Hello,  can you help me with this math problem and show me step by step to understand this math problem. Thank you. In a random sample of 8, people the mean commute time to work was 36.5 mins and the standard deviation was 7.4 mins . A 98% confidence interval using the t-distribution was calculated (2.87, 44.3). After researching commute times to work, it was found that the population standard deviation is 8.8 mins. Find the margin of error and construct a 98% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results. The margin of error of μ is________ (Round to two decimal places as​ needed.)

Q: Sick Days in Bed A researcher wishes to see if the average number of sick days a worker takes per…

A: Given : sample size, n =25 sample mean, x̄ =5.3 population standard deviation,σ=1.4…

Q: Many people consider their smart phone to be essential! Communication, news, Internet,…

A: Given information Mean µ = 12.75 hours Standard deviation σ = 2.1 hours

Q: The mean number of English courses taken in a two-year time period by male and female college…

A:

Q: The mean value of the 130 observation is 17 with standard deviation deviation equal to 0.98. Find…

A:

Q: Among those taking the Graduate Record Exam, 18 people are randomly selected. This group had a mean…

A: n = 18 s =140 mu = 550

Q: Calculate the sample median, mean, variance, standard deviation, standard error, and 95% confidence…

A: Mean is the average of all the observation in the sample. Median is the middle value which separate…

Q: For a random sample of 55 overweight men, the mean of the number of pounds that they were overweight…

A: It is given that the sample mean is 32 and the population standard deviation is 4.1.

Q: a 95% confidence interval for the mean of diastolic BP in women is 62 to 110mmHg.  What is the…

A: We have given that 95% confidence interval CI = ( 62, 110) Confidence level (c) = 95% = 0.95…

Q: A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed…

A:

Q: A research scientist wants to know how many times per hour a certain strand of bacteria reproduces.…

A:

Q: 15. A random sample of 100 visitors to a popular theme park spent an average of $142 on the trip…

A: SOLUTION: Given average x=142          standard deviation σ=47.5          random sample n=100

Q: The mean number of English courses taken in a two-year time period by male and female college…

A: Males have taken as group 1. Females have taken as group 2. Given:…

Q: science classes assigned an average of 19 pages of essay writing for the course. The standard…

A: Given that    Sample sizes n1=56      , n2=48      Sample means X̄1=19     , X̄2=21.5     s1 =4.4…

Q: A research scholar wants to know how many times per hour a certain strand of virus reproduces. The…

A: It is given that,Sample mean = 11.3.Population standard deviation, sigma is 2.3.The sample size, n…

Q: Do political science classes require less writing than history classes? The 41 randomly selected…

A: The objective is to determine if there is a significant difference in the average pages of his…

Q: A 95% confidence interval was found to be (14.312, 21.432). What is the margin of error? ME=

A: Answer: From the given data, 95% confidence interval was found to be (14.312, 21.432) lower limit =…

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Consider X be a random variable which follows normal distribution indicating the score earned on a…

Q: Happy Hair will hire only those hairdressers in the top 20 percent based on the amount of time it…

A: Given: Mean= μ== 67.5 Standard deviation= σ = 12.5

Q: The mean number of English courses taken in a two-year time period by male and female college…

A: Given that, An experiment is conducted and data are collected from 26 males and 20 females. The…

Q: The mean number of English courses taken in a two-year time period by male and female college…

A: From the Part (iii), the null hypothesis is rejected.

Q: survey asked 8 adults how many years of education they had. The sample mean was 12.90 with a sample…

A:

Q: In a survey, 24 people were asked how much they spent on their child's birthday party. The results…

A: Introduction: The 100 (1 – α) % confidence interval for the population mean, μ, when the population…

Q: A study of 64 bolts of carpet showed that their average length was 75 yards. The standard deviation…

A:

Q: The average score for 100 teenagers playing a certain computer game was 80,000 points per player. If…

A: Here we need to construct a 68% confidence interval for the mean score of all teenagers. Given…

Q: A recent study of 28 city residents showed that the mean of the number of years they lived at their…

A: The formula of confidence interval for the population mean is given by                  confidence…

Q: A pollster asked a random sample of 269 students about their savings. The average amount of money…

A: The sample size is 269, sample mean is $258, and sample standard deviation is $145. The degrees of…

Q: ANOVA was applied to test the results of 3 drug treatments. Each drug was given to twenty…

A: Standard deviation is the square root of mean square error.

Q: please give me answer step by step

A: Step 1: Suppose µ is the population mean commute time of all TCC students. The sample size, sample…

Q: In a survey 26 people where asked how much they spent on their child's birthday gift.  The results…

A: We have given that  Sample size=n=26 Mean=Xbar=50.9 Standard deviation=S=9.4 90% confidence interval…

Q: shoppers at the mall spend the same amount of money on average the day after Thanksgiving compared…

A: Given that    Sample sizes n1=56      , n2=43       Sample means X̄1= 145     , X̄2=123    , ?1 =46…

Q: A study of 81 bolts of carpet showed that their average length was 77.5 yards. The standard…

A:

Q: Data of the weights of 81 pet dogs was collected. The sample mean was 30. The standard deviation is…

A: Here, T - interval is applicable ================= df = n-1

Q: A random sample of 49 drivers used on average 753 gallons of gasoline per year. The standard…

A: Introduction: The 100 (1 – α) % confidence interval for the population mean, μ, when the population…

Q: Find the 90% confidence interval for the standard deviation of the lengths of pipes if a sample of…

A: given data s = 10.2 n = 22 90% CI for σ = ? α = 1 - 0.90 = 0.10df = n - 1 = 21χ2L = χ21-α2,n-1…

Q: Do shoppers at the mall spend the same amount of money on average the day after Thanksgiving…

A: The sample size for first sample is 55, with sample mean 141, and sample standard deviation 47, and…

Q: 20 TV remote controls were followed over the years to find the mean lifespan of this model. The…

A: Answer - Here  n = 20 TV remote controls were followed  over the years to find the mean…

Q: ou are a teacher at a gifted school, and you feel that the newest class of students is even brighter…

A: From the provided information, Population mean (µ) = 127 Sample size (n) = 32 Sample mean (x̅) = 134…

Q: The dean randomly selected 33 students who took the calculus final exam and looked at their scores…

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.