12. The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 14 s visits to full-service restaurant chains (Consumer Reports website). One of the variablesi the study is meal price, the average amount paid per person for dinner and drinks, min the tip. Suppose a reporter for the Sun Coast Times thought that it would be of interest t her readers to conduct a similar study for restaurants located on the Grand Strand sectine in Myrtle Beach, South Carolina. The reporter selected a sample of eight seafood resta rants, eight Italian restaurants, and eight steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled. Use a = 05 to test whether there is a significant difference among the mean meal price for the three types of restaurants. %3D Italian Seafood Steakhouse $12 13 15 17 18 20 $16 18 17 26 23 15 $24 19 23 25 21 22 17 19 27 31 24 18

A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Texas and Indiana. Due to recent trends in the childcare industry, the firm suspects that the mean annual income of childcare workers in Texas is less than the mean annual income of childcare workers in Indiana. To see if this is true, the firm selected a random sample of  20 childcare workers from Texas and an independent random sample of  20  childcare workers from Indiana and asked them to report their mean annual income. The data obtained were as follows.   Annual income in dollars Texas 37093 ,  33960 ,  35692 ,  29528 ,  30978 ,  35504 ,  26961 ,  28380 ,  37537 ,  25341 ,  34837 ,  36489 ,  33633 ,  41229 ,  43577 ,  27644 ,  43364 ,  28415 ,  28919 ,  34096 Indiana 33672 ,  46452 ,  35900 ,  28486 ,  46528 ,  34252 ,  40952 ,  42164 ,  36298 ,  38828 ,  32690 ,  29157 ,  42770 ,  35527 ,  40804 ,…

A psychologist has designed an index to measure the social perspectives of elementary school children. The index is based on ratings of a child’s responses to questions about a set of photographs showing different social situations.  The following are the indices measured on a random sample of 16 children attending elementary school in a particular district. 48, 75, 69, 58, 60, 68, 59, 66, 71, 52, 49, 60, 54, 55, 70, 57 For the data, the mean index is 60.69 and the standard deviation is 8.26. Perform a statistical test to determine if the population mean index is greater than 50. H0:  HA:  a). Test Statistic = b). P-value = c). Rejection region= d). Decision in the context of the problem=

A lecturer would like to analyse whether there is a relationship between the country of origin of international students and the number of hours per day they spent on social media. To perform the study sbove the lecturer sent an email to all the students renrolled in his class and collected the responses from whoever replied to hid email and used it as his sample data. is the data collected in this manner baised? Explain.