a. Compute the row totals, the column totals, and the grand total. b. Construct the corresponding table of expected frequencies. c. Compute the value of the chi-square statistic.
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- a) Are the body mass leanness and heat-loss ratecorrelated? Explain your reasoning. b) Calculate the standard error of the correlation coefficient; what does this value represent?Using the standard error how do you report (write) your results in a scientific paper?Workers at a private business was given a grade (A, B, C) based on their yearly performance. The data was recorded along with the department they belong. The results obtained using MINITAB are shown below: Expected counts are printed below observed counts A B C Total 12 8 7 Accounting (12.960) (7.830) (6.210) * 17 10 8 Sales (16.800) (10.150) (8.050) 35 19 11 8 Marketing (18.240) (**) (8.740) 38 Total 48 29 23 100 Chi-sq = 0.0711 + 0.0037 + 0.1005 + 0.0024 + 0.0022 + 0.003 + 0.0317 + 0.0000 +…A firm wants to know if there is any difference in percentage of sport category watched based on age. The data for consumer preference can be found in the table below. What are the expected frequencies of each consumer entry? TV Viewers: % of Viewers, by Major Sport Category Item Ages 18-34 Ages 35+ eSports 50.6 86.3 Mixed Martial Arts 30 80.7 MLS 27.3 79.7 High School Football n/a 79.4 Minor League Hockey 24.6 78.8 Soccer (non-USA) 23.9 78.7 NBA 23.9 77.5 Running n/a 76.9 Minor League Baseball 21.7 76.7 NHL 20.1 73.9 NFL 20.1 70.5 NASCAR 19.3 n/a MLB 19.1 68.1 Tennis 18.7 68.5 College Basketball 18.2 n/a IndyCar 18 62.7 College Football 17.9 62.5 Golf 11.9 32
- Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 488 randomly selected adults showed that 56% of them would erase all of their personal information online if they could. Find the value of the test statistic.Suppose a random sample of 1012 athletes from the college are asked what their major is. The table below shows the results of the survey. Outcome Observed Frequency Math/Science 186 Arts & Humanities 233 Business & Economics 311 Other 282 The distribution of majors at the college is shown in the second column of the table below. Fill in the expected frequencies. (Round to the nearest whole number). Frequencies of Majors at the College Outcome Expected Percent Expected Frequency Math/Science 23 Arts & Humanities 18 Business & Economics 31 Other 28Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 455 randomly selected adults showed that 61% of them would erase all of their personal information online if they could. Find the value of the test statistic.
- The U.S. National Center for Health Statistics complies birth statistics and publishes the results in vital statistics of the United States. The Center has historically believed that the mean of all newborns in the U.S. has been no less than 6.95 pounds. A sample of babies is selected so that the center can revise its belief. The following birth weights, in pounds are recorded: 7.4, 6.0, 8.6, 4.5, 2.0, 7.9, 4.0, 2.6, 5.9, 7.3, 7.3, 7.0, 6.3, 8.1, 7.1, 7.3, 6.6, 5.2, 9.8, 8.0, 10.9, 6.5, 3.8, 5.0, 8.0 a). At 5% level of significance, do these data provide sufficient evidence to refute the Center’s belief? Your conclusion must be in terms of the P-Value as well as setting up a Rejection Region. You must show all necessary work. b). Which statistical distribution should be applied in this situation and why? Explain carefully.it is assumed that a production process may produce some defective items. it is found that 12 item are defective out of 100 randomly selected items. What is the point estimate of the population production of non-defective item of this production process? a. 0.12 b. 0.92 c. 0.08 d. 0.88Suppose a random sample of 800 athletes from the college are asked what their major is. The table below shows the results of the survey. Observed Frequencies of Majors from the Sample Observed Frequency Outcome Math/Science 256 Arts & Humanities 190 Business & Economics 153 Other 201 The distribution of majors at the college is shown in the second column of the table below. Fill in the expected frequencies. (Round to the nearest whole number). Frequencies of Majors at the College Expected Percent Outcome Expected Frequency Math/Science 18 Arts & Humanities 29 Business & Economics 25
- Thirty randomly selected students were asked how many self- help books they have read in the last three years. Their responses are in the following frequency table.a. Identify the two different cases considered in discussing the sampling distribution of the mean sample.According to the M&M candy company, the expected proportion can be found in the table. In addition, the table contains the number of M&M's of each color that were found in a case of candy. At the 10% level, do the observed frequencies support the claim of M&M? M&M Observed and Proportions Brown Green Blue Orange Red Yellow Total 474 540 333 381 2734 Observed Frequencies 642 364 0.24 0.13 0.16 0.20 Expected Proportion 0.13 0.14 State the hypotheses. Ho: The observed frequencies are consistent with the distribution of colors for M&M candies. consistent with the distribution of colors for M&M candies. Ha: The observed frequencies are not Calculate the x² test statistic. Round expected values to two decimal places. Round x² to three decimal places. x² = Calculate the p-value. Round to four decimal places. p-value = State your decision. Since p-value?a, Select an answer Ho. Interpret the results. At the 10% signficance level there Select an answer enough evidence to conclude that the…