A variable contains five categories. It is expected that data areuniformly distributed across these five categories. To test this, asample of observed data is gathered on this variable resulting infrequencies of 27, 30, 29, 21, and 24. Using a = .01, the critical valueof chi-square is _____.O 7.789.2413.28O 15.4815.09

Given, the number of categories (k) is 5.

Answered: A variable contains five categories. It…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An employment information service claims the mean annual salary for senior level product engineers is $96,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At a=0.10, test the claim that the mean salary is $96.000. Complete parts (a) through (e) below. Assume the population is normally distributed (a) Identify the claim and state Ho and H₂. Ho Y M H₂ N ▼ (Type integers or decimals. Do not round.) The claim is the hypothesis. (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are to (Use a comma to separate answers as needed. Round to two decimal places as needed.). Choose the graph which shows the rejection region О А. 15-6.176 4 -ho to Q Q (c) Find the standardized test statistic, t The standardized test statistic is t- (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Ho because the…
There has been a long-held belief that births occur more frequently in the "small hours of the morning" than at any other time of day. Sutton [1945] collected the time of birth at the King George V Memorial Hospital, Sydney, for 2654 consecutive births. (Note: The total number of observations listed is 2650, not 2654 as stated by Sutton.) The frequency of births by hour in a 24-hour day is listed in Table 3.16. (a) Sutton states that the data "confirmed the belief ... that more births occur in the small hours of the morning than at any other time in the 24 hours." Develop a graphical display that illustrates this point. (b) Is there evidence of Sutton's statement: "An interesting point emerging was the relatively small number of births during the meal hours of the staff; this sug- gested either hastening or holding back of the second stage during meal hours"? Table 3.16 Frequency of Birth by Hour of Birth Time Births Time Births Time 6-7 pm 7 pm 8 pm 9 pm 10 pm 11 pm 12 am 1 am 92 102…
Research department of the Municipal hospital in Prampram collected the mass (kg) of patients :it visited the health facility on March, 2018. Below are the masses (kg) of 40 patients who visited •.r hospital for analysis: 55 70 57 73 55 59 64 72 60 48 58 54 69 51 63 78 75 64 65 57 71 78 76 62 49 66 62 76 61 63 63 76 52 76 71 61 53 56 67 71 a) Construct a frequency table for the data using class width of 5. b) Calculate the mean, median and the standard deviation of the mass of the distributior c) Construct the cumulative graph.
An employment information service claims the mean annual salary for senior level product engineers is $97,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At α=0.10, test the claim that the mean salary is $97,000. Complete parts (a) through (e) below. Assume the population is normally distributed. Annual Salaries 100 ,637 96 ,395 93 ,509 112 ,609 82 ,472 74 ,162 76 ,989 80 ,977 102 ,467 76 ,251 103 ,944 104 ,042 91 ,135 82 ,152 85 ,096 110 ,269 Part 1 (a) Identify the claim and state H0 and Ha. (Type integers or decimals.) Part 2 (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are t0= (c) Find the standardized test statistic, t. The standardized test…
Which of the following figures is irrelevant in a chi square analysis? O Sample mean Degrees of freedom O Sample size O Number of variable categories
The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Percent of U.S.Households Observed Numberof Households inthe Community Married with children 26% 92 Married, no children 29% 121 Single parent 9% 31 One person 25% 102 Other (e.g., roommates, siblings) 11% 65 A) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to two decimal places. Round the test statistic to three decimal places.) B)Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)
a. Total frequency = 82 Observations on the largest frequency: 90.0, 90.1, 90.1, 90.1, 90.3, 90.4, 90.4, 90.4, 90.5, 90.6, 90.7, 90.8, 90.9 O b. Total frequency = 82 Observations on the largest frequency: 87.4, 87.5, 87.6, 87.7, 87.8, 87.9 O. Total frequency cannot be determined by the present diagram Observations on the largest frequency: 90.0, 90.1, 90.1, 90.1, 90.3, 90.4, 90.4, 90.4, 90.5, 90.6, 90.7, 90.8, 90.9 d. Total frequency = 18 Observations on the largest frequency: 90.0, 90.1, 90.1, 90.1, 90.3, 90.4, 90.4, 90.4, 90.5, 90.6, 90.7, 90.8, 90.9
Dr.Blume has trained observers to use frequency recording to record the behavior of 12 schizophrenic clients. According to the analysis of the data κ = 0 . 47, do you think the observers are sufficiently trained to allow Dr. Blume to proceed with the research?
Each observation in a random sample of 98 bicycle accidents resulting in death was classified according to the day of the week on which the accident occurred. Data consistent with information are given in the following table. x² Day of Week Frequency = Sunday Monday Tuesday Wednesday Thursday Friday Saturday 13 12 12 14 13 18 Based on these data, is it reasonable to conclude that the proportion of accidents is not the same for all days of the week? Use a = 0.05. Calculate the test statistic. (Round your answer to two decimal places.) 16 Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = State the conclusion in the problem context. O Reject Ho. We have convincing evidence that the proportion of accidents is not the same for all days of the week. O Fail to reject Ho. We have convincing evidence that the proportion of accidents is not the same for all days of the week. ● Fail to reject Ho. We do not have convincing evidence that the proportion…
Listed below are the measured radiation absorption rates (in W/kg) corresponding to 11 cell phones. Use the given data to construct a boxplot and identify the 5-number summary. 1.16 0.61 0:87 1.27 1.46 0.73 1.09 1.04 1.48 0.52 0.63 The 5-number summary is and all in W/kg. (Use ascending order. Type integers or decimals. Do not round.)
The types of raw materials used to construct stone tools found at an archaeological site are shown below. A random sample of 1486 stone tools were obtained from a current excavation site. Raw Material Regional Percent of Stone Tools Observed Number of Tools as Current excavation Site Basalt 61.3% 893 Obsidian 10.6% 165 Welded Tuff 11.4% 179 Pedernal chert 13.1% 198 Other 3.6% 51 (A) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)
A particular paper included the accompanying data on the tar level of cigarettes smoked for a sample of male smokers who subsequently died of lung cancer. Assume it is reasonable to regard the sample as representative of male smokers who die of lung cancer. Is there convincing evidence that the proportion of male smoker lung cancer deaths is not the same for the four given tar level categories at the ? = .05 level? (Use 2 decimal places.) Tar Level Frequency 0-7 129 8-14 324 15-21 543 22 153 ?2 = P-value interval p < 0.0010.001 ≤ p < 0.01 0.01 ≤ p < 0.05 0.05 ≤ p < 0.10 p ≥ 0.10

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