A data set about speed dating includes​ "like" ratings of male dates made by the female dates. The summary statistics are n=198​, x equals=5.88​, sequals=1.94 Use a 0.05 significance level to test the claim that the population mean of such ratings is less than 6.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. ---------- Can you focus on how to determine the P-value?   If you use a formula please use actual numbers.  My professor states to use technology.  I have a ti84- can you show images on how to do this using this calculator?   thank you

According to Facebook, the mean number of community pages, groups and events that users are connected to is 80. A random sample of 64 Facebook users showed a mean of 86 connections to community pages, groups, and events. The sample standard deviation is 48. Test at a 5% significance whether the population mean number of connections to community pages, groups and events is greater than 80, stating the null and alternative hypothesis. Show your work.

A data set includes data from student evaluations of courses. The summary statistics are nequals=8585​, x overbarxequals=3.423.42​, sequals=0.540.54. Use a 0.010.01 significance level to test the claim that the population of student course evaluations has a mean equal to 3.503.50. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

The accompanying dala gives the results of a survey on the number of hours spent online per week on a certain social networking website. Determine if the mean number of hours spent online per week is the same for males as it is for females. Assume that the population variances are unequal Click the icon to view the social media survey data. Is there sufficient evidence at the 0.05 level of significance that the mean number of hours spent online per week is the same for males as it is for females? Determine the null hypothesis, Ho, and the alternative hypothesis, H₁. Let females be population 1 and males be population 2. Survey data Ho H₁ (Type integers or decimals. Do not round.) Gender Female Hours online/week Gender Hours online/week D 4 Male Female 11 Male Female 9 Male Female 8 Male Female 7 Male Female 13 Male Female 2 Male Female 6 Male Female 2 Male Female 6 Male Female 7 Make Female 3 Male Female Female Female Female Female Female Female Female 46021337 Mole 0653T50478145 8…