7 a) Suppose that X₁, X2, ...X24 are a random sample from a Normal distributio N(µ, σ²), where both μ and o² are unknown. Using this sample, we wish to test Ho µ² = 10 against Hå : o² < 10 using the rejection region RR = {S² : S² < c}. Determin the value of c that will make the test have significance level a = 0.05.
Q: PURPOSE This trial was designed to evaluate the optimal dose of massage for individuals with chronic…
A: The study included 228 participants, which is a relatively large sample size for a clinical trial.…
Q: To study cockpit sound level (the variable Noise) the following data was taken on 59 plane flights:…
A: The multiple linear regression model is given by: Noise^=64.00-0.47×Climb-1.18×Descent+0.08×Speed…
Q: The following table shows the number of wins eight teams had during a football season. Also shown…
A: The data shows the number of wins eight teams had during a football season.
Q: Person noving 5 different vinguerent outfits is 50% (n=5, p=.5). Find the probability a person has 7…
A: To solve this problem, we use the binomial distribution, which gives the probability of getting…
Q: Benson Manufacturing is considering ordering electronic components from three different suppliers.…
A: The chi-square test is used to measure the independence between the categorical variables. The…
Q: Find the value of E, the margin of error, for c = 0.90, n = 10 and s = 3.1. O 1.36 O 0.57 O 1.80 O…
A: here C=0.90n=10s=3.1here population sandard deviation is unknown so we use t-distribution
Q: A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 226…
A: We have given that, n = 12, x̄ = 226 and s = 17.9
Q: In a previous poll, 39% of adults with children under the age of 18 reported that their family ate…
A: Population proportion(P)=0.39n=1145x=422Sample proportion(p^)=xnSample…
Q: Develop a 95 percent confidence interval for the population mean. Provide Lower Confidence Limit and…
A: The question is about confidence interval Given : Randomly selected no. of workers ( n ) = 10 Data :…
Q: A _______________ symbol is part of the _____________ hypothesis, and implies this hypothesis is…
A: Hypothesis testing with null and alternate hypothesis H0 vs Ha
Q: A group of 49 randomly selected students has a mean age of 22.4 years. Assume the population…
A: Answer:- Given, sample size, n = 49 Sample mean, X̄ = 22.4 Population standard deviation, σ = 3.8…
Q: Identify the level of measurement corresponding to a data set "Cost of a Women Wool Coats" that is…
A: Level of measurements : Nominal : Qualitative data ( no order required ) As : Colour of eyes…
Q: The likelihood that a bulb is defective is 7%, on a particular line. Eight light bulbs are randomly…
A: Answer: From the given data, The probability of defective light bulbs (p) = 7% = 0.07 Sample size(n)…
Q: Which of the following tests can be used with ordinal data? Select all that apply Independent…
A: Non-parametric tests are procedures that don't make claims about the population at hand. It's not…
Q: How many different area codes were possible under these old rules?
A: For Finding the Number of Area Codes USA Today reporter Paul Wiseman described the old rules for the…
Q: Assume that when adults smartphones are randomly selected, 38% use them in meetings or classes. if…
A: Answer:- According to the given information, Probability of success, p = 38% = 0.38 Sample size, n…
Q: What is the mean of the sample distribution? What is the R code to find the probability that this…
A: The population mean: μ=2500 Standard deviation: σ=250 Sample Size: n=25
Q: Nenana, Alaska Ice Breakup Data 1917 - 2021 (Jan. 1 = day 1) (Alaska Standard Time) Year Year…
A: The data of years after 1900 and the number of days it takes for a wooden tripod placed on a frozen…
Q: In a science competition between two states, 20 students from each state were selected for the final…
A: From the given information, Mathematics Chemistry English State 1 98.6 78.6…
Q: 1. A recent article in a magazine reported that a job awaits only one in three new college…
A: The hypothesized proportion of college graduates with jobs is specified to be 1 in 3, i.e.,…
Q: 2. Suppose you have a list of all of the TAMUT students with birthdays in April. How many names…
A: First, we note that there are 30 days in the month of April. Suppose, we select N students randomly…
Q: QUESTION 10 A random sample of a professional golfer's 18-hole scores over the calendar year 2020…
A: We have given that, The data set are :- X :- 70, 72, 71, 82, 78 Then,
Q: The number of successes and the sample size are given for a simple random sample from a population.…
A: We have given the number of successes and the sample size for a simple random sample from a…
Q: ) Find a 95% confidence interval. Give Lower and Upper confidence limits, explicitly. e) What…
A: Let p be the population proportion of students who had jobs. Given that, Sample size (n) = 200 No.…
Q: a. After identifying the 16 different possible samples and finding the mean of each sample,…
A: Here given population have 4 numbers {31,28,27,18} Sample of size n = 2 are selected with…
Q: QUESTION 3 What would be the margin of error, E, for a 99% confidence interval created around a…
A: Confidence level (c) = 99% = 0.99Significance level (α) = 1 - 0.99 = 0.01 Standard error = 0.032
Q: 9.16 26.03 7.92 21.68 07.06 050
A: Performing regression analysis To find out the regression estimate, we need to perform Regression…
Q: Estimate the proportion of all students at this university who are First Year students. Use a 95%…
A: A parameter of interest is a statistical value of the population which is being tested based on the…
Q: a. How many individuals are described in this table? b. How many females were among the respondents?…
A: As per guidelines I have calculated first 3 subparts kindly REPOST for remaining parts. The…
Q: Suppose the age that children learn to walk is normally distributed with mean 11 months and standard…
A: X~N( μ , ?) μ=11 , ?=2.4 , n=35 Z-score =( x - μ )/? NOTE:- According to bartleby guidelines…
Q: Suppose that events E and F are independent, P(E)=0.6 and P(F)=0.8 What is the P(E and F)
A: Answer: From the given data, Events E and F are independent, P(E) = 0.6 and P(F) = 0.8
Q: Suppose that the number of minutes it takes a person to walk to class, X, is uniformly distributed…
A: X~Uniform(0,8)
Q: Which correlation is the weakest? a) r = 0.8 b) r = -0.8 c) r = 0.3 d) r = -0.5
A: We have given the following correlation a) r = 0.8 b) r = -0.8 c) r = 0.3 d) r = -0.5
Q: Out of 340 trials, 140 turned out positive. Find the margin of error for the 90% confidence interval…
A: X=140, n=340 p^=X/n
Q: Refer to the accompanying data table, which shows the amounts of nicotine (mg per cigarette) in…
A: For the above data set we can use excel to calculate f test statistic.
Q: A random sample of 10 seventh-grade students gave the following data on x = number of minutes…
A: Television Homework 15 50 120 30 50 30 40 60 60 40 90 35 120 20 20 60 10 45 60…
Q: Is it true to say that the linear correlation coefficient is 0.6839? this is true or false?
A: Here given scatter plot of data with Linear regression line. Equation of line : y = 740x + 435000…
Q: mean length of 25 cm. Because of the variability in the manufacturing process, the lengths of the…
A: Population mean μ =25 Population standard deviation =0.08
Q: In which of the following situations is it reasonable to use the procedure to obtain a confidence…
A: By interpreting the central limit theorem (i.e., CLT), for a large sample size (where the sample…
Q: A stem-and-leaf display or stem-and-leaf plot is a device for presenting quantitative data in a…
A: The mode of a dataset is the value that appears most frequently in the dataset.
Q: Consider the following hypothesis statement using α=0.01 and data from two independent samples.…
A: Hypothesis is an assumption that is being tested.
Q: Let X be an arbitrary random variable with mean μ and standard deviation o. Let x be its sample…
A: Here given sample size = n = 100 X is arbitray random variable have mean = µ and Standard deviation…
Q: The creator of the t-test, Gosset (who worked under the pseudonym Student) studied the effects of…
A: Sample size, n=10 Sample mean, x¯=2.33 Sample sd, s=2
Q: a. Calculate the mean of all the different samples of n = 2 measurements that can be selected from…
A: Here given , Population is {0, 2 , 4, 6} Sample size = n = 2
Q: You have two random variables M and N where the joint pdf is given by f_M,N(m,n) = 1/2 if m + n…
A:
Q: Using the information in Question #1, what are the degrees of freedom within groups?
A: To calculate the degrees of freedom within groups, we first need to calculate the total degrees of…
Q: QUESTION 13 Jenny is an avid bowler. She scores an average of 210 (out of maximum score of 300) with…
A: The variance is a measure of dispersion.
Q: 15. Make a decision. 16. Does this provide evidence that more than 70% of all Canadian children have…
A: Sample size n =625 Favorable cases x =425 Sample proportion p^=x/n =425/625 =0.68
Q: 1. Let c=0.90, o=3.6, and E=1.6. What is the minimum sample size, n, needed to estimate μ?
A: 1) Answer:- Given, Confidence level, c = 0.90 So, Significance level, α = (1-c) = (1-0.90) = 0.10…
Q: A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults,…
A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…
[Statistics] How do you solve this?
Step by step
Solved in 4 steps with 2 images
- In a survey of 460 drivers from the South, 397 wear a seat belt. In a survey of 340 drivers from the Northeast, 281 wear a seat belt. At alpha equals 0.06 , can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e).1)Remove the four potential outliers of 0, 0, 8, and 20, and then obtain a new histogram without the outliers. Does the data appear to be normally distributed now? 2)Assuming that the four potential outliers of 0, 0, 8, and 20 are not recording errors, repeat the hypothesis test from part (c) (again setting up the hypothesis test and using either the critical value or p-value approach), and compare your results with that obtained in (c). Did you make a different conclusion? 3)Imagine you know have to make a recommendation/conclusion to the company that hired you: Assuming that the four potential outlies are not recording errors, and looking at the two results above, would you recommend using the first test with the outliers or the second test with the outliers removed? There is no right or wrong answer here, I am interested in what you think and your reasoning.Let p1 and p2 be the respective proportions of women with iron-deficiency anemia in each of two developing countries. A random sample of 1900 women from the first country yielded 513 women with iron-deficiency anemia, and an independently chosen, random sample of 1700 women from the second country yielded 515 women with iron-deficiency anemia. Can we conclude, at the 0.10 level of significance, that the proportion of women with anemia in the first country is less than the proportion of women with anemia in the second country? Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. a. State the null hypothesis H0 and the alternative hypothesis H1. b. Find the values of the test statistic. c. FInd the p-value. d. Can we conclude that the proportion of women with anemia in the first country is less than the proportion of women with anemia in the second country?
- 1) A cement producer, manufactures and then fills 40kg-bags of powder cement on twodistinct production tracks located in separate suburbs. To determine whether differencesexist between the average fill rates for the two tracks, a random sample of 25 bags fromTrack 1 and a random sample of 16 bags from Track 2 were recently selected. Each bag’sweight was measured and the following information measures from the samples arereported:Production ProductionTrack 1 Track 2n1 = 25 n2 = 16x2 = 40.02 x1 = 39.87 s1 = 0.59 s2 = 0.88 Supervision believes that the fill rates of the two tracks are normally distributed with equalvariances.Construct a 95% confidence interval estimate of the true mean difference between the twotracks.--------------------------------------------------------------------------------------------------------------2) Two independent simple random samples were selected from two normallydistributed populations with unequal variances yielded the following information:Sample 1…In analyzing the consumption of cottage cheese by members of various occupational groups, the United Dairy Industry Association found that 326 of 837 professionals seldom or never ate cottage cheese, versus 220 of 489 white-collar workers and 522 of 1243 blue-collar workers (Sheet 53). Assuming independent samples, use the 0.03 level in testing the null hypothesis that the population proportions could be the same for the three occupational groups. Sheet 53 Group 1 Group 2 Group 3 Total seldom or never 326 220 522 1068 often 511 269 721 1501 Total 837 489 1243 2569 Select one: a) chi-square stat = 4.81, crit. value = 7.01, fail to reject H0, population proportions are not different b) p-value = 0.09, reject H0, population proportions are not different c) chi-square stat = 4.81, crit. value = 9.2, fail to reject H0, population proportions are not different d) p-value = 0.029, reject H0, population proportions differentSuppose that you are given two random variables x and y and you take measurements and obtain x1 = 2.3%, x2 = −7.6%, x3 = 0.1% and y1 = 60, y2 = 120, y3 = 80. Find the line of best fit y = α + βx. Calculate the correlation coefficient r and perform a left-tailed hypothesis test for r with significance level 10%. Based on this test, should we use this line to find the value of y when x = .5%?x y x2 y2 xy 2.3% 60 - 120 7.6% 0.1% 80
- The number of contaminating particles on a silicon waferprior to a certain rinsing process was determined for eachwafer in a sample of size 100, resulting in the followingfrequencies:Number of particles 0 1 2 3 4 5 6 7Frequency 1 2 3 12 11 15 18 10Number of particles 8 9 10 11 12 13 14Frequency 12 4 5 3 1 2 1a. What proportion of the sampled wafers had at leastone particle? At least five particles?b. What proportion of the sampled wafers had betweenfive and ten particles, inclusive? Strictly between fiveand ten particles?c. Draw a histogram using relative frequency on thevertical axis. How would you describe the shape of thehistogram?Suppose that you are given two random variables x and y and you take measurements and obtain x1 = 2.3%, x2 = −7.6%, x3 = 0.1% andy1 =60, y2 =120, y3 =80. Findthelineofbestfity=α+βx. Calculate the correlation coefficient r and perform a left-tailed hypothesis test for r with significance level 10%. Based on this test, should we use this line to find the value of y when x = .5%Suppose the random variables X and Y are inde lent and identically distributed. Let Z =aX +Y. If the correlation coefficient between X and Z is1/3 , then what is the value of the constant a ?
- You want to run a 2-tailed independent t-test on sample 1 (M = 24.3, SD = 1.6) and sample 2 (M = 27.5, SD = 1.8), which each have sample size = 5. You have set Alpha = 0.01. Assume equal variances and calculate t_obs.Following are the protein contents measured in two types of species:Species 1: 0.72 1.12 0.81 0.89 0.72 0.81 1.01 0.75 0.83Species 2: 1.21 0.93 0.80 1.12 1.22 0.94 0.87 i) Assuming normality, test the hypothesis that the two species have the sameaverage protein contents by using 5-step hypothesis testing procedure at 5 %level of significance, and using the critical values approach.ii) Calculate the p-value of this test and make decision.iii) Write down the standard error of this test and calculate its numerical value ?Let X1, ..., Xn be a sample from an Poisson population with parameter λ.(a) Find the maximum likelihood estimator for λ.(b) Is the estimator unbiased?(c) Is the estimator consistent?