Question

25 athletes participate in a race and all of them finish it. The distribution of times taken to complete the race by athletes (in minutes) is shown in the table below. Calculate the mean of the finish times taken by the given population of athletes.

Finish time
(minutes)
0 to less than 1(0
10 to less than 20
20 to less than 30
30 to less than 40
40 to less than 50
Numberof
athletes
3
10
6
4
2
Expand
Transcribed Image Text

Finish time (minutes) 0 to less than 1(0 10 to less than 20 20 to less than 30 30 to less than 40 40 to less than 50 Numberof athletes 3 10 6 4 2

Expert Answer

54 Ratings
Step 1

This is a problem on finding the mean of continuous grouped data. We first find the midpoint of each interval. For example, the first interval or class is 0 - 10. The mid-point of this class will be (0 + 10)/2 = 5.

Expand
Step 2

We now calculate the product of mid-point and frequency for each class. Here, the number of athletes in each class is the frequency of that class. For example, for the first class 0 – 10, its frequency is 3.

Expand
Step 3

We can now use the formula to calculate mean. Note that t...

Expand

Ask a Homework Question!

Subscribe to bartleby learn and ask 30 homework questions each month. Subject matter experts are on standby 24/7 when you’re stuck and questions are typically answered in as fast as 30 minutes.*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Ask a Homework Question!

Subscribe to bartleby learn and ask 30 homework questions each month. Subject matter experts are on standby 24/7 when you’re stuck and questions are typically answered in as fast as 30 minutes.*

Ask a Question

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Tagged in
Math
Statistics

Measures

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Q5. You are considering two investment choices: a. 1 year CD that pays 2% for sure; b. investing in ...

A: It is provided that the investment in CD has return of 2% for sure.So, the mean return of this inves...

Q: Monica, still, takes one hour to wash a car and Bill takes two hours to wash a car.  If they work to...

A: Let Monica and Bill can complete the work in x hours if they work together.Washing a car can be deno...

Q: What percentage of hospitals provide at least some charity care? Based on a random sample of hospita...

A: Finding the mean and standard deviation of the variable X.Mean:The general formula to obtain the mea...

Q: Suppose that Xi ∼ Gamma(αi , β) independently for i = 1, . . . , N. The mgf(moment generating functi...

A: It is provided that and the moment generating function (MGF) is,

Q: Need all parts, a,b,and c Let X denote the data transfer time (ms) in a grid computing system (the t...

A: (a) Finding the values of α and β :The random variable X represents the data transfer time in a grid...

Q: Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than flyi...

A: (a) Poisson distribution is a good choice for the probability distribution of r:Poisson distribution...

Q: Statistics Question

A: Solution:Computation of equation of the regression line:Step-by-step EXCEL procedure to find the equ...

Q: Is the magnitude of an earthquake related to the depth below the surface at which the quake occurs? ...

A: (a) Scatter diagram of the data:The line that best fits the data is least-squares regression line.Th...

Q: A researcher claims that the incidence of a certain type of cancer is less than 5%. To test this cla...

A: Test statistic calculation:In this context, a researcher claimed that the proportion of incidence of...

Q: Simple random sampling uses a sample of size from a population of size to obtain data that can be us...

A: The population size is denoted by ‘N’ and the sample size is denoted by ‘n’.Let the number of differ...

Q: Lydia Hayward is an external research consultant hired by FirstCard, a major credit card company, to...

A: Correct Option D) This is a right-tailed test because the alternative hypothesis is Ha:μ1−μ2>0.Ex...

Q: Use a χ2​-test to test the claim σ2=0.49 at the α=0.10 significance level using sample statistics s2...

A: In order to test the hypothesis of H0: sigma square  is equal to 0.49  versus Ha: sigma square not e...

Q: Which is not one of the major assumptions typically associated with parametric tests of significance...

A: Introduction:Some of the major requirements (though not the only requirements and may vary from one ...

Q: The claim is that the proportion of peas with yellow pods is equal to 0.25​ (or 25%). The sample sta...

A: Sample proportion:It is given that out of 420 peas, 116 of them having yellow pods.The claim states ...

Q: 10 9 8 6 Frequency 5 4 3 2 1 0 to 9 10 to 19 20 to 29 30 to 39 40 to 49 50 to 59 The table above lis...

A: Frequency table:Frequency table represents the number of times each class repeats.The frequency of e...

Q: An executive believes that a new energy drink his company developed will increase an individual's st...

A: Paired t-test statistic results:For testing whether the new energy drink increase an individual’s st...

Q: Blank are more representative of a population, but blank are easier to obtain

A: The sample is a set of units that is obtained from a population, which represents the population. Th...

Q: Let x be the average number of employees in a group health insurance plan, and let y be the average ...

A: (a)The scatter diagram for the provided data can be plotted using Excel.The steps are given below:En...

Q: . For two factors-starchy or sugary, and green base leaf or white base leaf-the following counts for...

A: Introduction:Denote X1, X2, X3 and X4 as the counts for the progeny of self-fertilized heterozygotes...

Q: Please answer the whole question.  (1) Let x be the age in years of a licensed automobile driver. Le...

A: (e) The value of coefficient of determination:The given data is represented in the following table:

Q: A simple random sample of n=23 professors at a local community college have a mean course evaluation...

A: Solution:Null and alternative hypotheses:Null hypothesis: µ = 4Alternative hypothesis: µ ≠ 4Test sta...

Q: Five children aged 2, 3, 5, 7 and 8 years old weigh 14, 20, 32, 42 and 44 kilograms respectively. Fi...

A: Let x be the age of children and y be the weight of children.The equation of the regression line is:

Q: A hospital reported that the normal death rate for patients with extensive burns (more than 40% of s...

A:  (a) Level of significance:It is given that to test the claim that the mortality rate has dropped, l...

Q: In a study of 420,077 cell phone users, 107 subjects developed cancer of the brain or nervous system...

A: Given hypothesis test let p be the proportion of cellphone users develop cancer or brain or nervous ...

Q: A researcher obtains hamstring measurements from a group of classmates. She then classifies those me...

A: Accordingt o the given question;A researcher obtains hamstring measurements from a group of classmat...

Q: A, B, C

A: In this question we have given a data of 10 sample observation based on that data we have to find co...

Q: A machine produces metal rods used in an automobile suspension system. A random sample of 15 rods is...

A: In this question We have the diameter of 15 metal rod, we have to find the 95% confidence interval f...

Q: What price do farmers get for their watermelon crops? In the third week of July, a random sample of ...

A: The provided information are:

Q: Fuming because you are stuck in traffic? Roadway congestion is a costly item, both in time wasted an...

A: Hey, since there are multiple subpart questions posted, we will answer first three subparts. If you ...

Q: Suppose that Xi ∼ Gamma(αi , β) independently for i = 1, . . . , N. The mgf(moment generating functi...

A: Introduction:It is given that Xi’s (i = 1, 2, …, N) are independent Gamma (αi, β) random variables w...

Q: Let z=a be a positive z score in a standard normal distribution. If the area under z>a is 0.4, th...

A: Standard normal distribution:A normal distribution with mean (µ) 0 and variance (σ2) 1 is called sta...

Q: how do I compute six deviations (x scores are [0,1,1,1,2,7,]) from the mean (x-m), and list these si...

A: Solution:Calculation of mean:The mean of X scores is calculated as follows.

Q: A university dean of students wishes to estimate the average number of hours students wish to spend ...

A: The formula for the sample size is as follows:

Q: What is your favorite color? A large survey of countries, including the United States, China, Russia...

A: A).State the appropriate hypothesis:Let P be the population proportion of individuals who claim blue...

Q: A researcher wants to investigate whether mindfulness training improves ability for employees to not...

A: According to the provided information, if there is a main effect of disposition, then there is an ef...

Q: Construct a boxplot for these numbers of state sites for Frogwatch U.S.A Is the distribution symmetr...

A: The given data is arranged in ascending order as shown below199, 235, 238, 242, 253, 289, 294, 314, ...

Q: Using the table below, determine the critical value or values for a hypothesis test for a proportion...

A: It is provided that the test is right tailed and the significance level is 1%.So, the critical value...

Q: Stories in the Tallest Builidings The numbers of stories in the 13 tallest buildings are for two dif...

A: Measures of variability:The measure of variability or the measures of dispersion can be measured usi...

Q: (c) In 1997, the U.S. population was approximately 266,570,000 people. At the rate of 440 prisoners ...

A: Given number of prisoners for 100,000 population = 440Rate of prisoners = 440/100,000U S population ...

Q: Fifty-three percent of all persons in the U.S. population have at least some college education.  Cho...

A: According to the given question, Fifty-three percent of all persons in the U.S. population have at l...

Q: Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than flyi...

A: (a) Poisson distribution:It is a discrete probability distribution that models the number of events ...

Q: you gave me this answer in last question, (copied below) but I see why I wasn't finding the correct ...

A: Note:Thank you for letting us know your doubt. We shall try our best to help you understand clearly ...

Q: The president of Doerman Distributors, Inc., believes that 27% of the firm's orders come from first-...

A: In this question, it has been given that president of Doerman distributors believes 27% of the its f...

Q: Three cards are drawn from a deck without replacement.  Find these probabilities.   a. all are jacks...

A: Total number of cards in a standard deck of cards = 52There are 4 suits consisting of 13 cards each....

Q: Find the probability of an event E if the odds for E is equal to the odds against

A: Odds of an event:The odds an event is given by the ratio of the probability of the event to its prob...

Q: A, B, C

A: a.The null and alternative hypotheses are:

Q: entle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the...

A:  (a) Level of significance:Level of significance (α) indicates the probability of rejecting null hyp...

Q: Question 1 The company Phiten makes necklaces that Major League Baseball players commonly wear durin...

A: a) an exogenous variable can be defined as a variable whose value is independent of other variables ...

Q: Derby Leicester is a city planner preparing for a meeting with the mayor. He would like to show that...

A: Assumptions:The assumptions for a hypothesis test of the difference between two population means are...

Q: Find the mean, the median, the mode, and the midrange, the range, variance, standard deviation, 65th...

A: Hello there! According to our policies can answer one question . As there are multiple questions in ...