Question

In: Statistics and Probability

The daily intakes of milk (in ounces) for ten randomly selected children were: 23.3 28.4 10.5...

The daily intakes of milk (in ounces) for ten randomly selected children were:

23.3 28.4 10.5 16.4 26.4

18.1 20.4 17.3 27.4 13.2

Find a 98% confidence interval for the population mean μ.

Solutions

Expert Solution

The formula for calculating the confidence interval for true mean of population is given by:

We have given a random sample of childrens in take of milk (in ounces) and we have to calculate the sample mean and sample standard devaition for the sample.

Critical value: For 98% confidence,

So the 98% confidence interval for the true mean daily intake of milk for children is calculated as , i.e.,

orchestra answered 1 year ago

Next > < Previous

Related Solutions

The results for daily intakes of milk (in ounces) for ten randomly selected people were xˉ=18.23...

The results for daily intakes of milk (in ounces) for ten randomly selected people were xˉ=18.23 and s=6.11. Find a 99% confidence interval for the population standard deviation σ. Assume that the distribution of ounces of milk intake daily is normally distributed. What is the confidence interval? lower limit =Incorrect answer: 3.774 and the upper limit = Incorrect answer: 13.916

The daily intakes of milk (in ounces) for ten randomly selected people were: 26.0 13.0 13.5 ...

The daily intakes of milk (in ounces) for ten randomly selected people were: 26.0 13.0 13.5 14.8 19.1 13.6 21.6 30.8 15.8 14.1 Find a 99% confidence interval for the population variance. Assume that the distribution of ounces of milk intake daily is normally distributed. What is the confidence interval? lower limit =Incorrect answer: and the upper limit =Incorrect answer:

1.In a study, 1,319 children at the age of 12 were randomly selected to be questioned...

1.In a study, 1,319 children at the age of 12 were randomly selected to be questioned on the prevalence of symptoms of severe cold. A second sample of 1,319 children at age 14 were random selected to be questioned on the prevalence of symptoms of severe cold. Among the 12 year olds, 356 children were reported to having severe cold symptoms in the past 12 months, while among the 14 year olds, 468 reported to having severe cold symptoms in...

Ten chickens, randomly selected, were treated weekly with a natural growth hormone. A certain quantity of...

Ten chickens, randomly selected, were treated weekly with a natural growth hormone. A certain quantity of the hormone (in grammes) was dissolved in 15 litres of drinking water. The weight of chickens were recorded after two weeks and the results are shown below. feed cage # A B C D E F G H I J K L M Growth hormone (gm) 1 2 3 4 5 6 7 8 9 10 11 12 13 Weight (kg) 4.2 6.8 4.52...

The television habits of 30 randomly selected children were observed. The sample mean of time watching...

The television habits of 30 randomly selected children were observed. The sample mean of time watching TV was found to be 48.2 hours per week, with a standard deviation of 12.4 hours per week. Test the claim that the children on average spend more than 47 hours per week watching TV. sig. level .05

The weight of a product is normally distributed with a mean 10 ounces. A randomly selected...

The weight of a product is normally distributed with a mean 10 ounces. A randomly selected unit of this product weighs 13 ounces. The probability of a unit weighing more than 13 ounces is 0.0014. The production supervisor has lost files containing various pieces of information regarding this process including the standard deviation. Determine the value of standard deviation for this process.

Ten randomly selected mental institutions were examined to determine the effects of three different antipsychotic drugs...

Ten randomly selected mental institutions were examined to determine the effects of three different antipsychotic drugs on patients with the same type of symptoms. Each institution used one and only one of the three drugs exclusively for one year period. The proportion of treated patients in each institution who were discharged after one year of treatment were given below Drug1 0.1 0.12 0.08 0.14 Drug2 0.12 0.14 0.19 Drug3 0.2 0.25 0.15 a. Identify the outcome variable, factor, treatment, and...

Ten corvettes between 1 and 6 years old were randomly selected from the classified ads of...

Ten corvettes between 1 and 6 years old were randomly selected from the classified ads of The Arizona Republic. The following data were obtained, where x denotes age, in years, and y denotes price, in hundreds of dollars. X: 6 6 6 2 2 5 4 5 1 4 Y: 270 260 275 405 364 295 335 308 405 305 (A) Draw a scatter diagram (B) Find the Linear Correlation coefficient r. (C) Describe the shape, strength, and direction. (D)...

The price of a gallon of milk at 16 randomly selected Arizona stores is given below....

The price of a gallon of milk at 16 randomly selected Arizona stores is given below. Assume that milk prices are normally distributed. At the α=0.10α=0.10 level of significance, is there enough evidence to conclude that the mean price of a gallon of milk in Arizona is less than $3.00? (Round your results to three decimal places) Which would be correct hypotheses for this test? H0:μ=$3H0:μ=$3, H1:μ≠$3H1:μ≠$3 H0:μ=$3H0:μ=$3, H1:μ>$3H1:μ>$3 H0:μ≠$3H0:μ≠$3, H1:μ=$3H1:μ=$3 H0:μ<$3H0:μ<$3, H1:μ=$3H1:μ=$3 H0:μ=$3H0:μ=$3, H1:μ<$3H1:μ<$3 Gallon of Milk prices: 2.85...

The average amount of a beverage in randomly selected 16-ounce beverage can is 15.9 ounces with...

The average amount of a beverage in randomly selected 16-ounce beverage can is 15.9 ounces with a standard deviation of 0.5 ounces. If a random sample of forty-nine 16-ounce beverage cans is selected, what is the probability that mean of this sample is less than 16.1 ounces of beverage? (keep 4 decimal places)

Subjects