Does grade level matter regarding having a drink of coffee before going to school? To get some insight relating to this question, Professor Jay randomly selected nm 1142 New York City high school freshmen. Of these, xm 803 said they had at least one cup of coffee before going to school. Professor Jay also randomly selected nf-1012 New York City high school seniors. Of these, xf- 760 said they had at least one cup of coffee before going to school. Suppose Pm is the true proportion of New York City high school freshmen who have a drink of coffee before going to school. Suppose py is the true proportion of New York City high school seniors who have a drink of coffee. before going to school. Pm and py are unknown and we will examine relations between them based upon Professor Jay's samples. Let pmhat be the sample proportion of high school freshmen who said they had at least one cup of coffee before going to school. Let pfhat be the sample proportion of high school seniors who said they had at least one cup of coffee before going to school. a)Calculate pmhat. b) We wish to construct a 95 % classical confidence interval for Pm What is the critical value multiplier star? c) Create a 95% classical confidence interval for Pm? (I d) How long is the 95% classical confidence interval for Pm?[ e) In terms of Pmp and nmn, give the formula for the standard deviation of the distribution of the sample proportion pmhat.(R code) sqrt(p(1-p)/n) On*p*(1+p) Ⓒp*(1-0)/n Osqrt(np (1-p)) f) Calculate pfhat. 9) Calculate pmhat pfhat. h) Based on this data, calculate a 95% classical confidence interval for Pm P.( 1. How long is the 95% classical confidence interval for Pm py calculated above 3) Copy your R script for the above into the text box here. Enter a number

A​ 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left​ hand, and then she asked the therapists to identify the selected hand by placing their hand just under her hand without seeing it and without touching it. A​ 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left​ hand, and then she asked the therapists to identify the selected hand by placing their hand just under her hand without seeing it and without touching it. Among  257  ​trials, the touch therapists were correct  105  times. Use a  0.01  significance level to test the claim that touch therapists use a method equivalent to random guesses. Do the results suggest that touch therapists are​ effective?

The manager of a local record store is interested in the effectiveness of an advertisingcampaign on sales. They randomly select 10 popular CDs (all in the Billboard top 100),and place an ad in the local school newspaper saying that the store has these (and more)in stock. They measure the sales of these 10 CDs for 1 week prior to the ad, and then for1 week after the ad. The number of CDs sold each week is presented below. Was there anincrease in the number of CDs sold after the ad? Conduct a 6-step hypothesis test.CD Numbersold beforeadNumbersold after adA 25 32B 18 24C 3 7D 42 40E 16 19F 20 25G 23 23H 32 35I 60 65J 40 43   Please solve using 6 steps hypothesis and solve in excel

You are running an online business that requires boxes and bubble wrap for postage purpose. Lets say you got the boxes and bubble wrap from four different suppliers, each of the suppliers represent 25% of your supply. Some of the boxes and bubble wrap you received are poor in quality and not meeting the specification. You would like to investigate which suppliers that supply good items and which are not. Based on the table below, generate randomly value Al to A4 and B1 to B4 from 0 to 1 in decimal form. Then, based on the values generated, determine what is the value of A’l to A'4 and B’1 to B'4. Table 1: Condition of box and bubble wrap for Company – Company 4 Supplier Percentage of supply Item A: BOX Item B: BUBBLE WRAP Good Not Good Good Not Good (%) Company 1 25 A1 A’ı B1 B'1 Company 2 25 A2 A'2 B2 B'2 Company 3 Company 4 25 Аз A'3 Вз B'3 25 A4 A'4 B4 B'4 i. Based on the data from Table 1, suppose that a box is in a poor-quality condition, calculate the probability it comes from…

A scientist is interested in whether stretching before running 5 kilometers will improve a runner’s time. The scientist decides that an experimental study is the best method to use to answer the question. One group of runners will run a 5-kilometer race without stretching, and a second group of runners will follow a specific stretching routine before running the race. The finishing times will be recorded, along with the group type for each runner. Assuming this group is representative of all adults who followed a specific stretching routine before running, use a normal distribution to estimate the probability that a randomly-selected adult could complete the race in fewer than 20 minutes after stretching. **THIS IS THE FULL QUESTION AND THIS IS NOT GRADED ***

The table shows the leading causes of death in a certain country in a recent year. The population of the country was 311311 million. If you lived in a typical city of​ 500,000, how many people would you expect to die of cancercancer each​ year?             Cause Deaths   Cause Deaths   Heart disease 596 comma 700596,700   ​ Alzheimer's disease 84 comma 90084,900   Cancer 575 comma 300575,300   Diabetes 73 comma 40073,400   Chronic respiratory diseases 143 comma 100143,100   ​ Pneumonia/Influenza 53 comma 40053,400   Stroke 128 comma 600128,600   Kidney disease 45 comma 30045,300   Accidents 122 comma 500122,500   Suicide 38 comma 60038,600   About people would be expected to die of cancer each year. ​(Type a whole number. Round to the nearest person as​ needed.)

An experiment was conducted to test whether classical music helps with mathematical performance. To study this, participants (n=9) were given an algebra test. Half of the sample completed the test in a room with classical music playing while the other half completed it in a room with no sounds at all. After a brief rest, the two groups switched rooms and completed a slightly modified version of the algebra test. Thus, all participants experienced both conditions. The scores for the two conditions were then compared, showing that listening to classical music did help mathematical performance by an average of MD =2 points with SS =32. a. Calculate the estimated standard error.   b. Compute the t statistic and state the conclusion of these findings.

A researcher wants to determine whether adolescents spend more time in a day around friends than adults do.  He gathers a sample of n =10 adolescents (aged 12-17) and a sample of n =6 adults (aged 25-32).  The researcher finds that the average time spent around friends for adolescents is M1= 3 hours with a SS1 of 44.  He also finds that the average time spent around friends for adults is M2= 2 hours with a SS2 of 40. a. Do you use a one- or two-tailed test? What is the critical/cut-off t value with an alpha level of α = .01?  b. What is the variance?  c. What is the estimated standard error?  d. What is the value of the t statistic?  e. Do we reject or fail to reject the null hypothesis (α = .01)? Why?  f. Calculate and report the variance explained ( r2)

A person picks a number between 1 and 285336. The random variable Z assigns the 0 to an even number and 1 to an odd number. What number is assigned to 267927?

For Americans using library services, the American Library Association (ALA) claims that 67% borrow books. A library director feels that this is not true, so he randomly selects 101 borrowers and finds that 78 borrowed books. Can he show that the ALA claim is incorrect? Use α= 0.02  Use a TI-83 Plus/TI-84 Plus