Tests the claim that 41 < µ2. Assume the samples are normally distributed, random and independent. of + o S1 = 0.55; s2 = 0.64 41.79 ; 2 = 42.01 n1 = 41 ; n2 = 36 Standard Error t-Test Statistic Degrees of Freedom (E – 22) – (41 – 2) Smaller of (n1 – 1) or (n2 – 1) t = - n2 a. Calculate the Standard Error si , = (use 3 decimal places) b. Calculate the t-test statistic using the standard error from part a. t= (use 2 decimal places) C. What are the degrees of freedom? d f = d. At a = 0.05. Use the distribution table to find the critical values for the rejection region te (use 4 decimal places)
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A t-test is a type of inferential statistic used to determine if there is a significant difference between the means of two groups. The two groups may be related or unrelated. It allows us to compare the average values of the two data sets and determine if they came from the same population.
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- answer With details pls. can you explain the difference between the E(Yn) E(Yi) and E(Y(n)) .Let m denote margin of error, n sample size and σ standard deviation. m= zα/2(σn) Solve the above equation for n.The calibration of a scale is to be checked by weighing a 11 kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with o = 0.200 kg. Let u denote the true average weight reading on the scale. (a) What hypotheses should be tested? Ho: H = 11 Ha: u + 11 Ho: H + 11 H3i H 11 a (b) With the sample mean itself as the test statistic, what is the P-value when x = 10.83? (Round your answer to four decimal places.) What would you conclude at significance level 0.01? Conclude that the true mean measured weight differs from 11 kg. Conclude that the true mean measured weight is the same as 11 kg. (c) For a test with a = 0.01, what is the probability that recalibration is judged unnecessary when in fact u = 11.2? (Round your answer to four decimal places.) For a test with a = 0.01, what is the probability that recalibration is judged unnecessary when in fact u = 10.9? (Round your answer to…
- 26 The table to the right shows the cost per ounce (in dollars) for a random sample of toothpastes exhibiting very good stain removal, good stain removal, and fair stain removal. At α=0.01, can you conclude that the mean costs per ounce are different? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from a normal population, that the samples are independent of each other, and that the populations have the same variances. Very good stain removal Good stain removal Fair stain removal 0.37 0.75 0.60 0.49 2.66 1.18 0.33 0.46 0.46 1.64 0.33 0.50 0.58 0.41 1.39 (b) Identify the degrees of freedom for the numerator and for the denominator, determine the critical value, and determine the rejection region. The degrees of freedom for the numerator, d.f.N, is ____ and the degrees of freedom for the denominator, d.f.D, is _____ The critical…6.9 To enter the cumulative normal distribution table Þ(Z), calculate Z and Z at the spec limits. upper lower Þ(2) = 0.9772 and Þ(-2) = 0.0228, the area to the right of the USL plus to the left of the LSL is 0.0456.True False 1.4 From the t-distribution table we can find values -ta, and ta, so that: P(-ta,Suppose in a local Kindergarten through 12th grade (K -12) school district, 49% of the population favor a charter school for grades K through 5. A simple random sample of 144 is surveyed. a. Find the mean and the standard deviation of X of B(144, 0.49). Round off to 4 decimal places. O = b. Now approximate X of B(144, 0.49) using the normal approximation with the random variable Y and the table. Round off to 4 decimal places. Y - N( c. Find the probability that at most 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X 75) - P(Y > a (Z > e. Find the probability that exactly 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X = 81) - P(31 Help me answer the following questionEstimate ff e+y“ dA with R = [0, 3] × [0, 3] using m = n = 2 and midpoints as your R sample points.Suppose in a local Kindergarten through 12th grade (K -12) school district, 49% of the population favor a charter school for grades K through 5. A simple random sample of 144 is surveyed. a. Find the mean and the standard deviation of X of B(144, 0.49). Round off to 4 decimal places. O = b. Now approximate X of B(144, 0.49) using the normal approximation with the random variable Y and the table. Round off to 4 decimal places. Y - N( c. Find the probability that at most 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X 75) - P(Y > a (Z > e. Find the probability that exactly 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X = 81) - P(J Suppose that Shoe Sices Of American women have a bell Shaped elu standard with a mean of 8,37 and a eleviation of 1.49, using the empirical Rule what percentage of american women have Shoe Sizes that are no more than 9.su? do not Roundl your answerWe have a random sample of 36 data palrs where the sample mean of the differences is 1.18 and the sample standard devlation of the differences Is 3. 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