MTH review for Final HW #10

Please help! Thank you in advance!

instructions: Read each question carefully to see how to best approach the data given. Final work and answers by hand on paper/digital. You may use excel to help with organization(eg. Sorting data in ascending order and helping with calculations)

Show all work or provide an explantion of the excel/calculator formulas used.

Round all answers with more than 3 decimals to 3 decimals.

Q 1:

The data on the following page is the age of actors when they won an Oscar. 1) Group the data into 11 classes starting with 25 2) Create a frequency histogram from your grouped data 3)Find the five number summary of the data 4)Find the IQR and any outliers. 5)Make a boxplot 6)Find the mean and standard deviation from the grouped data 7)Compare the mean, median, and mode to comment on the shape of the distribution.\fThe Data on the next page is relating father's and daughter's height (in inches). 1 )State the explanatory and dependent variable 2)Create a scatterplot for the data 3)Find the mean and Standard Deviation of each variable 4)Find the correlation coeffectent and check whether it is significant or not. 5)Find the equation of the least squares regression line. 6)Predict the height of a daughter who's father is 65in tall\fFor the data on the following page Temperatures in january 2020 are given in degrees F 1) Group the data using the classes I provided 2) Create a histogram 3)Calculate the mean and standard deviation using the original data not the grouped data. 4)Suppose we wish to construct a 99% confidence interval for the mean temperature in NYC in January. 5)Construct the interval and interpret its meaning. 6) Suppose the mean temperature in 2021 january was 34F and standard deviation is unchanged from 2020, Can we conclude the mean temperature in january NYC has changed. a) State the null and alternate hypothesis b)Is it one tail or two tail the test c)Which test statistic is to be used? Z or T? d) Compute the test statistic e)Test the hypothesis at the alpha=0.05 level of significance. f) State the conclusion, if you can reject the null hypothesis also state the p-value.In 2020 the percentage of people who believed esports should be part of the NCAA was 21%. Suppose we wish to know if that percentage as increased in 2021. We take a simple random sample of 250 people record that 65 of them believe that esports should be part of the NCAA. Can we conclude that the percentage has increased? Test the hypothesis at the alpha=.05 level of significance 1) State your null and alternate hypothesis 2)verify the distrubtion of p-hat is normal 3)Calculate the test statistic 4)Conclusion 5)find the p-value. 6)would we have the same conclusion at the alpha=01 level of significance?The following data is from a survey of randomly selected people. Their car preferences and gender are recorded Sedan Coupe SUV Pickup Minivan Male 126 162 98 201 Female 87 73 223 101 16 Other 10 4 24 2 0 a) How many people were surveyed? b) What is the probability that a randomly selected individual was male? c) What is the probability that a randomly selected person is female and prefers SUV's? d) What is the probability that a randomly selected person was male or preferred pickups e) What is the probability that a randomly selected female preferred sedans? f) What is the probability that a randomly selected person who preferrs pickups was male