Question (a) Consider a random sample of the following data: 254, 261, 250, 258, 253, 257....

Question
(a) Consider a random sample of the following data: 254, 261, 250, 258, 253, 257.
Calculate the unbiased estimator of the population variance.

(b) Suppose the GPA of all students enrolled in a particular course can be modelled by a
certain distribution with a mean of 3.4 and variance 0.3. Compute the probability that the
mean GPA of a random sample of 40 students selected from this course will be:

(i) lower than 3.2
(ii) between 3.3 and 3.6

(c) Suppose you throw a die 600 times. Apply a suitable technique to compute the
approximate probability of obtaining between 90 and 110 fours.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Question (a) Consider a random sample of the following data: 254, 261, 250, 258, 253, 257....

Question (a) Consider a random sample of the following data: 254, 261, 250, 258, 253, 257. Calculate the unbiased estimator of the population variance. (1 mark) (b) Suppose the GPA of all students enrolled in a particular course can be modelled by a certain distribution with a mean of 3.4 and variance 0.3. Compute the probability that the mean GPA of a random sample of 40 students selected from this course will be: (i) lower than 3.2 (ii) between 3.3...

In one of the studies, it was found that, in a random sample of 261 married...

In one of the studies, it was found that, in a random sample of 261 married persons, 135 were smokers while in a sample of 239 non-married persons there were 131 smokers. a. Find a 90% confidence interval for the true difference in proportion of smokers among the married and non-married populations. b. Based on the above interval, can one conclude that there is a significant difference between the proportions of smokers in the two populations? Justify your answer c....

In a random sample of 257 adult Orcas in the wild, there were 159 whose total...

In a random sample of 257 adult Orcas in the wild, there were 159 whose total body length was 28 feet or longer. Create a 98% confidence interval for the population proportion of adult Orcas in the wild who total body length is 28 feet or longer. Enter the lower and upper bounds for the interval in the following boxes, respectively. You may answer using decimals rounded to four places or a percentage rounded to two. Make sure to use...

Ten years ago, a random sample of 257 dog owners was taken and it was found...

Ten years ago, a random sample of 257 dog owners was taken and it was found that 146 owned more than one dog. Recently, a random sample of 380 dog owners showed that 200 owned more than one dog. Do these data indicate that the proportion of dog owners owning more than one dog has decreased? Use a 5% level of significance. State the null and alternate hypotheses. Is the test left-tailed, right-tailed, or two- tailed? Identify the appropriate sampling...

A national survey of insurance offices was taken, resulting in a random sample of 253 companies....

A national survey of insurance offices was taken, resulting in a random sample of 253 companies. Of these 253 companies, 181 responded that they were going to purchase new software for their offices in the next year. Construct a 90% confidence interval to estimate the population proportion of insurance offices that intend to purchase new software during the next year.

A random sample of n1 = 261 people who live in a city were selected and...

A random sample of n1 = 261 people who live in a city were selected and 77 identified as a "dog person." A random sample of n2 = 101 people who live in a rural area were selected and 52 identified as a "dog person." Find the 95% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area...

USE THE FOLLOWING DIRECTION FOR 1A AND 1B: In 2010, a random sample of 250 dog...

USE THE FOLLOWING DIRECTION FOR 1A AND 1B: In 2010, a random sample of 250 dog owners was taken and it was found that 140 owned more than one dog. Recently, a random sample of 400 dog owners showed that 200 owned more than one dog. Do these data indicate that the proportion of dog owners owning more than one dog has decreased? Use a 5% level of significance, and p1= proportion of dog owners who owned more than one...

Consider the following data for two independent random samples taken from two normal populations. Sample 1...

Consider the following data for two independent random samples taken from two normal populations. Sample 1 11 6 13 7 9 8 Sample 2 8 7 9 4 5 9 (a) Compute the two sample means. Sample 1Sample 2 (b) Compute the two sample standard deviations. (Round your answers to two decimal places.) Sample 1Sample 2 (c) What is the point estimate of the difference between the two population means? (Use Sample 1 − Sample 2.) (d) What is the...

Consider the following data: and What is the sample regression equation?

Consider class data set to represent a simple random sample of the student. Construct the confidence...

Consider class data set to represent a simple random sample of the student. Construct the confidence intervals required and also write sample statistics calculated for each. a) Calculate the 9% t-confidence interval for the mean pulse of all the student B) Calculate the 95%confidence interval for the true proportion of all student who are registered Voter Reg Pulse Rate 64 75 74 65 72 72 60 66 60 69 89 64 71 50 80 80 62 85 60 65...

Subjects