The instructorTanner is concerned about the amount of time teachers spend each week doing schoolwork at home. A simple random sample of 56 teachers had a mean of 8.0 hours per week working at home after school. Construct and interpret a 95% confidence interval for the mean number of hours per week a teacher spends working at home. Assume that the population standard deviation is 1.5 hours per week.

Q: In order to construct a confidence interval on the difference between means, you need to assume that…

A: Solution: Assumptions for constructing a confidence interval on the difference between means are…

Q: The operator of a nuclear power plant requires fuel rods to have a mean percentage of enrichment of…

A:

Q: Determine the value of z, that would be used in constructing a 90%confidence interval for a 2.…

A: Z = x-μσ, Where μ = population mean,           σ = population variance,           x = observed…

Q: An environmental science teacher at a high school with a large population of students wanted to…

A: The 95% confidence interval for the proportion of all students at the school who would respond yes…

Q: The Greater Pittsburgh Area Chamber of Commerce wants to estimate the mean time workers who are…

A:

Q: The amounts (in ounces) of juice in eight randomly selected juice bottles are: 15.4  15  15.4  15.7…

A: According to the given information in this question  We need to find margin of error

Q: The General Social Survey asked, “How many emails do you send in a day?” The results of 928…

A: Given information Sample size, n = 928 Mean, x-bar = 10.4 Standard deviation, σ = 28.5 Since sample…

Q: With a large sample size such as n = 100, we do not need to assume the distribution is normal in…

A: True.Central limit theorem:In the process of selecting a simple random samples of size n from a…

Q: selected from a normal distribution: 11 13 14 22 19 11 19 15 19 11 13 14 22 19 11 19 15 19   (a)…

A: Formula :

Q: Dunkin Bucks is interested in the number of cups of coffee their adults customers drink per day…

A: Given,   N Average Standard deviation Adults 75 1.8 0.6 Teenagers 75 1.3 0.3

Q: Which of the following would result in a larger width for a confidence interval? A- use a larger…

A: Smaller sample size or large variability will have large width for a confidence interval.

Q: A weekly tabloid reported that the average income of its subscribers is $39,100. Assume this…

A:

Q: Instructor Ramos is concerned about the amount of time teachers spend each week doing schoolwork at…

A: The sample mean is 8. Population standard deviation, σ is 1.5. The sample size, n is 56. The…

Q: A &B

A: The provided data mentions the value of sample size, n is 928 and the value of x is 128. The…

Q: In the 2018 GSS, a random sample of 1419 adults were asked how many hours per week they usually…

A: Given Data : Sample Size, n = 1419.0 Sample Mean, x̄ = 7.15 standard…

Q: A random sample of records of 10 night shifts at the emergency section at the Nairobi hospital gave…

A: A confidence interval for a mean is a range of values that is likely to contain a population mean…

Q: Use the given confidence interval to find the margin of error and the sample mean.

A:

Q: A savings and loan association needs information concerning the checking account balances of its…

A: Given datan=14x¯=664.14s=297.29confidence interval is 90%

Q: Given a mean of 483, a standard deviation of 29, and a sample size of 60, construct a 95 %…

A: A mean of 483, a standard deviation of 29, and a sample size of 60, construct a 95% confidence…

Q: If the sample mean is 70 and the standard error of the sample mean is 8, what will be the 90%…

A:

Q: A random sample of enrollments from medical schools that specialize in research and from those that…

A: Given,   Group 1 Group 2   593.59 482.81 mean 160.70 181.23 std. dev. 17 16 n

Q: A sample of part time students are asked how many hours per week they work on a job. For the…

A: Given: n=5

Q: Construct a 95% confidence interval for the population mean, μ. Assume the population has a normal…

A: Construction of the test statisticXi~Nμ , O2 , i =cn , independently⇒ x  ~N μ σ2n n-1S2σ2 ~ Xn-12…

Q: Given a mean of 62, a standard deviation of 8, and a sample size of 150, construct a 99.7%…

A: Given that a mean of 62, a standard deviation of 8 and a sample size of 150. We have to construct a…

Q: The Greater Pittsburgh Area Chamber of Commerce wants to estimate the mean time workers who are…

A: Given: n=15 Using the excel formula "=AVERAGE(A2:A16)" the sample mean x¯=35.0667 Using the excel…

Q: An investigative reporter contacts a random sample of hotels, and finds a 95% confidence interval…

A: Given that  The 95% confidence interval for the proportion of hotels in the united states have…

Q: A savings and loan association needs information concerning the checking account balances of its…

A:

Q: The amounts (in ounces) of juice in eight randomly selected juice bottles are: 15.4  15  15.7  16…

A: Given data, 15.4,  15,  15.7,  16 , 15.4,  15.1 , 15.7,  15.3   From given data, sample mean is…

Q: According to NEA Advocate (2007), the averages for the 2005-2006 academic year, 34 CSU Stanislaus…

A: The provided information is x¯1=$65800x¯2=$72400σ1=$12000σ2=$8000n1=34n2=40α=0.05 The critical value…

Q: A study of a local high school tried to determine the mean number of text messages that each student…

A: Solution: Let X be the number of messages sent per day. From the given information, x-bar=198…

Q: In an effort to estimate the mean dollars spent per visit by customers of a food store, the manager…

A: Given: s = $12.30  n = 100

Q: For a given sample, a 50% confidence terval for the population mean is narrower than a 90%…

A: For  a given sample size and population standard deviation, the interval estimation of the…

Q: An environmental science teacher at a high school with a large population of students wanted to…

A: Given information: To obtain a potentially less biased estimate of the proportion, a statistics…

Q: In a random sample of 100 basketball players,the average vertical jump was 38 inches. If you somehow…

A: a) The margin of error is, Thus, the margin of error is 1.96 inches.

Q: Suppose an economist wishes to estimate the mean commute time of workers in Westchester County. The…

A: Given, Sample size n = 31Sample mean x¯ = 31.2Sample standard deviation s = 12.1

Q: It is a simple random sample and it is normal. In the course of designing theater seats, the…

A: The sample mean is obtained below: Thus, the sample mean is 844.375.   The sample standard…

Q: An environmental science teacher at a high school with a large population of students wanted to…

A: Question : (b) Given the method used by the environmental science teacher to collect the responses,…

Q: A sport shop selects a random sample and record sales of items made in China and those made in…

A: Given: China n=50x¯=22.5s=9.75 America n=33x¯=33.15s=11.6

Q: A wider confidence interval gives a greater level of confidence than a narrower one (when working…

A: When we increase the confidence level then confidence interval become wider.

Q: A random sample of 12 students showed the following time (in hours) of sleep 4.5 5 5.5 6 6 7 7.5 7.5…

A:

Q: An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential…

A: It is given that a simple random sample of 339 people living in East Vancouver and finds that 40…

Q: Provide an explanation as to why it would be very unlikely that a different sample of size n=30…

A: Given: n=30

Q: In a random sample of 50 people, the mean body mass index (BMI) was 27.7 and the standard deviation…

A: Given that the sample size is 50, the mean is 27.7 and the standard deviation is 6.12 a) Confidence…

Q: Use the accompanying Grade Point Averages data to find 80%, 85%, and 99% confidence intervals for…

A: The degrees of freedom is, df=n-1=30-1=29 The degrees of freedom is 29. Computation of critical…

Q: In a recent study of 42 eighth graders, the mean number of hours per week that they watched…

A: We are required to estimate the interval for the TV watching hours per week from the given sample of…

Q: Use the accompanying Grade Point Averages data to find 90%, 95%, and 99% confidence intervals for…

A: Confidence interval : Confidence interval is a range of values it contains the true population…

Q: In the construction of an 88% Confidence Interval for a population mean u, a has the value of

A: Incomplete

Q: For a group of 20 students taking a PSDTF test, the mean heart rate was 96 beats per minute, and the…

A: Solution: Let X be the heart rate. From the given information, x-bar is 96 beats per minute, S=5 and…

Q: We measure the heights of 57 students and obtain a sample mean of 67 inches and a sample standard…

A: Given information- Sample size, n = 57 Sample mean, x-bar = 67 inches Sample standard deviation (s)…

Q: Use the given degree of confidence and sample data to construct a confidence interval for the…

A: Of 293 employees selected randomly from one company, 8.19% of them commute by carpooling.…

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.