Suppose that we are to conduct the following hypothesis test: H0: μ=1020 H1: μ>1020 Suppose that you also know that σ=220, n=95,x¯=1053, and take α=0.05. Draw the sampling distribution, and use it to determine each of the following: A. The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (−∞,a)(−∞,

Suppose that we are to conduct the following hypothesis test: H0: μ=1020 H1: μ>1020 Suppose that you also know that σ=220, n=95,x¯=1053, and take α=0.05. Draw the sampling distribution, and use it to determine each of the following: A. The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (−∞,a)(−∞,

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: H, =0; a= 0.05. Sample statistics: d = 3.2, s, =8.49, n= 9 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Hg: Has0 O B. Ho: Hg #0 H: H >0 Hg: Hg =0 O C. Ho: Ha 0 H: Hg sO O E. Hg: Ha20 F. Hoi Ha =0 H: Hg #0 The test statistic is t= 1.13. (Round to two decimal places as needed.) The critical value(s) is(are) to =-2.31,2.31. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Since the test statistic is the rejection region, V the null hypothesis. There V statistically significant evidence to reject the claim.
Suppose that you want to perform a hypothesis test for a population mean. Assume that the population standard deviation is unknown and that the sample size is relatively small. In each part, the distribution shape of the variable under consideration is given. Decide whether you would use the t-test, the Wilcoxon signed-rank test, or neither. a. Triangular b. Symmetric bimodal c. Left skewed
Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the giver using the given sample statistics. Claim: p#0.24; a = 0.01; Sample statistics: p = 0.22, n = 200 Can the normal sampling distribution be used? Yes, because both np and nq are greater than or equal to 5. O B. No, because np is less than 5. OC. No, because ng is less than 5. O D. Yes, because pq is greater than a = 0.01. State the null and alternative hypotheses. O A. Ho: ps0.24 H,: p>0.24 B. Họ: p=0.24 Hi p#0.24 OC. Họ: p20.24 H:p<0.24 O D. The test cannot be performed. Determine the critical value(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical value(s) is/are - 2.58, 2.58. (Round to two decimal places as needed. Use a comma to separate answers as needed.) O B. The test cannot be performed. Find the z-test statistic. Select the correct choice below and, if necessary, fill in…
Find the test statistic, t, to test the hypothesis that u, = H,. Two samples are randomly selected and come from populations that are normal. The sample statistics are given below. Round to three decimal places. n= 14 X = 21 n2 = 12 X2 = 22 S1=2.5 $2 = 2.8 A. -0.909 B. - 0.954 C. -1.558 D. -0.915 Click to select your answer. 02/16/21 Ch 2.1 Homework P Type here to search 99+ a Gip 立

Find the standardized test statistic estimate, z, to test the hypothesis that p, > p,. Use a= 0.01. The sample statistics listed below are from independent samples. Round to three decimal places. Sample statistics: n, = 100, x, = 38, and n2 = 140, X2 = 50 %3D %D O A. 0.638 B. 0.362 O C. 2.116 D. 1.324 S ting Click to select your answer. Type here to search hp 近

Find the test statistic, t, to test the hypothesiis that p, = ,. Two samples are randomly selected and come from populations that are normal. The sample statistics are given below. Round to three decimal places, n,=25 n, = 30 X, =32 X2 = 30 $=1.5 %3D $2=1.9 O A. 1.986 O B. 4.361 O C. 2.892 券 O D. 3.287 Click to select your answer. 02/16/21 ch 2.3 Homework a 99+
B. Samples of size n were randomly selected from the population. The mean and the standard deviations of the population are given below. In each case, find the mean and the variance of the sampling distribution of the means. μ = 3; o = 1.3 1. n = 2; 2. n = 5; μ = 2.75; o = 3.5 3. n = 8; μ = 32; o = 7.9 n = 6; μ = 4.3; o = 1.9 4. 5. n = 2; μ = 1.5; o = 2
Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the given level of significance a using the given sample statistics. Claim: p#0.29; a = 0.10; Sample statistics: p 0.25, n= 184 Can the normal sampling distribution be used? O A. Yes, because pg is greater than a= 0.10. O B. No, because ng is less than 5. O C. No, because np is less than 5. O D. Yes, because both np and ng are greater than or equal to 5. State the null and alternative hypotheses O A. Ho: p20.29 Hp0.29 &c. Họi p= 0.29 H p#0.29 OD. The test cannot be performed. Determine the critical value(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The critical value(s) is/are (Round to two decimal places as needed. Use a comma to separate answers as needed.) O B. The test cannot be performed.
Determine P and o- from the given parameters of the population and sample size. μ = 78, o = 24, n = 36 P=0
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Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the difference between two population proportions p, and p2 at the given level of significance a using the given sample statistics. Assume the sample statistics are from independent random samples. Claim: P1 = P2, a = 0.10 Sample statistics: X1 = 108, n, = 128 and x, = 32, n, = 195 %3D Can a normal sampling distribution be used? No Yes Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P1 = P2 Ha: P1 > P2 В. Но: Р1 <Р2 Ha: P1 = P2 O C. Ho: P1 # P2 Ha: P1 = P2 D. Ho: P1 = P2 Ha: P1 # P2 O E. A normal sampling distribution cannot be used, so the claim cannot be tested.
In a certain presidential election, Alaska's 40 election districts averaged 1,958.8 votes per district for a candidate. The standard deviation was 572.5. (There are only 40 election districts in Alaska.) The distribution of the votes per district for one candidate was bell-shaped. Let X = number of votes for this candidate for an election district. O Part (a) ....... O Part (b) O Part (c) Find the probability that a randomly selected district had fewer than 1,700 votes for this candidate. (Round your answer to four decimal places.) 0.3 Sketch the graph. 0.0007 0.0007 0.0006 0.0006 0.0005 0.0005 0.0004 0.0004 0.0003 0.0003 0.0002 0.0002 0.0001 0.0001 X 4000 X 4000 1000 2000 3000 1000 2000 3000 0.0007 0.0007 0.0006 0.0006 0.0005 0.0005 0.0004 0.0004 0.0003 0.0003 0.0002 0.0002 0.0001 0.0001 X 4000 1000 2000 3000 4000 1000 2000 3000 Write the probability statement. P( 0.62 O Part (d) Find the probability that a randomly selected district had between 1,800 and 2,000 votes for this…