Two groups of students reported mean weights of 162 kgs and 148 kgs respectively. When would the mean weight of both the groups together be 155 kgs ?
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A: Note: Thanks for posting the question. We are using the Minitab software to test the given claim.
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- 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…Please answer question 9.3The mean number of sick days an employee takes per year is believed to be about 10. Members of a personnel department do not believe this figure. They randomly survey &8 employees. The number of sick days they took for the past year are as follows: 12; 6; 15; 3; 10; 8; 8; 8. Let X= the number of sick days they took for the past year. Should the personnel team believe that the mean number is about 10? Conduct a hypothesis test at the 5% level. What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) What is the p-value? (Round your answer to four decimal places.) Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to three decimal places.)
- Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Salma is a buyer for a major shipping company and wants to determine if there is any difference between the two brands of tire in the mean distance (in thousands of km) driven on them before they need to be replaced. In the company's testing lab, Salma tests a random sample of 14 Puma tires and a random sample of 15 Eternal tires. (These samples are chosen independently.) For the Puma tires, the sample mean distance (in thousands of km) until they would need to be replaced is 54.71 with a sample variance of 5.95. For the Eternal tires, the sample mean distance (in km) until they would need to be replaced is 50.21 with a sample variance of 37.75. Assume that the two populations of distances driven are approximately normally distributed. Can Salma conclude, at the 0.05 level of significance, that there is a difference between the population mean of the distances (in thousands of km) driven on Puma tires before…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.Suppose we want to know the mean number of shurikens thrown each night by ninjas in Konoha village. Getting this information from every ninja in the village would take forever. Instead, we randomly select 20 ninjas from the ninja school that is closest to us. a. Identify the population of interest in this survey b. Describe the parameter of interest in this survey. c. Identify the sample of interest in this survey.
- Given mean = 50, median = 48 and coefficient of skewness = 1. Find the value of the varianceA cruise ship charges passengers $3 for a can of soda. Because of passenger complaints, the ship manager has decided to try out a plan with a lower price. He thinks that with a lower price, more cans will be sold, which would mean that the ship would still make a reasonable total profit. With the old pricing, the mean number of cans sold per passenger for a 10-day trip was 10.3 cans. Suppose μ represents the mean number of cans per passenger for the new pricing. What hypotheses should the ship manager test if he wants to determine if the mean number of cans sold is greater for the new pricing plan? O Ho: μ = 10.3 versus H₂: μ> 10.3 O Ho: μ = O Ho: μ = 10 versus Ha: μ 10.3The mean and S.D. of 20 items were found to be 12 and 6 respectively. On checking it was discovered that items which should correctly read as 11 and 21 had been wrongly taken as 15 and 27 respectively. Find the correct values of mean and S.D.
- Bottles for room spray are supposed to weigh exactly 16 oz. Inspectors want to develop process control charts. They take six boxes of five bottles each and weigh them. They obtain the following data. The mean weights of each of the 6 samples are 15.69, 13.69, 15.53, 16.80, 12.31, and 13.75, respectively. Likewise, the range values for the each of 6 samples are 1.78, 0.64, 0.55, 0.38,0.21, and 0.90 respectively. Find out Grand Mean (X double bar), and mean range (R bar) O a. 14.63, 0.74 O b. 14.81, -0.74 O c. 15.53, 0.67 O d. 0,0 e. 16.53, 0.86The mean number of sick days an employee takes per year is believed to be about 10.5. Members of a personnel department do not believe this figure. They randomly survey ten employees. The number of sick days they took for the past year are as follows: 12; 4; 15; 3; 11; 8; 6; 8; 2; 9. Let x = the number of sick days they took for the past year. Should the personnel team believe that the mean number is ten?5t. A magazine reports that women trust recommendations from a particular social networking site more than recommendations from any other social network platform. But does trust in this social networking site differ by gender? The following sample data show the number of women and men who stated in a recent sample that they trust recommendations made on this particular social networking site. Women Men Sample 150 170 Trust RecommendationsMade on the social networking site 111 102 (a) What is the point estimate of the proportion of women who trust recommendations made on this particular social networking site? (b) What is the point estimate of the proportion of men who trust recommendations made on this particular social networking site? (c) Provide a 95% confidence interval estimate of the difference between the proportion of women and men who trust recommendations made on this particular social networking site. (Round your answers to four decimal places.)
