition, etc.)?" Among the respondents, 52% said "yes." Test the claim that more than half of the population believes that passwords should be replaced with biometric security. Let ? = 0.05.
- A certain medical school accepts only 8% of applicants. A prep program claims that their students are admitted to this medical school at a higher rate. To test their claim at the 10% significance level, we select at random 144 students from the prep program (who all apply to this medical school), and we compute p, the proportion of the sample who are admitted to the medical school.Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 55 clam shells in February and 55 clam shells in March. 14 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months; specifically, if the population proportion in February is higher than March. Let ? = 0.1.Note: Do all calculations as February - MarchA) The point estimate for the true difference in proportion of dark growth bands between February and March is: Note: answer using 4 decimal precisionB) The test statistic, ztest, is: Note: answer using 2 decimal…A report by the New York Times in 2022 indicated that, on average, a married woman in the United States goes out with her female friends an average of 5.7 times peryear. A student at Century College conducts a study of her own by randomly surveying married women in White Bear Lake and obtained this data for the number of times in a year: 3 1 1 3 7 2 9 4 6 4 3 8 0 5 6 4 0 1 3 0 Use your calculator to determine the mean and standard deviation for this sample. Then, at the level of significance, Test the claim that married women in White Bear Lake, on average, go out with their female friends less than the overall national average. Be complete, show every step including hypotheses, a labelled graph, and clearly state the final result. Do not use the P-value method. Explain what the final result means in the context of this problem.
