Two random samples are selected from two independent populations. A summary of the samples sizes and sample means is given below:   ?1=41,?2=50,?¯1=57.1?¯2=78.8n1=41,x¯1=57.1n2=50,x¯2=78.8   If the 94% confidence interval for the difference ?1−?2μ1−μ2 of the means is (-25.0943, -18.3057), what is the value of the pooled variance estimator? (You may assume equal population variances.) Pooled Variance Estimator =

Q: A magazine provided results from a poll of 1000 adults who were asked to identify their favorite…

A: Given level of confidence = 0.90 So, level of significance (α) = 1 - level of confidence

Q: [t (47) = -8.21, p = .03] Based on the parenthetical statement given above, what is the sample size…

A: The t-critical value at 47 degrees of freedom is -0.82.

Q: ou wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02.…

A: As you do not know the standard deviation, we will use a t-test. Given: n=89 M=X=75.7 SD=s= 16.4 The…

Q: A random sample of size n, = 29, taken from a normal population with a standard deviation o, = 6,…

A: The confidence level is 0.96.

Q: Suppose 1Q scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements…

A: T test is used to determine whether there exist mean significance between sample and population,…

Q: n HR manager in a company wants to know if there’s a difference in the amount of time workers in…

A: The hypothesis can be constructed as:

Q: A random sample of n = 4 scores is obtained from a normal population with ? = 20 and ? = 4. What is…

A:

Q: Suppose a study reported that the average person watched 1.87 hours of television per day. A random…

A: Consider that μ is the population mean amount of television watched by the average person per day.

Q: he test of H0:  = 19 against Ha:  ≠ 19 based on an SRS of 15 observations from a Normal population…

A: Given: H0:μ=19 H1:μ ≠19 SRS = 15 T= -1.75

Q: Give a 99.8% confidence interval, for μ1−μ2 given the following information. n1=20 ¯x1=2.91,…

A:

Q: 9% of all Americans suffer from sleep apnea. A researcher suspects that a higher percentage of those…

A: 1)

Q: An investigator is interested if there is a difference in the time (in seconds) to sprint a given…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: Two types of plastic are suitable for an electronics component manufacturer to use. The breaking…

A: Given Data : For Sample 1 x̄1 = 162.5 σ1 = 1 n1 = 10 For Sample 2 x̄2 = 155…

Q: 2. Two detergents were tested for their ability to remove stains. The first one was suc- cessful on…

A: Given x1=63, n1=91          x2=42, n2=79 The critical value of Z-score at 95% confidence interval is…

Q: Q1. The values listed below are the obtained values for a t statistic (you should have 4 answers for…

A: Question 1)1.The degree of freedom is . The level of significance is .It is a two-tailed test. 2.…

Q: 10% of all Americans suffer from sleep apnea. A researcher suspects that a higher percentage of…

A:

Q: 10% of all Americans suffer from sleep apnea. A researcher suspects that a different percentage of…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: the claim that there is a correlation (Ha:p7 0). а You have a data set with 5 subjects, in which two…

A: From provided information, hypothesis test is conducted to determine if the bivariate data set.…

Q: Two random samples taken from two normal populations yielded the following information: Sample 1…

A: Given: Sample Sample size Sample variance 1. n1=8 s12  =15 2. n2=20 s22 =42…

Q: Two random samples are selected from two independent populations. A summary of the samples sizes and…

A: Given: n1 = 45 X1 = 57.4 n2 = 50 X2 = 73 Formula Used: Confidence Interval for difference between…

Q: Given a critical t score of -2.33 and t observed being -2.01, the decision you should make is…

A: It is given that the critical t score is -2.33 and the observed t value is -2.01.

Q: A random sample selected from a normal population with mean variance o2 gave the values 25, 31, 23,…

A:

Q: A telephone poll of 818 adult Americans was reported in an issue of Time Magazine. One of the…

A: Given P=0.39 Alpha=0.07

Q: 6) Use a significance level of a = 0.05 to test the claim that u 32.6. The sample data from normal…

A: x¯=41.9 s=7.7 n=15 Claim : μ≠32.6 α=0.05 degrees of freedom(df)=n-1 df=15-1=14

Q: Give a 95% confidence interval, for μ1−μ2 given the following information. n1=25, ¯x1=2.54, s1=0.89…

A: Solution: From the given information, n1=25, n2=45, x1-bar =2.54, x2-bar=2.34, s1=0.89 and s2=0.99.…

Q: The critical t value for aa= 0.1 with d.f. 18 for a two-tailed t test = +1.96 and-1.96 1.645 +2.58…

A: Critical value: Critical value is the cut off point that divides the acceptance and rejection region…

Q: What is the value of Fcrit for an experiment with k = 3, n1 = n2 = n3 = 10 subjects, and α = 0.01?

A: The total number of observations is, N=n1+n2+n3=30.The numerator degrees of freedom is, k-1=2.The…

Q: In a right-tailed test with known population standard deviation, the sample size was 8. At α = 0.05,…

A: The test is right-tailed.The population standard deviation is known.Sample size is .Significance…

Q: A sample of n=24 is selected from a population = 120 and σ = 40.  If the sample mean is 130, what is…

A: It is given that the population mean, μ=120 and standard deviation, σ=40. For the sample size of 24,…

Q: Find the critical values χ21−α/2 and χ2α/2 for a 90​% confidence level and a sample size of n=10.

A:

Q: The recidivism rate for convicted sex offenders is 8%.  A warden suspects that this percent is lower…

A: Z-test for population proportion will be used. The hypotheses can be constructed as: H0: p = 0.08…

Q: 13% of all Americans suffer from sleep apnea. A researcher suspects that a different percentage of…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: The results of a study that used an independent samples t-test was t(28) = 2.14, p = .01. Based on…

A: t(28) means that degree of freedom  = 28 Now, degree of freedom for a t-test one sample case  = n-1.

Q: Sample Sample size Sample variance 1 N1 = 11 s = 12 %3D 2 n2 = 8 s = 23 i. Find the test statistic F…

A: The provided sample variances are s12=12s_1^2 = 12 and s22=23s_2^2 = 23  and the sample sizes are…

Q: A sample of n = 49 scores with M = 43 is selected from a population with µ = 40 with σ = 21. What is…

A: Mean = 40 Standard deviation = 21 Sample size = 49 Sample mean = 43

Q: With a = .01, what is the critical t value for a one-tailed test with n = 30? O t = 2.457 Ot = 2.462…

A:

Q: You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.…

A: Given information: The sample size is n=29. The sample mean is M=71.2. The sample standard deviation…

Q: You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.…

A: given data n = 100x¯ =71s = 12.6α = 0.10claim : μ >69.1

Q: a sample of n=16 scores has mean of M=58 with SS=540. Use the sample to construct the 95% confidence…

A: Solution: From the given information, n=16, M=58 and SS=540.

Q: What is tα/2,df for a 95% confidence interval of the population mean based on a sample of 15…

A: Solution: We have to find the t-critical value (tα/2) at the given significance level 1- 0.95=0.05…

Q: Are blonde female college students just as likely to have boyfriends as brunette female college…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: Find the critical values χ21−α/2 and χ2α/2 for a 80​% confidence level and a sample size of…

A: From provided information, n=25 Confidence level is 80%, i.e. (1-α)=0.80, Thus, significance level…

Q: If a researcher reported for a single-sample t-test that t(17) = 2.90, p<.02, how many subjects…

A: It is given that the test is single-sample t test and the degrees of freedom is 17.

Q: If a sample of n = 4 scores is obtained from a normal population with µ = 70 and σ = 12, what is the…

A: Sample size, n = 4 Mean = 70 Standard deviation = 12 Sample mean = 69 (Raw score)