A study shows that children watched television by an average of 48 hours per week with a standard deviation of 12 hours per week If a sample of 150 children are selected in Barangay Cebancalan, find the probability that they watch an average of: a. 45 hours to 50 hours b. more than 49 hours c. below 46 hours With solution

Q: Five hundred children participated in a field demonstration. Their heights averaged 110cm with a…

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Q: You throw a ball as far as you can 5 times, recording the distance for each throw: 165 feet, 184…

A: since only 5 observation is given we will consider them as sample (n = 5)and population (N = 100)…

Q: he distribution of heights of adult males has a mean of 69 inches and a standard deviation of 4…

A: Solution-: Let, X= The distribution of heights of adult males Given: (inches) We find, P[ he…

Q: A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean…

A: It is given that mean amount of food is 12 oz and number of dogs is 16. The sum of squared…

Q: A data set is formed by recording the sums in 400 rolls of a pair of a dice. A second data set is…

A: Standard deviation:The standard deviation indicates by how much each observation differs from a…

Q: Of the 200 American film enthusiasts, the average age is: 30 years, while the standard deviation is…

A: Normal distribution is generally denser in the center, and basically less denser at the tails. There…

Q: If the grades are normally distributed and 8 students received a B, how many students took the…

A: Let C denote the grades of students. Given that X follows N(mean = 82, SD = 5), then  Z = (X -…

Q: knowing the mean will be within ±0.5 mm?

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Q: A successful basketball player has a height of 6 feet 8 ​inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: During one of the Kahana Resort’s “Trivia Nights,” 480 guests took the test on “Island Trivia.”  The…

A: Introduction: Define X as the random variable of interest here, which denotes the score obtained by…

Q: Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have…

A: The given situation follows binomial distribution. The proportion of people born in United States…

Q: Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the…

A: From the provided information, Sample size (n) = 10 Sample mean (x̅) = 6.9 Sample standard deviation…

Q: 4. A car salesperson notes that she sells either 1, 2, 3, 4, 5 or 6 cars per week with equal…

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Q: Temperatures in a city are distributed approximately normal, with a mean of 69 degrees Fahrenheit…

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Q: The average and standard deviation for ACT scores are 20 and 3 respectively. average and standard…

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Q: A population has a mean of u = 30. If 3 points are added to each score, what is the mean for the new…

A: Given :  Mean(μ)=30 and N=3

Q: On a nationwide math test, the mean was 52 and the standard deviation was 4. If Roberto scored 85,…

A: The z score formula is,

Q: A population has a stand. dev. of 24. on average, how much difference should there be between the…

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Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: Marcos took the EnggMath3 exam decided to guess on a 10-item multiple choice. Each problem has 5…

A: # x be the no of answers correct follow binomial distribution (n=10, p=1/5)  1): then to find…

Q: Nationally, patients who go to the emergency room wait an average of 4 hours to be admitted into the…

A: Solution: Let X be the waiting time. From the given information, x-bar = 2.7 hours, S=2.8 hours and…

Q: Gülce spends 8 hours for Roblox per day. If the probability of spending less than 6 hours in a…

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Q: A population of scores has u=55 and o=15.  if 5 points are subtracted from every score in the…

A: The given data is μ = 55σ = 15 Suppose x1, x2, x3, x4, ..., xn are the data points…

Q: ith a mean of 110 and standard dev. of 15, find the 3 unique deviations to the left and right of the…

A: Deviations to the left   i) One standard deviation away from mean x = u - s x = 110 - 15 = 95   ii)…

Q: A student randomly guesses at four multiple-choice questions. Each question has three possible…

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Q: The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances…

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Q: The distances golf balls travel under laboratory testing conditions are normally distributed. The…

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Q: The average number of accidents at controlled intersections per year is 4.3. Is this average less…

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Q: he lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation…

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Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: Find the probability that the mean for 20 randomly selected distances is greater than 195.70 cm.

A: Given that.   X~N( μ , ?)   μ=197.5     , ?=8.9   Z-score =( x - μ )/?

Q: in 2020, a sample of 12 monarchs had an average wingspan of 6.3 cm. this year a new sample of 12 had…

A: Given that  For year 2020 Sample size (n1)=12 monarchs  Sample mean=6.3 Population standard…

Q: The mean score of 7 students on a short test is 7 out of 10. If six of the seven students scored 9,…

A: The mean score of 7 students on a short test is 7 out of 10 . If six of the seven students scored…

Q: A maths class has 100 members. If there is a 15% absentee rate per class meeting , find the standard…

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Q: A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard…

A: Given, Mean weight of cantaloupes is 700 gm. Standard deviation is 53 gm

Q: In a survey, 80% of the voters support a particular referendum.  If 30 voters are chosen, find the…

A: Number of voters(n)=30∵80% of the voters support a particular referendum i..e. p=0.80

Q: the mean (and standard deviation) snowfalss for two cities are noted below.  Ottawa : Mean=98…

A: The relative average can be obtained using z-score. The z-score for the snowfall in Ottawa is…

Q: On a multiple choice test with 10 questions, each question has four possible answers, one of which…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.