(11) The means of the random samples of sizes 9 and / are 196.42 and 198.42 respectively. squares of the deviations from the mean are 26.94 and 18.73 respectively. Can the samples to have been drawn from the same normal population? Use 5% level of significance.

Q: A normally distributed population with unknown variance has a mean of 20. If you took a random…

A: Given,  X is normally distributed with mean μ=20 and variance is unknown. A random sample of size…

Q: For the majority of maths tests taken at a school, it is shown that the test score is approximaly…

A: The normal distribution is the most useful theoretical distribution for continuous variable.  For…

Q: A score that is 9 points above the mean corresponds to a z score of +1. What is the population…

A: As given: A score is 9 points above the mean.  It corresponds to a z score of +1.  It is required…

Q: 3. Suppose the mean blood glucose of a population of adults is 162 with a standard deviation σ=58.…

A: Given that, n=36,μ=162σ=58 The mean and standard deviation of sample mean is,

Q: Suppose you are testing the null hypothesis that a population mean is greater than or equal to 60,…

A: State the hypotheses. That is, the population mean equals 60. That is, the population mean is less…

Q: An analysis of a data set (N = 16) has revealed that its standard deviation (SD) of 2. Then, what is…

A: GivenN=16standard deviation(SD)=2

Q: Given a normally distributed data set whose mean is 35 and whose standard deviation is 6.3, what…

A: The random variable X follows normal distribution. The population mean is 35. The population…

Q: In a population with a mean of µ = 30 and a standard deviation of σ = 5, a score of X = 18 would be…

A: Given that  μ=30 , σ=5 , X=18

Q: A single sample of n = 16 scores has a mean of M = 65 and an estimated standard error of 2 points.…

A:

Q: A sample of difference scores from a repeated-measures experiment has a mean of MD=3 with a standard…

A: The difference in score is measured so the null hypothesis will claim that the there is no…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days…

A: Determine the range that would be expect to obtain the middle 98% of most pregnancies.   The range…

Q: the average final examination scores produced by the two methods are different if the population…

A: Let sample 1 for method A and sample 2 for method B. Given: n1=40, n2=36x1¯=78, x2¯=74σ1=5, σ2=5

Q: A score that is 6 points below the mean correspond. to a z-score of z = -2.00. What is the…

A: The following is the formulae for z-score                       i.e., z=X-μσ Here, X is variable…

Q: A psychologist is conducting a study to learn about the difference between two population means, µ1…

A: Given Data: s1=4 s2=3   n1>n2

Q: A sample of n = 25 scores has a mean of x̅ = 65 and an estimated standard error of sx̅ = 2 points.…

A: The standard error is 2 points.

Q: For a random sample of 40 students, the average statistics midterm score is 73 points (out of a…

A: The sample size is 40, average statistics midterm score is 73 points, and standard deviation is 7.3.

Q: A random sample of n = 16 scores is obtained from a normal population with a mean of µ = 100 and a…

A:

Q: A random sample of size 25 from a normal population has mean 47.5 and standard deviation 8.4. Does…

A: In order to test the claim that the mean of the population is 42.1, conduct a single mean comparison…

Q: . The distribution of marks in a certain exami- nation was found to be normal with 23% of the…

A:

Q: For a random sample of 36 data pairs, the sample mean of the differences was 0.75. The sample…

A:

Q: A university dean of students wishes to estimate the average number of hours students wish to spend…

A: The formula for the sample size is as follows:

Q: Suppose you were to take samples of size 100 from a population with a mean of 12 and a standard…

A: The formula of the standard error of the mean is,

Q: A score that is 9 points above the mean corresponds to a z-score of z = 1.50. What is the population…

A:

Q: SAT scores are normally distributed with a mean of 1,800 and a variance of 22,500. Given arandom…

A:

Q: The per capita consumption of red meat by people in a country in a recent year was normally​…

A: Given  X~N(μ=101,σ2=37.92) n=17  We want to find sample mean and sample variance. Result:  x̄~N(μ,…

Q: Compute the standard score (Z-score) for x, when x = 42, the mean of the distribution = 26, and the…

A: x = 42Mean = 26Standard deviation = 8

Q: For a random sample of 9 women, the average resting pulse rate is x̅ = 76 beats per minute, and the…

A: Given: Sample size (n) = 9 Sample mean x¯=76 Sample standard deviation (s) = 5

Q: The scores on the final exam in a statistics course are close to being normally distributed. The…

A: Normal distribution: It is a continuous probability distribution, that is bell-shaped with lighter…

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, what value…

A: X follows a Normal distribution with mean = 35 and S.D = 7.5 Then z=(x-mean)/SD = (x-35)/7.5…

Q: In a specific year, SAT scores were Normally distributed with mean 1026 and standard deviation 209;…

A: Solution-: (a) Given: μ=1026,σ=209 We find P(scores will be above 1300)=? (b) Given: μ=1500,σ=250 We…

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, what value…

A: From the given information, normal distribution with population mean as 35 and standard deviation as…

Q: In an exam attended by 6000 people, the average of the grades is 60 and the standard deviation is…

A: It is given that the, In an exam attend by 6000 people, the average grade is 60 and the standard…

Q: Two accounting professors decided to test if the variance of their grades is different or no. To…

A: Given n 1 = 10  n 2 = 10   Mean grade standard deviation Professor 1 79.3 22.4 Professor 2…

Q: It is claimed that the average time spent by employees on telephone calls is less than 6 minutes. In…

A: The provided information is  x¯=5.8s=1.4n=25α=0.05a.The null and alternative hypothesis is…

Q: The heights of river birch trees are normally distributed with a mean of 92.3 inches and a standard…

A: Given that the heights of a river birch trees are normally distributed with  mean of 92.3 inches and…

Q: If you draw a sample of size 10 from a population of size 35 with a population mean of 83.4 and…

A: In question, Given that you draw a sample of size 10 from a population of size 35 with a population…

Q: For a random sample of 36 data pairs, the sample mean of the differences was 0.77. The sample…

A: NOTE: Since we only answer up to 3 subparts , we will answer the first 3. Please resubmit the…

Q: "suppose that a random sample of size 20 is taken from a normal distribution with unknown variance…

A: Given: n=20 μ=Unknownx=10σ2=1Andμ(Posterior)=15σ(Posterior)=0.1

Q: Two accounting professors decided to test if the variance of their grades is different or no. To…

A: A Statistical F Test uses an F-test to compare two variances. A Statistical F Test uses an F…

Q: The average score on a statistics test was 2.52 with a standard deviation of 0.75. The teacher…

A: Given : E(x) =2.52, SD(x) =0.75 Var(x)=0.752 =0.5625 New score is y=ax+b Such that : E(y) =3.58…

Q: Suppose a researcher observed a population of 12 people and computes SS = 204. What is the variance?…

A: We have given that  n = 12,   SS = 204 Variance = SS/n

Q: The means of two random samples of size 9 and 7 are 196-42 and 198.82 respectively. The sum of the…

A:

Q: What is the z score of x = 9, if it is 1.5 standard deviations to the right of the mean?

A: Given X = 9 also  X = μ + 1.5 (σ) --1

Q: A math teacher claims that the mean scores on a math assessment test for fourth grade boys and girls…

A: The provided information is  x¯2=151x¯2=149s1=36s2=34n1=13n2=15α=0.01 a.The null and alternative…

Q: Suppose scores on an IQ test are normally distributed, with a population mean of 100. Suppose 20…

A:

Q: A sample of n = 16 scores is selected from a population with μ = 80 with σ = 20. On average, how…

A: From the provided information, it is known that

Q: Suppose a researcher pbserves a population of 12 people and computes SS=204. What is the variance?…

A: The population size is N=12. The sum of squares is SS=204. Need to obtain: the variance and the…

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.