Problem 7 The average yearly Philhealth benefit per person was 4,064 php in a recent year. If the benefits are normally distributed with a standard deviation of 460 php, find the probability that the mean benefit for a random sample of 20 persons is: a) Less than 3800 php b) More than 4100 php
Q: Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution…
A: Let X be the random variable from normal distribution with mean (μ) = 45 pounds and standard…
Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…
A:
Q: The amount of a claim that a car insurance company pays out follows a normal distribution with mean…
A: Given: Population mean μ=1985 Population variance σ2=835 Let X ~ N (1985, 835)
Q: he scores on a test have a mean of 100 and a standard deviation of 15. If a personnel manager…
A: given data, assume the variable is normally distributed.μ=100σ=15If a personnel manager wishes to…
Q: The annual rainfall in a city is normally distributed with a mean of 128 cm, and a standard…
A: GivenMean(μ)=128standard deviation(σ)=13
Q: Assume that among the members of a men's gym, the distribution of body weights has a mean of 188…
A:
Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 71…
A: As per our guidelines we are suppose to answer only three sub parts. Given,mean(μ)=71standard…
Q: find the probability that they have a mean pregnancy less than 265 days. find the probability that…
A: Let X denote the lengths of pregnancies. Given that X follows N(mean = 268, SD = 15) For the sample…
Q: ssume that (Systolic) blood pressure in healthy adults has a normal distribution with mean 112 mmHg…
A: Given Information: Mean μ=112 mmHg Standard deviation σ=10 mmHg. (a) To find the probability that a…
Q: an average of 3kg in a month. In a book, the authors claim that people who follow a new diet will…
A: Given : Population mean =3 Sample mean =2.7 Standard deviation =2.8 n=180 Note :As per guidelines…
Q: Furnace repair bills are normally distributed with a mean of 265 dollars and a standard deviation of…
A: Given
Q: CASE 2: In a sample of 100 cars with a standard deviation of 25km/, speed. Find the margin of error…
A: It was stated that the sample size (n) is 100 cars. The sample standard deviation, s= 25. The level…
Q: The test scores are normally distributed with a mean of 78 and a standard deviation of 9. If 39…
A: Obtain the probability that the average score is between 80 and 84. The probability that the average…
Q: QUESTION 6 Assuming a normal distribution, if our sample is 100, the mean for customer satisfaction…
A:
Q: a) a randomly selected vehicle was driven more than 15,000 miles; b) of five randomly selected…
A: here given mean = 12494 miles standard deviation = 1290 miles here use excel command or…
Q: Question 3. A tire manufacturer warranties its tires to last at least 20,000 miles or “you get a new…
A: Given Mean(μ)=26000Standard deviation(σ)=5000
Q: New York City typically has rain on about 16% of days in October. a. What is the probability that it…
A:
Q: In a normal PD, the mean equals 1100 and the standard deviation equals 80. If you choose a sample of…
A:
Q: Suppose a population is known to be normally distributed with a mean, equal to 116 and a standard…
A: The percentage of the population would be between 116 and 144 is obtained below:It is given that the…
Q: Question 10 Refer to the accompanying table, which describes the number of adults in groups of…
A: Mean is the measures of central tendency and standard deviation is the measures of dispersion.
Q: Problem 5 a grocery store's sales experience indicates that its daily apple sales follow a normal…
A: We have given that. X~N( μ , ?^2 ) μ = 60, ? =15 Z-score =( x - μ )/?
Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard…
A: Obtain the standard z-score for X equals 102. The standard z-score for X equals 102 is obtained…
Q: estion 15 In the country of United States of Heightlandia, the height measurements of ten-year-old…
A: Let X be the random variable from normal distribution with mean (μ) = 56.3 inches and standard…
Q: QUESTION 3 a) The waiting time at an elevator in a shopping mall is approximately normally…
A: Given that X~N( μ = 3.2 , ? = 1.5 ) μ = 3.2 , ? = 1.5 Z-score =( x - μ )/? Note: According to…
Q: Question 13 Suppose that the distance of fly balls hit to the outfield (in baseball) is normally…
A: We have given that. X~N( μ , ?^2 ) μ = 254 , ? = 43 Z-score =( x - μ )/?
Q: Question 3 A set of final examination grades in an introductory statistics course is normally…
A: Given problem Given that A set of final examination grades in an introductory statistics course is…
Q: data set, which has a bell-shaped distribution, has a mean of 250 and a standard deviation of 10.…
A: Solution: Let X has bell shaped distribution ( normal) with mean μ=250 and standard deviations σ=…
Q: A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean…
A: From the information, the mean is 200 and the standard deviation is 50.
Q: In a large section of a statistics class, the points for the final exam are normally distributed,…
A: Finding the lowest score that would qualify a student for an A grade:The points for the final exam…
Q: Find the probability that the height is less than 154 cm ?
A: HERE GIVEN, MEAN = 162 CM STANDARD DEVIATION = 32 CM HERE USE STANDARD NORMAL TABLE FOR PROBABILITY…
Q: Suppose a claim is made that the mean age of members of a golf club is 52 years. The population…
A: Given: μ = 52 σ = 6 n = 50 X = 56 Formula Used: Test-statistic Z = X-μσn
Q: Use Normal Distribution to solve problems 9 9. The scores on a national examination follow a…
A: Solution-: Le, X= The scores on a national examination Given: We find x such that,
Q: After collecting data on remote education for over a year, it was found that the daily screren-time…
A:
Q: Question 4 As a part of the productivity assessment at a company, the HR manager carried out a…
A: 4. Let X denote time spent at work per week. Given- X~N35, 4 a. To calculate P[X<40] CLT is used…
Q: If the standard deviation of all dogs is 54 lbs, what is the standard deviation of the average…
A: Given,σ=54n=110σx=?
Q: Task 1: An industry manufactures bus tyres that have an average lifetime of ( 42500)kilometers with…
A:
Q: A requirement for business graduate school is the GMAT. The GMAT is normally distributed with a mean…
A:
Q: Question 4 a) A medical researcher wants to investigate the amount of time it takes for patients'…
A: Given data: a). Population standard deviation = 25 Margin of error = 5 minutes Confidence level =…
Q: a. What is the distribution of X? X - N( b. Find the probability that a randomly selected Private…
A: Private nonprofit four-year colleges charge, on average, $27,599 per year in tuition and fees. The…
Q: Question 4 According to a study done by Pierce College JBLM, the height for Hawaiian adult males is…
A: Given that μ = 66 , ? = 2.5 X~Normal(μ = 66 , ? = 2.5 ) Find P(63.5<X<68.5) Formula for…
Q: A certain data set has a mean of 60 and a standard deviation of 12. Given that the data set has 120…
A:
Step by step
Solved in 2 steps with 2 images
- A simple random sample of 36 observations was taken from a large population. The sample mean and the standard deviation was determined to be 80 and 12 respectively. What is the standard error of the mean?Problem 6 The average travel time (one way) from National University to Robinsons Magnolia is 25 minutes according to a survey conducted by NU engineering students. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, what is the probability that a randomly selected commuter spends more than 30 minutes from NU to Robinsons Magnolia? Less than 18 minutes?Problem 3) Lead concentrations in the eggshells of California condors have a mean of 1.8 and a standard deviation of 0.3 ppm. The contamination levels of eggshells are classified as "low" if the lead concentration is below 1.0 ppm, “moderate" if the lead concentration falls between 1.0 ppm and 2.4 ppm, and “high" the lead concentration is above 2.4. Assuming that the lead concentrations of eggshells follows a normal distribution, answer the following questions. (Hint* The categories of Low, Moderate, and High can help you identify the boundaries of each interval. For example, the boundaries of Low are – ∞ to 1.0.) ppm 13. What is the percentile of an eggshell with a lead concentration of 2.3 ppm? a. 81st b. 93rd с. 86th d. 95th 14. What lead concentration corresponds to the 79th percentile? a. 2.04 ppm b. 2.53 ppm с. 2.43 рpm d. 2.76 ppm
- Suppose the distribution of typing speeds in words per minute for experienced typists can be approximated by a normal curve with a mean of 60 wpm and a standard deviation of 15 wpm. To be considered for a position an applicant needs to have a typing speed of at least 70 wpm. If 62 experienced typists apply for the job, how many of these would be considered based on their typing speed?The standard deviation for the distribution set is in problem 33 isA. P2, 700B. P2,750C. P2,754D. P2,754.0731. The variance of 19, 21, 23, 25 and 27 is 8. The variance of 14, 16, 18, 20 and 22 is:A. Greater than 8B. Less than 8C. 8D. 332. If standard deviation of the values 2, 4, 6, 8 is 2.236, then the standard deviation ofthe values 4, 8,12, 16 is:A. 0B. 4.472C. 4.236D. 2.236Question 1: a) A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription painkiller. She wants to estimate the mean of the population of relief times. She believes that the population is normally distributed with a population standard deviation of 25 minutes. How large a sample should she take to estimate the mean time to within 5 minutes with 95% confidence? b) An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 320 people living in East Vancouver and finds that 40 have recently had the flu.Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.05. How large a sample should…
- Problem 26. Boxes of Instant Dinner have a marked weight of 12.2 oz. In reality, the weights of the boxes are normally distributed with a mean of 12.8 oz and a standard deviation of 0.3 oz. Use the 68-95-99.7 Rule to determine the percent of the boxes that contain more than 12.2 oz.Question 2: Arandom variable is distributed normally with mean 3200 and standard deviation 800. Determine the probability of greater than 4000?Question 2 (a) A HR manager would like to survey the salary of the junior accountant in Malaysia to analyse the market trend. He found that it is normally distributed with a population mean of RM 2900 and a population standard deviation of RM 250. One day, he selects a random sample of the salaries of 30 junior accountants. (i) What is the probability that the sample mean salary will be between RM 2800 and RM 3000? What is the probability that the sample mean salary will be below RM 2850? (ii) (iii) The probability is 99% that the sample mean salary of the junior accountant will be between which two values (symmetrically distributed around the mean)? (iv) Do you think he will be likely to get the sample mean salary more than RM 3200? Justify your answer with probability.
- Solve step by step in digital format Suppose that the average income of the engineers hired at REDUNO presents an approximately normal behavior with a mean of $17,000and a standard deviation of $3,000 a) What percentage of the employees will have incomes greater than $20,000 ?b) In a random sample of 50 employees, about how many people can be expected to have incomes of less than $15,000 ?Problem 3: The mean yearly mileage of the vehicles in a delivery company's fleet is 51,400 miles, with a standard deviation of 4,800 miles. You take a random sample of 30 vehicles and another of 45 vehicles. What is the probability that the difference between the mean mileage of the two samples will be a) less than 2,000 miles? b) More than 500?Problem 2 During this time of the pandemic, suppose the mean cost across the country of a 30-day supply of a generic drug is Php 46.58 , with standard deviation Php 4.84. Find the probability that the mean of a sample of 100 prices of 30-day supplies of this drug will be betwee Php 45 and Php 50. Is the pricing fair enough for a 30-day supply despite the pandemic? Why?