The mean score of a random sample of 22 student applicants who took the college entrance examination is calculated to be 76.9. The population standard deviation is known to be 27.4. Find the 99% confidence interval for the mean of the entire student applicants.

Q: The scores on a standardised test are normally distributed with a mean of 95 and standard deviation…

A: Let X denotes the scores on standardized test. Given that X follows N(mean = 95, SD = 20), then Z =…

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

A:

Q: A sample of 60 people who were chosen for a sample had an average IQ score of 105. If the population…

A: From the given, x¯ (mean IQ score from sample)=105n (sample size)=60σ (population SD of IQ…

Q: The average entrance exam score of a random sample of 35 first year students of CSM was 89.66 with a…

A: Given: Sample size, n=35 Sample mean,x¯=89.66Sample sd, s=18.28Confidence level=96%

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

A:

Q: The class mean for the exam was 82 with a standard deviation of 6.  There are 37 students in the…

A: We have given that, Mean = 82 , standard deviation σ = 6  sample size n = 37   Standard error of the…

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

A: Z-score = (X-mean)/Standard deviation  Put given values in formula :  Given information :  Mean =…

Q: The heights of 8 Japanese men were taken with sample mean of 155 cm (centimeters) and standard…

A:

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

A: Given that, Mean = 130 Standard deviation = 20 Raw score = 156

Q: An IQ test has a mean of 97 and standard deviation of 10. Which is more unusual, an IQ of 87 or an…

A: Given data  μ = 97σ = 10which score is more unusual? 87 or 110?

Q: what percent of the students scored higher than 68?

A: It is given thatMean, μ = 70Standard deviation, σ = 3Z-Score, Z = ( X - μ )/σwhere, Z be the…

Q: The mean and standard deviation for last year's final exam were 69 and 10, respectively. This year,…

A:

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

A:

Q: Find the Confidence interval for the true Population Mean if a sample of 50 has a mean of 26.8 and a…

A:

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

A: Given,mean(μ)=170standard deviation(σ)=10A raw score(X)=198

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: If the scores on a test have a mean of 43 and standard deviation of 1.5, what is z score of 45?

A: In order to solve for the equivalent z score, we will use the z score formulaFormula:z =…

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: standardized test has a pop. mean of 152 and a standard deviation of 16. Jenny's z score is -0.56…

A: Given that Jenny's z score= -0.56, Nicole's z score=1.13

Q: Suppose the scores of students on an exam are normally distributed with a mean of 337 and a standard…

A: Let X be the random variable from normal distribution with mean (μ) = 337 and standard deviation (σ)…

Q: The distribution of study times for first-year students follows a normal distribution with a…

A:

Q: In 2002, the mean age of an inmate on death row was 40.7 years with a standard deviation of 9.6…

A: Solution

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 mean BMI score for dieters on the Jenny Craig weight loss program is 38.5, and the standard…

A: The normal distribution: A continuous random variable X is said to follow normal distribution with…

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

A: Given Data; x¯=165σ=50x=145

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

A: Let us define a random variable x denoting test score used in psychology research which has;…

Q: The age when smokers first start from previous studies is normally distributed with a mean of 13…

A: Given,sample size(n)=22sample mean(x¯)=13.8standard deviation(σ)=2.1α=1-0.90=0.1α2=0.05Z0.05=1.645…

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

A: Given: μ=105σ=20 The z-score for the raw score 99 is obtained as below: z=x-μσ=99-10520=-620=-0.3…

Q: The scores on a standardized test are normally distributed with a mean of 90 and standard deviation…

A: The test score is 0.6 standard deviations above the mean is obtained below: From the given…

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: The mean total serum cholesterol level in women free of cardiovascular disease is 205 with a…

A: The independent variable is total serum cholesterol level in women free of cardiovascular disease.…

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

A: Given Data: x¯=160σ=30   x=127

Q: The mean score of a random sample of 22 students’ applicants who took the college entrance…

A: Given :    Sample size (n) =22

Q: A researcher takes a sample of 25 people and calculates a 90% confidence interval of (4,24) for a…

A: The confidence interval is (4,24).

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

A: Formula for z-score is,

Q: A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what…

A: Given that mean=15 and standard deviation = 2 Let, X= number of hours spent by a student in the…

Q: A researcher believes the mean weight of male turtles is more than 205 pounds, she samples 18 male…

A: Denote μ as the population mean weight of male turtles.   The claim is that the mean weight of male…

Q: sample of 37 inchworms in Cititon Park was collected and measured. Their lengths had a mean of 2.56…

A: Given:  Sample size n=37  Sample mean(xbar) x¯ =2.56  Standard deviation( ?)=0.09  To find 95%…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 107 and a standard…

A:

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

A:

Q: The scores for female students had a mean of 146 with standard deviation of 35.   you can infer…

A:

Q: The scores on a standardized test are normally distributed with a mean of 80 and standard deviation…

A:

Q: A random sample of 5 months in an urban area showed an average of 28 mail carriers were bitten by…

A: Here we need to construct a 95% confidence interval for the mean number of mail carriers who were…

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.