(2) 3. 3. (a) Out of a random sample of 540 New Brunswick residents, 162 said they are in favor of improving the train station. Please find a 95% confidence interval for the proportion of New Brunswick residents that support train station improvements. (b) Suppose that prior to any sampling, you were asked to find a 95% confidence interval for p which is ±/- .035. How large a sample would be required? (make no assumptions about p) sample t margin

Q: A random sample of size n1=25, taken from a normal population with a standard deviation σ1=5, has a…

A: Givensample size(n1)=25standard deviation(σ1)=5Mean(x1)=80sample size(n2)=36standard…

Q: A sample of size 16 was taken from a very large population. Sample statistics, x¯ and s, were used…

A: Formulae to find x¯ and s from confidence interval is as follows ,    x¯ = Lower limit +Upper limit…

Q: Ob,s 1 Suppose that in sampling for the population proportion of defective items, it is found that…

A:

Q: Suppose the number of defects in a sweater from a population of sweaters produced from a textile…

A: Solution: From the given information, the confidence level is 0.95.

Q: poll of 1,000 randomly selected registered voters was taken and 680 responded that they favor…

A: If the confidence interval includes zero then we can say that there is no difference between the two…

Q: Parts a and b please

A: (a)Step-by-step procedure to obtain the value of z using MINITAB:Choose Graph > Probability…

Q: A random sample of size 32 is selected from population X, and a random sample of size 43 is selected…

A: Given :            Let X and Y be the two population Wheren1=32n2=43n1  and n2  be the sample size…

Q: A random sample of high temperatures for 12 recent Thanksgiving Days had an average of 42℉. Assuming…

A: n = 12 xbar = 42 t-critical value at df = 11 and alpha0.05 = 2.201 The margin of error is given by…

Q: In a previous study, a researcher compared analytical expertise in the laboratory with two thesis…

A: Given that: n = 5, x = 64.2, and S = 1.14. Confidence interval= 95%=0.95 So the significance…

Q: sample of size n = 44 has sample mean x̄ = 56.9 and sample standard deviation s = 9.1.   a.…

A:

Q: le of n = 25 individuals is selected from a population with a mean of μ = 40. A treatment is…

A: As the population standard deviation is not known, we will use t distribution. The critical value…

Q: To construct a confidence interval for the difference between two population means μ₁-H₂, use the…

A:

Q: A survey at a certain university found that 21 out of a random sample of 350 students had over…

A:

Q: You are testing the null hypothesis that there is no linear relationship between two​ variables, X…

A: Given: From your sample of n=18,you determine that b1=4.6 and Sb1=1.9.

Q: 1)A sample of seven containers of fuel have a mean content of 10.0 liters with standard deviation of…

A: As per our guidelines we are suppose to only one question1)GivenMean(x)=10.0standard…

Q: n=41n=41 data values randomly selected from a normally distributed population has standard deviation…

A: Given that  Sample size (n) = 41 Sample standard deviation (s) = 6.4 Confidence level (C) = 99%…

Q: You are the manager of a local cinema, a average customer spends on the concess customers, and you…

A:

Q: In a random sample of 250 patients, 15 experienced dizziness. A pharmaceutical company claims that…

A:

Q: 13. How large a sample should be selected so that the maximum error of estimate for a 95% confidence…

A: Given thatMargin of error (E)  = 0.048Significance level (α) = 1 - 0.95 = 0.05population percentage…

Q: A sample of size 16 was taken from a very large population. Sample statistics, x¯ and s, were used…

A:

Q: A random sample of 25 college males was obtained and each was asked to report their actual height…

A: a) Given CI is 0.8 and 2.2, hence the null hypothesis that can be rejected is-  H0:μd=0.5, since 0.5…

Q: Test at alpha =.01   Construct a 2-tailed 95% C.I.E of μ. The upper limit of the confidence…

A:

Q: 10. A 90% confidence interval is to be created to estimate the proportion of television viewers in a…

A:

Q: To construct a confidence interval for the difference between two population means u1 - #2, use the…

A: The given values are n1=35,x¯1=$102,480 and σ1=$9155;n2=38,x¯2=$85,700 and σ1=$9180. The confidence…

Q: To construct a confidence interval for the difference between two population means ₁-₂, use the…

A:

Q: To construct a confidence interval for the difference between two population means u, - H2, use the…

A: The summary of statistics is, Critical values: Using the z-table, the critical value at 95%…

Q: In a study regarding public opinion about American involvment in foreign affairs, a random sample of…

A:

Q: A simple random sample with n= 52 provided a sample mean of 23.0 and a sample standard deviation of…

A: It is given that Sample size n = 52 Sample mean M = 23.0 Sample SD s = 4.7 The critical value of t…

Q: In random, independent samples of 275 adults and 200 teenagers who watched a certain television…

A: The random variable television show follows binomial distribution. There are two samples which are…

Q: A sample of size n=15 has sample mean "x"=2.1 and sample standard deviation s=1.7. A. Construct a…

A: Given Datan = 15mean µ = 2.1sample standard deviation, s = 1.7 A)95% confidence interval for the…

Q: A random sample of 100 preschool children in MES revealed that only 60 had been vaccinated. Provide…

A: Given,n=100x=60p^=xnp^=60100=0.61-p^=1-0.6=0.4α=1-0.99=0.01α2=0.005Z0.005=2.5758     (from Z-table)

Q: Q5. A simple random sample of 450 residents of Payatas is taken to estimate the proportion of people…

A: Given information We have given that; in a random sample of 450 residents of Payatas is taken to…

Q: 2 3. 4 5. 6 10 In random, independent samples of 225 adults and 200 teenagers who watched a certain…

A:

Q: - It was observed that 4 out of 10 randomly selected students went to the cinema. Find the 95%…

A: Given data,n=10x=4p=xn=410=0.4Find the 95% confidence interval

Q: In random, independent samples of 400 adults and 275 teenagers who watched a certain television…

A:

Q: A random sample of size 30 from a normal population yields x̅ = 69  and s = 4.  The lower bound of a…

A:

Q: To compare the success rates of the two surgical procedures to treat a certain type of cancer, a…

A: Confidence interval using using T1-84: Press STAT>TESTS>2-PropZInt. Enter x1 as 78, n1 as…

Q: A random sample of nn measurements was selected from a population with standard deviation σ=10.4 and…

A: Solution To find the confidence interval we will use z distribution

Q: In a random sample of n=1000 families in the city of Portland, it is found that x=600 families own…

A: Given Data Sample Size, n = 1000 Number of successes, x = 600 Significance level,…

Q: In random, independent samples of 225 adults and 200 teenagers who watched a certain television…

A:

Q: In testing the hypotheses, Ho: H1 = P2 Vs. Ha: H1# H2 samples of size 9 are taken from each of the…

A:

Q: From a large number of actuarial exam scores, a random sample of 275 scores is selected, and it is…

A: Total number of scores = n = 275, Number of passing scores = x = 206. Here, significance level is…

Q: A recent survey showed that from a sample of 500 packages delivered by a Postal Service, 480 were…

A: Given: p0=0.98α=0.01n=500x=480

Q: A simple random sample with n = 54 provided a sample mean of 22.5 and a samplestandard deviation of…

A: Confidence interval give a range of values for the unknown parameter of the population. The width of…

Q: A random sample of size 30 from a normal population yields  = 39  and s = 4.9.  The lower bound of a…

A: Note:Hey there! Thank you for the question. In the first line, it is written “A random sample of…

Q: A random sample of n - 236 people who live in a city were selected and 81 identified as a "dog…

A: The formula for confidence interval of the difference between two sample proportions is given by…

Q: A simple random sample with n = 52 provided a sample mean of 23.5 and a sample standard deviation of…

A: a. The given sample size is 52, sample mean is 23.5, and sample standard deviation is 4.1. The…

Q: 11. In an Anti-Corona Campaign, Drug-X was administered to 500 persons out of a total population of…

A: Here we have to check whether the Use of Drug X and Fever conditions are dependent or not to see the…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.