A coffee machine dispenses coffee into paper cups. You are supposed to get 10 ounces of coffee, but the amount varies slightly from cup to cup. A random sample of 30 cups produced by the machine yields a mean amount of coffee of 9.84 ounces and a standard deviation of 0.2. Construct and interpret a 90% confidence interval for the true mean amount of coffee in paper cups filled by this machine.

Q: A recent study showed that the modern working person experiences an average of 2.1 hours per day of…

A: Confidence interval:The (1-α) % confidence interval for population mean µ, when σ is known is given…

Q: Fran is training for her first marathon, and she wants to know if there is a significant difference…

A: Let be the group runners training for marathons be population 1 and       be the individual runners…

Q: The number of cars sold annually by used car salespeople is normally distributed with a standard…

A: Given, Standard Deviation =σ=4.7Sample size =n = 47Mean = x=28

Q: Fran is training for her first marathon, and she wants to know if there is a significant difference…

A: The objective of this question is to test the claim that there is a significant difference between…

Q: A particular study wanted to see whether people who are mildly obese are less active than leaner…

A: The random variable  is the number of minutes per day that people spend standing or walking.Mean:…

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

A:

Q: Fruit flies are used frequently in genetic research because of their quick reproductive cycle. The…

A: Givensample size(n)=49Mean(x)=0.8004standard deviation(sx)=0.0782confidence level=90%

Q: A random sample of 25 gallons of milk was selected and its content in fluid ounces was measured. The…

A:

Q: A petroleum engineer estimated the chances of drilling a dry well to be around 50% , and chances of…

A: The probability distribution of the amount of oil and the associated probability of drilling is as…

Q: The monthly rents for studio apartments in Abu Dhabi have a mean of AED 3370 and a standard…

A: given data  μ= 3370σ = 680n = 64mean and standard error= ?

Q: Find the lower boundary of the 90% confidence interval for the variance of the ages of seniors at…

A: Given that  Sample size (n)=24 Standard deviation sample (s)=2.88 years Let X varaible is normally…

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

A: Given Population mean = 140 Population standard deviation = 40 Score =X= 44

Q: A Industrial Psychology test was written. From a sample of 50 students and it was found that the…

A:

Q: The number of peas in a pod varies from farm to farm. In a random sample of 50 pods from farm A,…

A: Given Information: The random sample of size from farm A, n1=50 The sample mean of peas per pod in…

Q: The distribution of average wait times in drive-through restaurant lines in one town was…

A:

Q: A popular weight loss program claims users will lose weight each month. Linda samples 25 dieters and…

A: We have given that,  Sample mean (x̄) = 10 pounds, standard deviation (s) = 2 pounds and sample size…

Q: A student researcher wants to determine whether the mean score in Mathematics of the 25 students in…

A: Confidence interval are used to measure the range where the true parameter lies. It measure the…

Q: A recent study showed that the average number of sticks of gum a person chews in a week is 13. The…

A:

Q: The amount of time it takes students to travel to school can vary greatly depending on how far a…

A:

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: Are low-fat diets or low-carb diets more effective for weight loss? A sample of 61 subjects went on…

A: given data x¯1  = 2.1s1 = 4.71n1 = 61x¯2 =3.7s2 = 5.67n2 = 63α = 0.05claim : μ1 < μ2

Q: A social scientist claims that the average adult watches less than 26 hours of television per week.…

A: The general formula for the test statistic is, z=x¯-μσn

Q: We are interested in seeing if there is a difference between how long women and men spend shopping…

A:

Q: The mean reading speed of a random sample of 81 adults is 320 words per minute. Find a 90%…

A: Given: n=81, x=320 and σ=45.   The value of z at 90% confidence level is 1.645. (From the z-table)

Q: Suppose that a garage samples 21 customers. They find the average time for there oil change is 4,305…

A: The objective of this question is to find the 90% confidence interval of the true mean of the time…

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

A: Given Data : For Sample 1 x̄1 = 3.0 s1 = 0.8 n1 = 29 For Sample 2…

Q: The director of vehicle maintenance for a large mass transportation authority wants to know the…

A: In this question, we have a sample of 100 tires and mean life of tire is 20,000 miles and standard…

Q: A study is done to determine which of two soft drinks has more sugar. There are 25 cans of Beverage…

A: Solution: Given information: n1=25   Sample size of Beverage An2= 15  Sample size of Beverage  B x1=…

Q: A study of 40 men on probation showed that their average number of days remained stayed on probation…

A: (1)   The 95% confidence interval of the mean number of days men remained on probation is obtained…

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.