The accompanying data table lists the magnitudes of 50 earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample.

The accompanying data table lists the magnitudes of 50 earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 28E

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2. Using the data provided in question 1, assume now that the data was obtained from two indepen- dent samples. That is, 28 subjects were enrolled into the study, and half were randomly assigned to the corn flakes diet, and half to the oat bran diet. After two weeks the LDL cholesterol level of each individual was recorded. (a) What are the appropriate null and alternative hypotheses for a two-sided test? (b) Conduct the test at the 0.05 level of significance. What is the p-value? (c) What do you conclude? (d) Construct a 95% confidence interval. (e) Compare the results obtained in this problem with the results obtained in question 1.
The Harris Corporation University of Florida study to determine whether a manufacturing process performed at a remote location can be established locally. Test devices (pilots) were set up at both the old and new locations and voltage readings on 30 production runs at each location were obtained. The data are given in the table attached. a. Compare the mean voltage readings at the two locations using a 95% confidence interval. b. Based on the interval, part a, does it appear that the manufacturing process can be established locally.
Consider the following hypotheses: Moi p20.48 Hai p<0.48 Book Which of the following sample information enables us to reject the null hypothesis at a = 0.05 and at a = 0.10? (You may find it useful to reference the appropriate table: ztable or table) (Round ll intermediate calculations to at least 4 decimal places.) Hint nnt rences a= 0.06 a- 0.1 a. x = 50, n = 122 bx = 118, n = 329 cp-042, n= 41 d. p=042, n = 413 TABLE 2 Student's t Distribution Entries in this table provide the values of t that correspond to a given upper-tail area a and a specified number of degrees of freedom df. For example, for a = 0.05 and df = 10, P(T10 2 1.812) = 0.05. Area in Upper Tail, a
Ascientist investigated the effect of cross-fertilization on the heights of plants. In one study, the scientist planted 15 pairs of a species of plant. Each pair consisted of one cross-fertilized plant and one self-fertilized plant grown in the same pot. The accompanying table gives the height differences, in eighths of an inch, for the 15 pairs. Each difference is obtained by subtracting the height of the self-fertilized plant from that of the cross-fertilized plant. Complete parts (a) through (e) below. Click here to view the data. Click here to viewa table of critical values of t. a. Identify the variable under consideration. What is the variable? V Height b. Identify the two populations What are the populations? A. The self-fertilized plants and the cross-fertilized plants c. Identify the paired-difference variable What is the paired-difference variable? O C. Height of the cross-fertilized plant – height of the self-fertilized plant d. Are the numbers in the table paired…
length period cm 1 19 0.8625 *. 24 0.9667 3 29 1.1083 4. 34 1.1958 ... 39 1.2292 ... 6 44 1.3625 7 49 1.4083 8 54 1.4542 9 58 1.5375 10 63 1.6792 11 68 1.6875 period vs length 1.7 1.6 1.5 1.4 1.3 1.2 1.1 1 0.9 20 30 40 50 60 length (cm) Display Curve Fit Uncertainties period Curve: t = Al +B A : 0.0167 B: 0.589 s RMSE : 0.0355 s r: 0.992 cm (s) pouad
Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the x = 0.05 level of significance with 10 degrees of freedom. (b) Determine the critical value(s) for a left-tailed test of a population mean at the x = 0.05 level of significance based on a sample size of n = 15. (c) Determine the critical value(s) for a two-tailed test of a population mean at the α = 0.10 level of significance based on a sample size of n = 19. Click here to view the t-Distribution Area in Right Tail. (a) terit (b) tcrit (c) tcrit = + 1.812 (Round to three decimal places as needed.) = || 1.761 (Round to three decimal places as needed.) (Round to three decimal places as needed.)
Critical Values: z0.005 = 2.575, z0.01 = 2.325, z0.025 = 1.96, z0.05 = 1.645, z0.1 = 1.282When d.f.=31: t0.005 = 2.744, t0.01 = 2.453, t0.025 = 2.040, t0.05 = 1.696 t0.1 = 1.309 1. In a random sample of soldiers who fought in the Battle of Preston, 774 soldiers were fromthe New Model Army, and 226 were from the Royalist Army. Use a 0.05 significance level to test theclaim that fewer than one quarter of the soldiers were Royalist.
Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the a = 0.01 level of significance with 10 degrees of freedom. (b) Determine the critical value(s) for a left-tailed test of a population mean at the a = 0.01 level of significance based on a sample size of n = 15. (c) Determine the critical value(s) for a two-tailed test of a population mean at the a = 0.10 level of significance based on a sample size of n = 16. E Click here to view the t-Distribution Area in Right Tail. (a) terit = (Round to three decimal places as needed.) (b) tcrit = (Round to three decimal places as needed.) (c) terit = (Round to three decimal places as needed.)
Critical Values: z0.005 = 2.575, z0.01 = 2.325, z0.025 = 1.96, z0.05 = 1.645, z0.1 = 1.282When d.f.=31: t0.005 = 2.744, t0.01 = 2.453, t0.025 = 2.040, t0.05 = 1.696 t0.1 = 1.309 In a random sample of soldiers who fought in the Battle of Preston, 774 soldiers were fromthe New Model Army, and 226 were from the Royalist Army. Use a 0.05 significance level to test the claim that fewer than one quarter of the soldiers were Royalist
Critical Values: z0.005 = 2.575, z0.01 = 2.325, z0.025 = 1.96, z0.05 = 1.645, z0.1 = 1.282When d.f.=31: t0.005 = 2.744, t0.01 = 2.453, t0.025 = 2.040, t0.05 = 1.696 t0.1 = 1.309 In a random sample of 32 fossilized male femurs found at the Gronsalen Barrow, the meanweight was 10.2 oz and the standard deviation was 0.42 oz. Use a 0.01 significance level to test theclaim that the mean weight of the femurs of the males who lived there was 10.4 oz.
A student will buy printer paper and graph paper. Part A: Let p represent the number of packages of printer paper, and let g represent the number of packages of graph paper. Which inequality represents the constraint on the amount of money the student can spend? • Printer paper costs $3 per package • Graph paper costs $4 per package • The student needs to buy at least 6 packages of paper • The student can spend at most $36 Op+8< 36 Op+826 o 3p + 4g s 36 o 3p + 4g s 6 Part B: Which graph represents all of the possible combinations of packages of printer paper and graph paper the student can purchase based on the scenario? Number of packages of printed paper Number of packages of printed paper
To test Ho = 105 yersus H₁: #105 a simple random sample of size n = 35 is obtained. Complete parts a through e below. Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distributed to test this hypothesis? Why? A. Yes, because n ≥ 30. B. Yes, because the sample is random. C. No, because n ≥ 30 OD. No, because the test is two-tailed. (b) If x= 102.0 and s=5.7, compute the test statistic. The test statistic is to = (Round to two decimal places as needed.) ...