Tests the claim that p1>p2. Assume the samples are random and independent. x1=55 ; x2=24 n1=99 ; n2=100 1.) At α=0.011 , Use the distribution table to find the critical values for the rejection region Zc=
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Tests the claim that p1>p2. Assume the samples are random and independent.
x1=55 ; x2=24
n1=99 ; n2=100
1.) At α=0.011 , Use the distribution table to find the critical values for the rejection region
Zc=
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- Assume the samples are random and independent, the populations are normally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At α=0.10, is there enough evidence to conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below.Plz help asap t2.suppose you and a friend each take different random samples of data pairs (x,y) from the same popuation. Assumethe samples are the same size. Based on your samples, you compute r=0.83. Based on her sample, your friend computes r=0.79. Is your friends value for r wrong?
- Recall the data for the three populations. p1 = 0.576 n1 = 250 p2 = 0.48 n2 = 300 p3 = 0.45 n3 = 200 Find the critical value for the pairwise difference between populations i = 1 and j = 3, CV13, rounding the result to four decimal places. CVij = ??2 pi(1 − pi) ni + pj(1 − pj) nj CV13 = ?20.05 p1(1 − p1) n1 + p3(1 − p3) n3 = 5.991 0.576(1 − 0.576) 250 + 0.45(1 − 0.45) = Find the critical value for the pairwise difference between populations i = 2 and j = 3, CV23, rounding the result to four decimal places. CVij = ??2 pi(1 − pi) ni + pj(1 − pj) nj CV23 = ?20.05 p2(1 − p2) n2 + p3(1 − p3) n3 = 5.991 0.48(1 − 0.48) 300 + 0.45(1 − 0.45) =Suppose Y1, Y2, ·..,Yn is an iid sample from a N(u, o) population distribution. Let Ỹ and S² denote the sample mean and sample variance, respectively. Let Y - H Q1 vn (n – 1)S² Q2 Using the mgf technique determine the distribution of Q? + Q2.Assume that IQ scores are normally distributed with μ = 100 and σ = 15 What IQ score would be needed to score in the top 2% of IQ scores?
- The average American gets a haircut every 39 days. Is the average larger for college students? The data below shows the results of a survey of 15 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. 48, 51, 38, 33, 32, 33, 34, 37, 40, 44, 45, 37, 33, 48, 38 What can be concluded at the the αα = 0.10 level of significance level of significance? 1. For this study, we should use?? t-test for a population mean or z-test for a population mean 2. The null and alternative hypotheses would be: H0:H0: ? p or μ Select an answer ≤ = ≠ ≥ > < H1:H1: ? μ or p Select an answer ≤ = < > ≠ ≥ 3. The test statistic ? t or z = ______ (please show your answer to 3 decimal places.) 4. The p-value = ______ (Please show your answer to 3 decimal places.) 5. The p-value is ? ≤ or > 6. Based on this, we should Select an answer accept fail to reject reject the null hypothesis. 7. Thus, the final…We 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. Then the sample test statistic Is d = 1.18 Using these values, along with u = 0, we calculate the corresponding t value for the test statistic. 1.18 - 0 V V36 0.065The sample data for a t-test of Ho:u=15 and H2: µ >15 are sample mean=16.2, s=3.1 and n=18. Use a = 0.05 to draw your conclusion. (Ott, 1993)
- Suppose Y1, Y2, ,Y, is an iid sample from a N(4, o') population distribution. Let Y and S' denote the sample mean and sample variance, respectively. Let Q1 =0 (n – 1)S2 Q2 %3D Using the mgf technique determine the distribution of Qž + Q2.T= DF=The maximum patent life for a drug is 17 years. Subtracting the length of time required by the FDA for testing and approval of the drug provides the actual patent life for the drug that is, the length of time that the company has to recover research and development costs and to make a profit. The distribution of the lengths of actual patent lives for new drugs is given below, where Y is a random variable representing actual patent life of a drug (in years): y P(Y=y) F(y) 4 5 6 7 8 9 10 11 0.06 0.08 0.11 0.15 0.22 0.18 0.12 0.08 a) Complete the table above with the cumulative probability distribution for actual patent life (F(y) = P(Y ≤ y)). b) What is the probability that the actual patent life of a random drug is 6 years or less? c) What is the probability that the actual patent life of a random drug is more than 8 years? Show this in two ways: i. using the probability distribution for Y ii. using the cumulative probability distribution for Y, and applying our probability of comple-…
