Suppose that a random sample of 50 bottles of a particular brand of cough medicine is selected and the alcohol content of each bottle is determined.  Let  denote the average alcohol content for the population of all bottles of the brand under study.  Suppose that the sample of 50 results in a 95% confidence interval for  of (7.8, 9.4).  a) Would a 90% confidence interval have been narrower or wider than the given interval?   b) If the sample size was increased to 100, would the confidence interval be narrower or wider than the given interval?   c) Explain what we mean by the “We are 95% confident” part of the interpretation.

Q: Among a sample of 74 students selected at random from one college, the mean number of siblings is…

A: The objective of this question is to find the 95% confidence interval for the mean number of…

Q: If X = 117, o=24, and n = 30, construct a 99% confidence interval estimate of the population mean, µ

A: It is given that Sample size n = 30 Sample mean = 117 Population SD = 24

Q: Suppose that the number of students passed a Statistics class are normally distributed. A simple…

A: We have given that  The number of students passed a Statistics class are normally distributed. A…

Q: Based on responses of 1467 subjects in General Social Surveys, a 95% confidence interval for the…

A: Given Information: Based on responses of 1467 subjects in General Social Surveys, 95% confidence…

Q: A simple random sample of size n=40 is drawn from a population. The sample mean is found to be…

A: n=40 X-bar=121.2 S=13.2 99℅ confidence  interval

Q: A random sample of ni = 233 people who live in a city were selected and 109 identified as a "dog…

A:

Q: Suppose that the number of students passed a Statistics class are normally distributed. A simple…

A:

Q: Suppose (1,000, 2,100) is a 95% confidence interval for μ. To make more useful inferences from the…

A: Given: 95% confidence interval for μ (1,000, 2,100). The formula for calculating confidence interval…

Q: There are 200 members of a state legislature. The ages of a random sample of 50 of them are…

A:

Q: Suppose the fuel efficiency, in miles per gallon, of a certain model of car is normally distributed.…

A: Given:          Lower bound =11.1          Upper bound =13.1

Q: N= 100 x= 46.25 0=4.8 ) what is the 95% confidence interval for µ

A:

Q: A college admissions officer takes a simple random sample of 110 entering freshmen and computes…

A: Given,sample size(n)=110sample mean(x¯)=465population standard…

Q: Suppose that a random sample of 41 bottles of a particular brand of cough syrup is selected and the…

A: Solution: From the given information, the 95% confidence interval for the population mean is (6,…

Q: A random sample of size 30 is taken from a normal distribution with standard deviation 9. The…

A: A random sample of size 30 is taken from a normal distribution with standard deviation 9. The sample…

Q: The circumference of a particular species of tree was thought to be different depending on certain…

A: Given that  x¯1=6s1=3n1=60n2=40x¯2=4s2=2 Consider, the pooled variance,…

Q: Determine the 99% confidence interval estimate for the population mean of a normal distribution…

A: Step 1:Given data : Sample size n=144Sample mean xˉ=1400Population standard deviation σ=112Since the…

Q: A random sample of elementary children is to be selected to estimate the proportion p who have…

A:

Q: Find t* for a 80% confidence interval based on N = 45 randomly selected observation

A: Given, Sample size n = 45 80% confidence interval

Q: f n=29, ¯xx¯(x-bar)=48, and s=11, construct a confidence interval at a 99% confidence level. Assume…

A: Given data,n = 29x = 48s = 11D.f = n-1 = 29-1=28

Q: Suppose that the average time spent per day with digital media several years ago was 3 hours and…

A: We have to construct confidence interval.

Q: The average amount of time, in minutes, for students to complete a standardized test is normally…

A: We have to interprete ci.

Q: random sample of 150 adults was given an IQ test. It was found that 72 of them scored higher than…

A:

Q: Suppose that the number of students passed a Statistics class are normally distributed. A simple…

A:

Q: If X=117, o=24, and n = 30, construct a 99% confidence interval estimate of the population mean, μ.…

A: GivenMean(x)=117standard deviation(σ)=24sample size(n)=30Confidence level=99%

Q: A taxi company is trying to decide whether to purchase brand A or brand B tires for its fleet of…

A:

Q: A chain of taco restaurants claims that the population mean of the wait times in their drive-thru…

A: Sample size n=40 Sample mean x¯=3.94. Sample standard deviation s=2.39 Population mean μ=5.39.…

Q: A simple random sample with n=52 provided a sample mean of  21.0 and a sample standard deviation of…

A: a. The degrees of freedom is, Computation of critical value: The critical value of t-distribution…

Q: A student conducted a test to see if people preferred one of two possible new logos for UF, one with…

A: Confidence interval is a technique of estimation.

Q: If n=31, ¯xx¯(x-bar)=34, and s=5, construct a confidence interval at a 90% confidence level. Assume…

A: From the provided information, Sample size (n) = 31 Sample mean (x̅) = 34 Standard deviation (s) = 5…

Q: Suppose that the population of lengths of all fully grown male killer whales is approximately…

A: Given that Number of killer whales =10 Sample mean =7.241 Sample standard deviation =1.436 We have…

Q: Suppose that a random sample of 11 adults has a mean score of 79 on a standardized personality…

A: Given data,n=11Mean x=79sd    s=7Construct a 90% CI?

Q: If n=15, ¯xx¯(x-bar)=33, and s=15, construct a confidence interval at a 90% confidence level. Assume…

A: Confidence interval gives the range of values within the parameter of the population lies with 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.