Suppose one such researcher wants to investigate the relationship between lead levels in soil (micrograms/dL) and...

Suppose one such researcher wants to investigate the relationship between lead levels in soil (micrograms/dL) and BMI (kg/m²). The following table represents a SRS of households with the corresponding exterior lead levels and BMI of a randomly sampled child in the home.

Leal levels (µg/dL)	BMI (kg/m²)
13.6	19.7
14.3	19.9
9.7	20.1
9.4	22.1
11.4	19.8
10.9	21.6

A) Write out the null and alternative hypotheses for a formal test of significance testing the correlation between the two variables.

B) Calculate a t statistic and interpret your p value and results.

Expert Solution

first, we have to find the correlation between Lead Level and BMI

a)

we will test if there is a correlation between the two variable or not

b) we will conduct the test at 0.05 significance level.

orchestra answered 2 years ago

Suppose a a medical researcher claims that µ, the mean concentration of lead (in mcg/g, micrograms...

Suppose a a medical researcher claims that µ, the mean concentration of lead (in mcg/g, micrograms of lead per gram of medicine)is less than 16 mcg/g. Express in symbolic form the null and alternative hypotheses needed to test the researcher's claim. H0 : µ ≥ 16 mcg/g HA : µ < 16 mcg/g H0 : µ = 16 mcg/g HA : µ < 16 mcg/g H0 : µ = 16 mcg/g HA : µ ≠ 16 mcg/g H0 : µ...

A researcher wants to investigate the usefulness of hypnotism for reducing levels of anxiety in individuals...

A researcher wants to investigate the usefulness of hypnotism for reducing levels of anxiety in individuals experiencing stress. He identifies 30 people at random from a group of 100 who have "high stress" jobs. The 30 people are divided into two separate groups. One group of 15 receive the hypnotism. The other group of 15 acts as the control group - they receive no hypnotism. The subjects in each group are then given an anxiety inventory. The results are in...

A researcher wants to investigate the relationship between self-regulation and GPA. She randomly selects 200 undergraduate...

A researcher wants to investigate the relationship between self-regulation and GPA. She randomly selects 200 undergraduate students and asks them to complete a scale measuring self-regulation (Self-control Schedule - SCS) and obtains their GPA from university administrative records (with their consent). The mean GPA is 2.9 with a standard deviation of 1.15. The mean for SCS is 22 with a standard deviation of 24. The correlation between the SCS and GPA is 0.40. r = 0.40 MEAN Self-regulation (SCS)...

Toxic levels of lead are 5 ug/dL in the blood of children and 10 ug/dL in...

Toxic levels of lead are 5 ug/dL in the blood of children and 10 ug/dL in the blood of adults. If the lead levels were measured at 1.5% m/v and a child with 2.5 L of blood drank 1 L of that water, would they be at risk of lead toxicity? Justify your answer with calculations.

4. A statistical researcher wishes to investigate the relationship between a student’s study time and their...

4. A statistical researcher wishes to investigate the relationship between a student’s study time and their ultimate exam grade for that exam. The following data is determined: X=study time(hours) 4 7 8 9 12 Y=exam grade (1 to 25 scale) 11 16 14 22 17 Ex=40 Ex2=354 and Exy=670 Ey=80 Ey2=1346 Sketch the scatter diagram. Does the trend appear to be positive or negative? given that E(x-xbar)2=34, Please use that comment to help determine the sample standard deviation for the...

A researcher wants to determine if there is a linear relationship between height and weight. The...

A researcher wants to determine if there is a linear relationship between height and weight. The following table represents the data collected. Display the data in a scatter plot on your calculator, draw a quick sketch below. Then find the linear regression and put the line of best fit on the sketch. Then state the value for the correlation coefficient and determine if this is a positive correlation or no correlation using the table in the back of the book....

Question 4 A researcher wants to know the relationship between murder and robbery. The researcher recorded...

Question 4 A researcher wants to know the relationship between murder and robbery. The researcher recorded the number of murders and robberies per 100,000 population for a random selection of cities. Help the researcher to find the relationship between the two variables. Murders, x 2.4 2.7 5.6 2.6 2.1 3.3 6.6 5.7 Robberies, y 25 14 151 91 80 49 173 96 a. Calculate the correlation coefficient, R. Interpret the calculated value of R. b. Briefly comment on...

A researcher wants to determine the relationship between the typing speed of administrative assistants at a...

A researcher wants to determine the relationship between the typing speed of administrative assistants at a major university is related to the time that it takes for the admin assistant to learn to use a new software program and may be used to predict learning time. Data are gathered from 12 departments at the university. Dept Typing speed (words per minute) Learning time (hours) A 48 7 B 74 4 C 52 8 D 79 3.5 E 83 2 F...

A researcher wants to determine whether there is a relationship between age and mode of shopping....

A researcher wants to determine whether there is a relationship between age and mode of shopping. In a random sample of 18- to 21-year-olds, 140 of 185 people shopped online more often than in stores. In a random sample of 40- to 43-year-olds, 90 of 155 shops online more often than in stores. What is the margin of error for a 95% confidence interval for the difference between the proportions of shoppers in these age groups who shop online more...

You are a researcher who wants to know if there is a relationship between variable Y...

You are a researcher who wants to know if there is a relationship between variable Y and variable X. You hypothesize that there will be a strong positive relationship between variable Y GPA and Variable X hours of sleep. After one semester, you select five students at random out of 200 students who have taken a survey and found that they do not get more than 5 hours of sleep per night. You select five more students at random from...

Question