Rochelle was curious about the gender ratio in mechanical engineering versus chemical engineering in American universities. She obtained separate random samples of 30 students from each field of study. She found that 5 of the mechanical engineering students in her sample were female, and 10 of the chemical engineering students in her sample were female. She plans to use these results to make a two-sample zzz interval to estimate the difference between the proportion of females in each field of study. Which conditions for constructing this type of interval did Rochelle's samples meet? I. Both samples were randomly selected from their populations. II. The counts of successes and failures are sufficiently large

Q: When we sample from an infinite population, what happens to the standard error of the mean if the…

A: Standard Error: Standard Error increases if sample size decreases. Standard Error decreases if…

Q: The number of students, in a class of 35, who improve their score from the first midterm to the…

A: Since we know that discrete variable : A variable which takes particular value , generally integral…

Q: The press release stated that the sample of 19477 cases from a treatment group got the two doses of…

A: Given : p^1= Probability of falling ill after Phizer vaccine =819477p^2= Probability of falling ill…

Q: With a maximum error of ±3%, an agency wants to estimate the proportion of all drivers who wear seat…

A: Given that: Margin of Error E = 0.03 α=0.01p^=0.76 The sample size is calculated using formula:…

Q: Estimate the chance that the sample proportion was more than 45% using a normal approximation.

A: Given information: Given that , 40 % of the primary doctors have made claim that their patients…

Q: What would an outlier look like on box plot

A: Box plot diagram or Whisker’s plot is a graphical method of depicting the data by quartiles and…

Q: There are 3 kinds of estimation approaches

A: There are more than 3 kinds of estimation approaches like as  Maximum likelihood Method ,  Method of…

Q: It has been said that the overall number of male and female customers in a retail outlet…

A: From the provided information, Sample size (n) = 95 From which 45 are female and 50 are males.…

Q: The height of a randomly selected man from a population is normal with u = 178cm and o = 8cm. What…

A:

Q: If a study determines the difference in average salary for sub population of people with blue eyes…

A: Given that the difference in average salary for sub-populations of people with blue eyes and people…

Q: For a class of 60 students, the marks obtained in last semester’s Accounting exam showed that the…

A: Given that third quartile, Q3 = 70 marks

Q: The results of a poll show that the true proportion of students who prefer the new schedule is…

A: Point estimate of interval: The point estimate of population  is given by, p^=Upper bound + Lower…

Q: For 60 randomly selected college students, exam score frequency distribution was obtained. Find the…

A: Given: class limit frequency 5-10 6 10-15 12 15-20 18 20-25 15 25-30 9

Q: The manager of Carrefour selected samples of 64 customers and computed the sample average amounts…

A: Given: Sample size, n = 64          If the average amount spent is normally distributed then we are…

Q: The median number of part-time employees at fast-food restaurants in a particular city was known to…

A: The median number of part-time employees at fast- food restaurant is 18. There are 7 fast-food…

Q: A random sample of 90 American female soccer players found that 14 play professionally abroad. Build…

A: Given that  A Random sample size (n) = 90 Players play professionally abroad (x) = 14  Confidence…

Q: The population Mean is 125 with a st dev of 22.However , the population distribtuon is skewed to the…

A:

Q: Charlotte is a customer-satisfaction expert at a large pizza company. She took a random sample of…

A: We have to find word for given blank.

Q: In a frequency distribution, the co-efficient of skewness based on quartiles is 0.5. If the sum of…

A: In a frequency distribution, the co-efficient of skewness based on quartiles is 0.5. If the sum of…

Q: As the sample size increases, the variability among the sample means increases decreases remains the…

A: Concept: Variability in a data represent how dispersed data is from its mean.

Q: What is the decision rule for the t-test that the mean child mortality rate for countries in Eastern…

A: It is tested that the mean child mortality rate for countries in Eastern Europe is more than the…

Q: To adjust our estimate of variability we subtract 1 from the sample size because we expect samples…

A: Introduction: Suppose a population consists of N units. Then, the formula for the population…

Q: The distribution of the top 1% of individual incomes in the US is strongly skewed to the right. In…

A: Answer: $330,000 is the median and $675,000 is the mean.

Q: A statistical study is made to compare the % of smokers in small rural towns to the overall smoking…

A: Given Information:n=1500x=285c=95%=0.95

Q: Fifty people are selected randomly from a certain population and it is found that 12 people in the…

A: From the given information, There are 50 people and 12 people in the sample are over six feet tall.…

Q: The mean of the distribution of grades for Exam 1 was 58 , while the median was 70. The distribution…

A: Given:  Mean of distribution =58 and  Median=70 then distribution is ? A. Left skewed   B. Right…

Q: A Human Resource manager in an e-hailing delivery company would like to know whether the median…

A: Null Hypothesis: H0: The median income of riders during the movement control order period is equal…

Q: A manufacturing company claims that the average lifetime of their incandescent lamps is 1300 hours.…

A: We have given that data. From data i want to calculated. Mean = sum of all observations/total number…

Q: For this study, we should use     The null and alternative hypotheses would be:       H0:H0:…

A: Given that  Sample size n =12 Population mean μ =5 Level of significance =0.10 NOTE:- According to…

Q: In a previous example results were given for a survey of students in a statistics class who measured…

A:

Q: ome up with the 90% confidence interval for the difference.

A: Given that  A researcher surveyed 677 college men and 587 college women.  498 of the college men…

Q: A data set has a first quartile of 42 and a third quartile of 50. Compute the lower andupper limits…

A:

Q: tion, the standard distance between a sample mean and the population mean is 5 points for samples of…

A: The formula of standard error: SE=sn Now,  the standard distance between a sample mean and the…

Q: The manager of a company wants to check the inventory records against the physical inventories by a…

A:

Q: The population mean will always be the same as the mean of all possible X that can be computed from…

A: sample mean converges to population mean only when the sample size is large .

Q: Which would be the most effective method to determine if the mean diameter of the suppliers products…

A: Concept: Whenever we want to check whether the mean claim is being fulfilled or not we use…

Q: To compare the effectiveness of competing fertilizers on increasing radish size, researchers…

A: GivenTotal number of Raddish seeds =20Total number of groups =2Each group has 10 seeds randomly…

Q: The statistical procedure that calculates a linear relationship between two interval/ratio variables…

A: Correlation Coefficient:- It is a statistical method by which we can determine the degree of…

Q: Dr. Xyz claims that the average salary of workers in Jones is P35,000. A random sample of 100…

A: Given: Mean to be tested, μ=35000Sample size, n=100Sample mean, x¯=40000

Q: The recidivism rate for convicted sex offenders is 9%.  A warden suspects that this percent is…

A:

Q: At a research facility that designs rocket engines, researchers know that some engines fail to…

A: Identify the correct option for the most appropriate method to create the estimate.   The correct…

Q: Assume that you have a large set of data that ranges from a low score of 209 to a high score of 283.…

A: 15. The best width of class interval is, Width=High score-Low scoreNumber of…

Q: To compare the effectiveness of competing fertilizers on increasing radish size, researchers…

A: Dot plot is used to record simulated outcomes.

Q: It is the more reliable average when there are extremely large or extremely small values.

A: Answer is  MEDIAN

Q: A study at Harvard found that 44% of their students binge drink.  You are at Princeton doing a…

A: According to the provided information, a study at Harvard found that 44% of their students binge…

Q: The interquartile range is found by taking the difference between the 1st and 3rd quartiles and…

A: The difference between the upper and lower quartile is known as the interquartile range.

Q: The average number of cavities that thirty-year-old Americans have had in their lifetimes is 5. Do…

A: (a)   Determine the type of the test used here.   The type of test used for the study is t-test…

Q: The population mean will always be the same as the mean of all possible X that can be computed from…

A: Solution Ans is True

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.