According to data from the 2010 United States Census, 43.1% of Americans over the age of 65 were male. Suppose Maria, a researcher, takes a random sample of 60 Americans over the age of 65 and finds that 18 are male. Let ?̂ p^ represent the sample proportion of Americans over the age of 65 that were male. What are the mean and standard deviation of the sampling distribution of ?̂ p^? Provide your answer rounded to three decimal places.

Q: percentage of," 2013). Consider a group of 200 people. Find the mean and the standard deviation of…

A: Let a random experiment be performed repeatedly. Let the occurrence of an event in a trial is called…

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: for this set of data, the standard deviation is equal to: 9,8,10,5,5,2,3,6,3

A: Mean:The formula for finding mean is shown below:

Q: The tallest living man at one time had a height of 261 cm. The shortest living man at that time had…

A:

Q: c. Find the p-value. Round to 4 decimals. p-value = d. Make a decision. O Fail to reject the null…

A: Given : Mean : x1 = 46.9x2 = 36.2 standard deviation : σ1 = 12.4σ2 = 15.3 Sample size : n1 = 124n2 =…

Q: The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites…

A: From the provided information,

Q: Suppose that the distribution of touchdowns (in football) is normally distributed with a mean of 250…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Please also explain why you determined whether or not the results are statistically significant.…

A: Given information isn1=40n2=40s1=0.50

Q: Suppose we have data on the ages of U.S. presidents. We also have ages for a sample of high school…

A:

Q: Use Chebyshev's theorem to solve the problem. Find the least possible fraction of numbers in a data…

A: Consider that a random variable X has expected value μ and standard deviation, σ. Now, according to…

Q: An advertising agency has stated that 20% of all television viewers watch a particular program. How…

A: From the provided information, An advertising agency has stated that 20% of all television viewers…

Q: In the past, the value of houses a local realtor has sold is normally distributed with a mean of…

A: We have to find given score.

Q: Doug has 1,000 bottle caps in his collection compared to Melissa's 2000 bottle caps. If the average…

A: Given,mean(μ)=1250standard deviation(σ)=500Doug bottle cap collection(X)=1000Melissa's bottle cap…

Q: The sample standard deviation is one measure that describes the value in the sample that the data…

A: A single number that seeks to represent a set of data by identifying the center position within that…

Q: Suppose​ 18% of​ movie-goers say that horror is their favorite movie genre. If a random sample of…

A: Obtain the mean number of movie-goers that prefer horror movie genre. The mean number of movie-goers…

Q: Suppose that the lengths of pregnancies are normally distributed with a mean of 274 days and a…

A: The provided information is  µ=274 σ=10 P(X>280) P(X-µσ>280-27410)=P(z>0.6000)=0.2743 (from…

Q: Suppose that the distribution of scores on an exam is closely described by a normal curve with a…

A: we have a formula for calculating the percentile in case of normal curve  which is Mean+Z*standard…

Q: The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites…

A: a.) The Hypotheses The hypotheses are: H0​:μW​=μNW​H1​:μW​=μNW​ b.) The Test Statistic The…

Q: The following are the weights of 10 children admitted in a hospital on a particular day. Find the…

A: The mean for the dataset is calculated by dividing the sum of all data points, with the number of…

Q: Suppose the prevalence of type II diabetes in a community is 36%. Researchers want to sample 16…

A:

Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a…

A: The mean is 500 and the standard deviation is 100.

Q: Suppose that Sacramento workers have a mean commute of 17 minutes and commute times are normally…

A:

Q: What is the sum of the deviation scores for the data in the frequency distribution table below?

A: Sum of deviation  of scores from mean is always zero.

Q: The daily rates of a sample of eight employee at POL Corp. are $550, $420, $560, $500, $700, $670,…

A:

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

A: GivenMargin of Error(E)-45standard deviation(σ)=190α=1-0.93=0.07α2=0.035zα2=1.8119      (from z…

Q: A study conducted by the Center for Population Economics at the University of Chicago studied the…

A:

Q: most graduate schools of business require applicants for admission to take an examination. scores on…

A: Given, μ=527σ=112 Let x be score that an individual must score to be in the highest 5%. Therefore,…

Q: The honors program at Brads University only except students with an entrance score exam over 400.…

A:

Q: Suppose that prices of recently sold homes in one neighborhood have a mean of $265,000 with a…

A: For the distribution of the price of the recently sold homes, the parameters are specified as…

Q: In a recent study, the Centers for Disease Control and prevention reported that diastolic blood…

A: The problem provides us with the following values:Mean (μ) = 80.5 mmHgStandard deviation (σ) = 9.9…

Q: The following are ages in years of nine employees of a large company. 46, 22, 35, 26, 22, 53, 33,…

A: The question is about measures Given : Data : 46, 22, 35, 26, 22, 53, 33, 42, 59   To find : Mean…

Q: The following are ages in years of nine employees of a large company. 46, 22, 35, 26, 22, 53, 33,…

A: Given: The sample data is: 46,22,35,26,22,53,33,42,59

Q: 3. Find the mean, median, mode, and Standard deviation of the following data: 15, 11, 18, 9, 15, 18,…

A: The mean can be calculated as follows:

Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a…

A: normal distributionμ = 500σ = 100P(570<x<640) = ?

Q: The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances…

A:

Q: A recent study found that 69% of all adults over 50 wear sunglasses for driving. In a random sample…

A: Formula : Mean = np Standard Deviation  :

Q: 1900 in a certain county. Of the 124 whites, the mean life span was 45.3 years with a standard…

A: Given Data : For Sample 1 x̄1 = 45.3 s1 = 12.7 n1 = 124 For Sample 2…

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: The latest available data showed health care spending were $8086 per person in the United States…

A: Givenpopulation mean = $8086population standard deviation = $2500sample size = 100Health care…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.