A sample of holiday shoppers is taken randomly from a local mall. Forty-nine shoppers were selected and asked what their average spending on gifts would be during the entire holiday season. The point estimate of the population mean was calculated as $550 and the sample standard deviation was calculated as $92. Construct a 95% confidence interval of the population mean spending. Explain how the central limit theorem is used in constructing this interval.

Q: The Pew Internet and American Life Project surveyed 2227 adults in 2011, asking them about their…

A: It is given that the mean number of text messages sent per day is 40.9 for men, 42.0 for women. The…

Q: You measure 41 watermelons' weights, and find they have a mean weight of 47 ounces. Assume the…

A: Given that: n= 41.0 , x̄= 47.0 s= 2.5 At 90.0 % confidence level , z score= 1.645 So, 90.0 %…

Q: Find a 90% confidence interval for the population mean, if the sample size is 58, the sample mean is…

A:

Q: The standard deviation of the weights of elephants is known to be approximately 15 pounds.  We wish…

A: Sample mean = x̅ = 244 Sample size = n = 50 Population S.D = σ = 15 Standard Error = σ/√n  =…

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: A Seattle consumer agency believes that plumbers’ rates are too high and wants to estimate the mean…

A: GivenConfidence Interval(c)=95%Margin of Error(E)=3%=0.03Let…

Q: A market researcher, Codie, wants to find a 97% confidence interval for the mean number of dollars…

A:

Q: Construct a​ 95% confidence interval about the mean age.

A: Given Data : Sample Size, n = 32 Sample Mean, x̄ = 37.3 sample…

Q: he average weight of 20 randomly selected cars was 3500 pounds. The sample standard deviation was…

A: given data, n=20df=n-1=20-1=19x¯=3500 pounds s=315 pounds CI=0.90α=1-0.90=0.10

Q: Calculate the mean and standard deviation for the distribution which defines selecting a faculty as…

A: Given that  10 facility  8 administrators  8 committee  We have to find mean and standard deviation…

Q: A study was commissioned to find the mean weight of the residents in certain town. The study…

A: Given: n=58, x=174 and s=38. Now,Degrees of freedom=n-1=58-1=57 Then, at 95% confidence level, the…

Q: From the scores in subject statistics for 8 students, it was found that the mean score is 73 and the…

A: We have given that,  Sample mean (x̄) = 73,  standard deviation (s) = 5.15 and sample size (n) = 8…

Q: Determine the 99.5 percent confidence interval that contains the population variance if the sample…

A:

Q: A random sample of 110 Americans was asked how many hot dogs they eat each year.  The sample mean…

A:

Q: A company that makes baseball caps for babies is designing a new type of hat for toddlers. The new…

A: Here we are need to find the maximum and minimum head sizes for each new hat. Here each means we are…

Q: Calculate the point estimate. The mean and standard deviation of the blood sugar level of randomly…

A: Given:

Q: Suppose we are contracted by the Justice Department to study the extent of juvenile delinquency.  We…

A:

Q: The daily salaries of security guards for 10 security agencies are as follows: P350, P400, P375,…

A: Solution To find the point estimate we will find the sample mean.

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

A:

Q: You measure 41 watermelons' weights, and find they have a mean weight of 79 ounces. Assume the…

A: Mean = 79Standard deviation = 2.4Sample size = 41

Q: A recent survey of 8 social network sites has a mean of 13.1 million visitors for a specific month.…

A: Given that, Mean = 13.1 Standard deviation = 3.1 Sample size = 8

Q: A doctor would like to estimate the mean difference in the number of hours of sleep for seniors in…

A: Random sample of 50 high school seniors  Random sample of 50 seniors from the colleges in his county…

Q: rchers published a study that investigated the degree to which a country's households waste food.…

A:

Q: A sociologist develops a test to measure attitudes about public transportation, and 20 randomly…

A: The confidence interval is a set of elements that have been imagined to comprise, with a specified…

Q: An economist would like to estimate the mean amount of money that a family spends to within $45. If…

A:

Q: The dispersion of the copper determination in the seawater sample is 2.24%. How many parallel…

A:

Q: Imagine that every elementary school in California is measured on several characteristics and then…

A: From the provided information, Mean (µ) and standard deviation (σ) of the school in Los Angeles…

Q: A credit counseling agency wants to estimate the mean amount of credit card debt held by Americans.…

A: Here we need to construct a 90% confidence interval for the population mean.

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 survey of 97 random homeowners in my neighborhood had a mean of $720 spent on lawn care. Construct…

A:

Q: A second-semester junior at a large high school wants to estimate the number of colleges a senior…

A: We have given that,  The data set is,  1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 7, 7, 8, 9 Then,…

Q: An economist would like to estimate the mean amount of money that a family spends to within $36. If…

A: Given that  Population standard deviation =200 Margin of error =E =36 91% confidence.

Q: Find the critical t value to use in making an 80% confidence interval for a mean if the sample size…

A:

Q: A small business wanted to estimate the mean income from their customers. They took a sample of 256…

A: We have to find  the 90% confidence interval estimate for the population mean income of their…

Q: An economist would like to estimate the mean amount of money that a family spends to within $30. If…

A:

Q: From a random sample of 64 high school seniors, the sample mean and standard deviation of the math…

A: Given,mean(x)=90standard deviation(s)=7sample size(n)=64α=1-0.92=0.08α2 =0.04degrees of freedom…

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.