The manager of a supermarket tracked the amount of time needed for customers to be served by the cashier. After checking with his statistics professor, he concluded that the checkout times are exponentially distributed with a mean of 5 minutes. What propotion of customers require more than 10 minutes to check out?
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- In Australia, young people aged 18 to 29 have an average of 394 Facebook friends. This population distribution takes only integer values, so it is certainly not Normal. It is also highly skewed to the right. Suppose that = 280 and you take an SRS of 70 Facebook users from this population. Findings from "Yellow social media report 2018. Part one: -Consumers, published by Yellow and available at www.yellow.com.au/wp- content/uploads/2018/06/Yellow-Social-Media-Report-2018- Consumer.pdf. Attempt 2 Side-by-Side For your sample, what are the mean and standard deviation of x, the mean number of friends per user? Use decimal notation. Give your answers to two decimal places if necessary.Hellen has just started a new years competition for her local climbing gym. There are two categories for this competition: singles and group (18 people). The rules are simple, put in the most hours in one months time and you get a guided tour to climb Ten Sleep canyon. She knows from running this competition over the years that the number of hours climbers at her gym spend training during this competiton is approximately normal and their mean competition hours per month in the gym are 24 hrs with a standard devaition of 6 hrs. Singles Distribution: X~N( , ) Group Distribution: x̄~N( , ) The winning single participant last year was in the 97 th percentile.... how many hours did the winner accumulate over the month? One of Hellan's friends Dave put in 27.12 hours on the wall. What is the probablity that another individual will beat his time? If someone puts in between 25.5-32.1 hours on the wall they get a Mountain Goat shirt. What percent of the singles competitors is expected to…The owner of a chain of mini-markets has two stores, Store 1 and Store 2, in one city. She recently added a breakfast station in Store 1 and wants to determine if the mean daily sales of Store 1 is greater than the mean daily sales of Store 2. After choosing 12 days at random, she records the sales (in dollars) at Store 1 for these days. Then, she records the sales at Store 2 for these same days. The data and the differences (Store 1 minus Store 2) are shown in the table below. Day 1 2 3 4 5 6 7 8. 9. 10 11 12 Store 1 951 547 437 682 547 729 488 776 461 815 859 518 Store 2 989 599 500 680 451 528 452 741 446 758 960. 421 Difference (Store 1 − Store 2) −38 −52 63 2 96 201. 36 35 15 57 −101 97 Send data to calculator Send data to Excel (a)Are the two samples of daily sales amounts independent or paired…
- why is it important for students to know something about statistics as applied to psychology?Suppose you are conducting a paired t test to determine whether or not caffeine has an effect on heart rate. You have a sample of 60 participants and they ingest no caffeine each day for a week. At the end of the week, you measure their heart rates and find the mean. Then, the same 60 participants are given 500mg of caffeine every day for a week and again, at the end of the week you measure their heart rates and find the mean. What would the null hypothesis be for this test?Suppose Laura, a facilities manager at a health and wellness company, wants to estimate the difference in the average amount of time that men and women spend at the company's fitness centers each week. Laura randomly selects 15 adult male fitness center members from the membership database and then selects 15 adult female members from the database. Laura gathers data from the past month containing logged time at the fitness center for these members. She plans to use the data to estimate the difference in the time men and women spend per week at the fitness center. The sample statistics are summarized in the table. Population Populationdescription Population mean(unknown) Samplesize Sample mean(min) Sample standarddeviation (min) 11 male μ1 n=15 x¯1=137.7 s=51.7 22 female μ2 n=15 x¯2=114.6 s=34.2 df=24.283 The population standard deviations are unknown and unlikely to be equal, based on the sample data. Laura plans to use the two-sample ?-t-procedures to estimate the…
- A chess analyst is interested in whether the time that it takes to make a move is significantly different among chess players. He records the time in seconds for three chess players: Fabiano Caruana, Sergey Karjakin, and Wesley So during world chess candidates’ tournament 2018. You are given: Sum of Squares Within Groups (SSW) = 39021.57, Total Sum of Squares = 42152.88. Calculate the Mean Sum of Squares Between Groups.One sample of n = 10 scores has a mean of M = 8, and a second sample of n = 5 scores had a mean of M = 2. If the two samples are combined, what is the mean for the combined sample?A study was undertaken to see how accurate food labeling for calories on food that is considered reduced calorie. The group measured the amount of calories for each item of food and then found the percent difference between the measured and labeled amount of calories. The group also looked at food that was nationally advertised, regionally distributed, or locally prepared. Do the data indicate that at least one of the mean percent differences between the three groups is different from the others? The data is summarized in the table below. National Mean Standard Deviation Sample Size Local -2.1 Regional 27.1667 143.125 Fill in the hypotheses below: Ho: Select an answer Ha: Select an answer 10.3257 20.797 53.5922 20 12 8
- A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOs) of major corporations. He has good reason to believe that the mean systolic blood pressure, μ, of CEOs of major corporations is different from 132 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test. He measures the systolic blood pressures of a random sample of CEOs of major corporations and finds the mean of the sample to be 124 mm Hg and the standard deviation of the sample to be 20 mm Hg. Based on this information, complete the parts below. A. H0: H1: B. Suppose that the researcher decides to reject the null hypothesis. Would the research be making a type I or type II error?2. State whether the variables described have a positive correlation, a negative correlation, or no correlation. (a) Income and SAT scores (b) Length of a person's hair and how far they sit from the screen in a movie theater. (c) Hours of exercise per week and blood pressure.A researcher has found a strong relationship between level of education and income and concludes that “higher levels of education cause higher income.” What error has been made?
