A sample of 130 working students at a large university was asked how many hours they...

A sample of 130 working students at a large university was asked how many hours they work in a typical week. A 95% z confidence interval for the average number of hours a week a typical student employee works was (13.5, 15.3)

(a)Identify each of the following interpretations as TRUE or FALSE with a brief explanation for each.

i. 95% of sampled student workers work between 13.5 and 15.3 hours in a typical week.

ii. We are 95% confident that the average numbers of hours a students employee works in a typical week is between 13.5 and 15.3.

iii. We can be confident that about 95% of all student workers work between 13.5 and 15.3 hours in a typical week.

iv. This interval was constructed in such a way that around 95% of all intervals similarly constructed would capture the population average number of hours a week a typical student employee works

(b)Calculate the sample mean and sample standard deviation that were used to build the confidence interval. Show your work.

Solutions

Expert Solution

1.96 in b) corresponds to the Z value for 95% confidence interval.

orchestra answered 11 months ago

Next > < Previous

Related Solutions

1. A university asked 10 graduate students how many hours of homework they were planning to...

1. A university asked 10 graduate students how many hours of homework they were planning to do that week. Here are their responses: 14 13 15 21 19 24 25 28 25 31 A. What's the mean number of hours of homework done by the students per week? What is the median? Why are these figures different? B. What is the range of data? C. Is the data skewed? If so, in what direction? How do you know? Please show...

A campus researcher asked a random sample of 8 students about how many hours they work...

A campus researcher asked a random sample of 8 students about how many hours they work per week on average and their grade in their last math course. She then made a table for hours worked per week ? and their last math class score ?. X 11 13 12 22 8 16 12 21 Y 97 76 80 78 87 83 81 77 ∑? = 115, ∑? = 659, ∑(??) = 9344, ∑?2 = 1823, ∑?2 = 54,617 a....

A class survey in a large class for first‑year college students asked, “About how many hours...

A class survey in a large class for first‑year college students asked, “About how many hours do you study during a typical week?” The mean response of the 463 students was ?¯=13.7 hours. Suppose that we know that the study time follows a Normal distribution with standard deviation ?=7.4 hours in the population of all first‑year students at this university. Regard these students as an SRS from the population of all first‑year students at this university. Does the study give...

A class survey in a large class for first-year college students asked, "About how many hours...

A class survey in a large class for first-year college students asked, "About how many hours do you study in a typical week?". The mean response of the 427 students was x¯¯¯ = 12 hours. Suppose that we know that the study time follows a Normal distribution with standard deviation 7 hours in the population of all first-year students at this university. What is the 99% confidence interval (±0.001) for the population mean? Confidence interval is from ____to_____ hours.

A sample of 20 Ohio University students were randomly selected and asked, “How many phone calls...

A sample of 20 Ohio University students were randomly selected and asked, “How many phone calls did you receive last night?” The numbers below are their responses. 1 2 0 2 4 2 3 4 5 3 0 4 5 6 3 10 7 6 7 11 Compute the IQR of the distribution. Answers: a. 6 b. 3 c. 4 d. 2

A sample of 20 Ohio University students were randomly selected and asked, “How many phone calls...

A sample of 20 Ohio University students were randomly selected and asked, “How many phone calls did you receive last night?” The numbers below are their responses. 1 2 0 2 4 2 3 4 0 5 3 4 5 6 3 10 7 6 7 11 Compute the standard deviation of the distribution. Answers: a. 6.4 b. 2.51 c. 3.16 d. 2.97

In a survey, students are asked how many hours they in a typical week. A five...

In a survey, students are asked how many hours they in a typical week. A five number summary of the responses is 4,5,8,12,20. Which interval describes the number of hours spent studying in a typical week for about 25% of the students sampled?

In a class survey, students are asked how many hours they sleep per night. In the...

In a class survey, students are asked how many hours they sleep per night. In the random sample of 18 students, the (sample) mean is 6.8 hours with a (sample) standard deviation of 1.9 hours. We wish to know if this shows that the class’s student population on average has not gotten at least the recommended 8 hours of sleep at the α = .1 level. The distribution of sleep for this population follows a normal distribution. c) Please use...

A university system enrolling thousands of students needs to determine how many credit hours, on the...

A university system enrolling thousands of students needs to determine how many credit hours, on the average, each student takes per quarter. From previous studies, the population standard deviation is known to be 2.3 credit hours per quarter. Suppose the administration wanted to estimate the mean to within 0.1 hours with 95% confidence. How large a sample would they need to take?

A survey of 200 students is selected randomly on a large university campus They are asked...

A survey of 200 students is selected randomly on a large university campus They are asked if they use a laptop in class to take notes. The result of the survey is that 70 of the 200 students use laptops to take notes in class. What is the value of the sample proportion? (0.5 pts) What is the standard error of the sampling proportion? (0.5 pts) Construct an approximate 95% confidence interval for the true proportion by going 2 standard...

Subjects