A pediatrician is interested in the Canadian child development at age 4-5. She randomly selected 15...

A pediatrician is interested in the Canadian child development at age 4-5. She randomly selected 15 children and recorded their heights as follow: 91.9, 97.8,111.4, 122.3, 105.4, 95.0, 103.8, 99.6, 96.6, 119.3, 104.8, 101.7, 98.0, 88.2, 91.9 (unit: cm). Assume that the height of Canadian child follows a normal distribution.

(a) Calculate the mean and standard deviation of this data.

(b) Give a 90% confidence interval for the mean height of Canadian children at age 4-5.

(d) Give a 95% CI for the proportion of Canadian children at age 4-5 higher than 97cm. (e) Test if less than 50% Canadian children at age 4-5 are higher than 97cm with significant level 0.05.

Solutions

Expert Solution

orchestra answered 2 years ago

Next > < Previous

Related Solutions

pediatrician wants to determine the relation between childs height and head circumference. She randomly selects 5...

pediatrician wants to determine the relation between childs height and head circumference. She randomly selects 5 children and measures height and head. A normal probability suggest the residuals are normally distributed. Height_(inches)_-_x Head_Circumference_(inches)_-_y 27.5 17.5 27 17.5 25 16.9 25.5 17.1 27.75 17.6 Test whether a linear relation exists between height and head circumference at a=0.01 level of significance. What is the null and alternative hypothesis

) A sample of 15 graduating students, 15 females and 5 males, was randomly selected. Their...

) A sample of 15 graduating students, 15 females and 5 males, was randomly selected. Their GPAs were recorded, and the ranks of these GPAs for the pooled sample are presented below. Test the following hypothesis: H0: There is no difference in GPAs between the genders? Use the Mann-Whitney test. Males Females 11 1 12 2 3 13 14 4 6 5 15 7 8 9 10 Calculated test statistic: Critical value of the test statistic: Decision rule: Decision:

4) A pediatrician wishes to recruit 4 couples, each of whom is expecting their first child,...

4) A pediatrician wishes to recruit 4 couples, each of whom is expecting their first child, to participate in a new natural childbirth regimen. Let p = 0.2 represent the probability that a randomly selected couple agrees to participate. a) What is the probability that 15 couples refuse to participate before 4 are found who agree to participate? b) What is the probability that 12 couples refuse to participate before 4 are found who agree to participate? c) What is...

The following sample observations were randomly selected: 1 2 3 4 5 X: 15 8 9...

The following sample observations were randomly selected: 1 2 3 4 5 X: 15 8 9 12 8 Y: 25 22 16 16 14 a. Not available in Connect. b. Determine the regression equation. (Negative answer should be indicated by a minus sign. Do not round intermediate calculations. Round the final answers to 4 decimal places.) b =---- a =---- Y' = -----+----- X c. Determine the value of Y' when X is 26. (Do not round intermediate calculations....

Jason is a 5-year-old child who went with his mother to the pediatrician. The doctor measured...

Jason is a 5-year-old child who went with his mother to the pediatrician. The doctor measured Jason’s weight and length, and informed his mother that Jason has a BMI in the 95th percentile. This means that Jason has obesity. When asked to describe their family history, his mother provided the following information: 1) his mother had a pre-pregnancy BMI of 33 kg/m2; 2) his mother was diagnosed with gestational diabetes; and 3) Jason was born large-for-gestational-age. When asked to describe...

The following sample of observations was randomly selected. x: 5 3 6 3 4 4 6...

The following sample of observations was randomly selected. x: 5 3 6 3 4 4 6 8 y: 13 15 7 12 13 11 9 5 Determine the regression equation. Use Excel Regression. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.) Y=

5.A survey of 15 randomly selected employees from Bob’s factory was taken to find out how...

5.A survey of 15 randomly selected employees from Bob’s factory was taken to find out how many sick days they took due to colds and flu last year. Suppose Bob didn’t take a random sample. Suppose the employees in the sample were those who responded to an advertisement Bob put out to the whole company, looking for volunteers to participate in the survey. What kind of error would be made here? THERE IS ONLY ONE CORRECT ANSWER – CHECK YOUR...

The following sample observations were randomly selected: X) 6 5 4 6 10 Y) 4 ...

The following sample observations were randomly selected: X) 6 5 4 6 10 Y) 4 6 5 2 11 a.) Determine the 0.95 confidence interval for the mean predicted when x=9. [ , ] b.) Determine the 0.95 prediction interval for an individual predicted when x=9 [ , ]

A pediatrician randomly selected 50 six-month-old boys from her practice's database and recorded an average weight...

A pediatrician randomly selected 50 six-month-old boys from her practice's database and recorded an average weight of 15.6 pounds with a standard deviation of 0.45 pounds. She also recorded an average length of 25.7 inches with a standard deviation of 0.27 inches. (a) Find a 95% confidence interval for the average weight (in pounds) of all six-month-old boys. (Round your answers to two decimal places.)_____ lb to______ lb (b) Find a 99% confidence interval for the average length (in inches)...

How would I describe the development of handedness of a child at age 6 months to...

How would I describe the development of handedness of a child at age 6 months to when they enter kindergarten and the impact that culture and the child's environment have on the development of the child's handedness?

Subjects