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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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Suppose you take a sample of 25 Reese's pieces. The proportion of orange is 0.4. What is the p-value when testing the hypothesis that the actual proportion of orange for all Reese's pieces is 0.5? Round to two places.
In the US, 43.9% of all people have type O blood, 40.6% have type A blood, 10.8% have type B blood and 4.7% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires. The table below shows the results of a random sample of 3488 millionaires. What can be concluded at the a = 0.05 significance level? a. Complete the table by filling in the expected frequencies. Round to the nearest whole number: Frequencies of Blood Type Outcome Frequency Expected Frequency 1521 A 1427 В 376 АВ 164
I. In the following study educational researchers were interested in whether a New Method for teaching mathematics was more effective than the Standard Method. A sample of 20 students were taught by the Standard Method, while another sample of 15 students were taught by the New Method. Each student was given a mathematics proficiency test at the end of the teaching period. The scores on this test are tabulated below: Standard 54.2 61.9 69.2 76.1 55.8 67.3 73.9 67.3 73.9 71.4 Method New Method 76.4 69.6 66.0 81.1 66.6 77.2 89.9 85.4 66.3 67.9 77.5 70.3 63.2 33.4 55.6 42.0 13.8 10.7 36.9 71.6 37.9 23.7 14.5 26.6 55.2 Some Summary Statistics are given below: Er Ex? Standard 20 Method New Method 1417.4 101932.70 15 632.9 33669.55
A researcher wants to determine the sensitivity of mammograms to determine how effective they are at diagnosing women who have breast cancer. Assume the researcher obtained the above results from a study, calculate and interpret the sensitivity of mammograms for detecting breast cancer. Frequency of Breast Cancer Cases Frequency of Non-Cancer Cases Frequency of Individuals Who Screened Positive 17 5 Frequency of Individuals Who Screened Negative 8 77 Group of answer choices: a. A total of 66.67% of individuals who have breast cancer test positive for breast cancer when using a mammogram as the primary diagnostic test for breast cancer. b. A total of 68% of individuals who have breast cancer test positive for breast cancer when using a mammogram as the primary diagnostic test for breast cancer. c. A total of 70.59% of individuals who have breast cancer test positive for breast cancer when using a mammogram as the primary diagnostic test for breast cancer. d. A total of…
During the first 13 weeks of the television season, the Saturday evening 8:00 PM to 9:00 PM audience proportions were recorded as ABC 29%, CBS 26%, NBC 24%, and Independents 21%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 93 homes, CBS 68 homes, NBC 87 homes, and independents 52 homes. Test with a .05 to determine whether the viewing audience proportions changed. Round your answers to two decimal places. Test statistic 6.76 ✔ p-value is between between 05 and.101 Conclusion: There is no significant change in the viewing audience proportions.
The accuracy of a census report on a city in southern California was questioned by some government officials. A random sample of 1215 people living in the city was used to check the report, and the results are shown below. Census Sample Result Ethnic Origin Percent Black 10% 123 Asian 3% 46 38% Anglo Latino/Latina 471 41% 505 Native American 6% 61 All others 2% 9. A USE SALT Using a 1% level of significance, test the claim that the census distribution and the sample distribution agree. (a) What is the level of significance? State the null and alternate hypotheses. O H: The distributions are the same. H: The distributions are different. O Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are the same. H,: The distributions are the same. O Ho: The distributions are different. H: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places.…
Public relation companies conducted two surveys about deodorants. The first survey asked a random sample of 500 men about their use of a natural deodorant. A second survey asked the same questions to a random sample of 550 women. In these two studies, 68% of men and 44% of women stated they were dissatisfied with the effectiveness of natural deodorants. Use these results to answer the following questions about the proportion of men and women's satisfaction with natural deodorants. (Round to the nearest whole person as needed). Is there a statistically significant difference between men and women's satisfaction with natural deodorants? A Yes, the proportion of men that are satisfied with natural deodorants is significantly less than the proportion of women that are satisfied with natural deodorants because both the lower limit and the upper limit of the confidence interval are positive values. B Yes, the proportion of men that are satisfied with natural…
During the first 13 weeks of the television season, the Saturday evening 8 p.m. to 9 p.m. audience proportions were recorded as ABC 30%, CBS 27%, NBC 26%, and independents 17%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 94 homes, CBS 71 homes, NBC 88 homes, and independents 47 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. O Ho: The proportions are not PABC = 0.30, PCBS = 0.27, PNBC = 0.26, PIND = 0.17. Ha: PABC = 0.30, PCBS = 0.27, PNBC = 0.26, PIND = 0.17 O Ho: PABC = 0.30, PCBS = 0.27, PNBC = 0.26, PIND = 0.17 Ha: PABC # 0.30, PCBS # 0.27, PNBC # 0.26, PIND * 0.17 O Ho: PABC # 0.30, PCBS # 0.27, PNBC # 0.26, PIND = 0.26, PIND Ha: PABC 0.30, PCBS = 0.27, PNBC = # 0.17 = = 0.17 = 0.26, PIND O Ho: PABC = 0.30, PCBS = 0.27, PNBC 0.30, PCBS = Ha: : The proportions are not PABC Find the value of the test statistic. (Round your…
During the first 13 weeks of the television season, the Saturday evening 8 p.m. to 9 p.m. audience proportions were recorded as ABC 31%, CBS 26%, NBC 27%, and independents 16%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 97 homes, CBS 68 homes, NBC 91 homes, and independents 44 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. Ho: PABC + 0.31, PCBS H = 0.31, PCBS a: PABC O Ho: The proportions are not PABC H₂: PABC = 0.31, PCBS O Ho: PABC 0.31, PCBS + 0.26, PNBC = 0.26, PNBC + 0.27, PIND = 0.27, PIND Need Help? Read It = 0.31, PCBS = 0.26, PNBC 0.27, PIND = 0.16. = 0.16 = 0.27, PIND = 0.27, PIND = 0.16 = 0.26, PNBC = 0.26, PNBC H: The proportions are not PABC Ho: PABC = 0.31, PCBS = 0.26, PNBC + 0.31, PCBS = 0.27, PIND = 0.16 + 0.26, PNBC * 0.27, PIND * 0.16 Ha: PABC Find the value of the test statistic. (Round your answer to…
During the first 13 weeks of the television season, the Saturday evening 8:00 P.M. to 9:00 P.M. audience proportions were recorded as ABC 29%, CBS 27%, NBC 25%, and Independents 19%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 95 homes, CBS 62 homes, NBC 84 homes, and Independents 59 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. Find the test statistic and p-value. (Round your test statistic to two decimal places. Use Table 3 of Appendix B.) Test statistic = p-value is - Select your answer - Conclusion: There is - Select your answer v change in the viewing audience proportions. - Select your answer - no significant a significant
Ten samples of 20 boxes of cereal are weighed, and the means of the samples are found to vary from 364.4 to 371.9 grams. If ten more samples of 30 boxes each were weighted, which of the following ranges of means would you most likely expect to find among the ten samples, given μ=368 grams and s=15 grams? A. 368.1-368.2 B. 365.3-370.7 C. 366.4-369.1 D. 364.371.9