Question

Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of 10 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: 2.4 2.2 2.2 2.6 2.2 2 2.5 2.8 2 2.4

What is a point estimate for the population mean length of time. (Round answer to 4 decimal places)

Which distribution should you use for this problem?

normal distribution

t-distribution

What must be true in order to construct a confidence interval in this situation?

The population must be approximately normal and/or the sample size must be at greater than 30

The population mean must be known The population standard deviation must be known

The sample size must be greater than 30

The margin of error is 0.18485820181011. Construct a 95% confidence interval for the population mean length of time. Enter your answer as an open-interval (i.e., parentheses) Round upper and lower bounds to two decimal places

What does it mean to be "95% confident" in this problem?

There is a 95% chance that the confidence interval contains the population mean

95% of all simple random samples of size 10 from this population will result in confidence intervals that contain the population mean

The confidence interval contains 95% of all samples

Suppose that the company releases a statement that the mean time for all patients is 2 hours.

Is this possible?

Yes

No Is it likely?

Yes

No

The data is provided as:

 Data 2.4 2.2 2.2 2.6 2.2 2 2.5 2.8 2 2.4 Count 10 Mean 2.33 St. Dev 0.2584

Point estimate for the population mean length of time:

2.3300

Which distribution should you use for this problem?

t-distribution

What must be true in order to construct a confidence interval in this situation?

The population must be approximately normal and/or the sample size must be at greater than 30

The margin of error is 0.18485820181011. Construct a 95% confidence interval for the population mean length of time.

C.I = (2.33-0.18485820181011, 2.33+0.18485820181011)

= (2.15,2.51)

What does it mean to be "95% confident" in this problem?

95% of all simple random samples of size 10 from this population will result in confidence intervals that contain the population mean

Suppose that the company releases a statement that the mean time for all patients is 2 hours.

Is this possible?

Yes

Is it likely?

No

Please do upvote if you are satisfied! Let me know in the comments if anything is not clear. I will reply ASAP!

Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
• Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You...

Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of 13 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: Hours 2.5 2.6 2.9 3 2.4 3 2.7 2.7 2.1 2.8 2.9 2.2 a) What is a point estimate for the population mean length of time. (Round answer to 4 decimal places) b) What must be true in order to...

• E is yes or no option!!! Thank you Suppose you are a researcher in a hospital....

E is yes or no option!!! Thank you Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of 10 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: Hours 3 2.6 2.4 2.8 2.4 2 2 2.4 2.2 2.9 a) What is a point estimate for the population mean length of time. (Round answer to 4 decimal places) b)What must...

• Is this possible? yes or no Is it likely? yes or no Suppose you are a...

Is this possible? yes or no Is it likely? yes or no Suppose you are a researcher in a hospital. You are experimenting with a new random sample of 13 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: tranquilizer. You collect data from a Hours 2.2 2.7 2.1 2.6 2.6 2.3 2.4 2 2.4 2.1 2.9 2.2 2.5 a) What is a point estimate for the population mean length of time. (Round...

• Suppose that you give the SAT to a random sample of 1000 people from a large...

Suppose that you give the SAT to a random sample of 1000 people from a large population in which the scores have mean 1400 and it is known that the population standard deviation is 200. It is known that the distribution is approximately normal. (a) Construct a 95% confidence interval for the unknown mean of the SAT test. (b) Construct a 90% confidence interval for the unknown mean of the SAT test. (c) Construct a 92% confidence interval for the...

• 7.5 Suppose you draw a random sample of size n from a normal distribution with unknown...

7.5 Suppose you draw a random sample of size n from a normal distribution with unknown mean u and known standard deviation o and construct a 95% confidence interval for u. If you want to halve the margin of error, how much larger would the sample size have to be?

• A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are si...

A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval for the mean of the before-after differences. Does hypnotism appear to be effective in reducing pain? Before 6.8 11.5 After 8.4 6.9 6.4 10.4 2.6 7.3 Construct a 95%...

• Use the standard nomal distribution or the distribution to construct a 95% confidence interval for the...

Use the standard nomal distribution or the distribution to construct a 95% confidence interval for the population mean. Justily your decisioni neither distribution can be used, explain why. Interpret the results In a random sample of 41 people, the mean body mass index (BMI) was 27.8 and the standard deviation was 6.11 Which distribution should be used to construct the confidence interval? Choose the correct answer below. O A Use a distribution because the sample is random, na 30, and...

• RIGHT CLICK ON THE IMAGE AND SELECT "OPEN IMAGE IN A NEW TAB" FOR A LARGER...

RIGHT CLICK ON THE IMAGE AND SELECT "OPEN IMAGE IN A NEW TAB" FOR A LARGER CLEARER IMAGE. A nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose for a random sample of 1048 people age 15 or older, the mean amount of time spent eating or drinking per day is 1.29 hours with a standard deviation of 0.54 hour. Complete parts (a) through (d) below. (a) A histogram of time spent eating and drinking...

• Use the standard normal distribution or the t-distribution to construct the indicated confidence interval for the...

Use the standard normal distribution or the t-distribution to construct the indicated confidence interval for the population mean of each data set. Justify your decision. If neither distribution can be used, explain why. Interpret the results. (a) In a random sample of 36 patients, the mean waiting time at a dentistâ€™s office was 24 minutes and the standard deviation was 7.5 minutes. Construct a 90% confidence interval for the population mean. (b) In a random sample of 25 cereal boxes,...

• At Community Hospital, the burn center is experimenting with a new plasma compress treatment. A random...

At Community Hospital, the burn center is experimenting with a new plasma compress treatment. A random sample of n1-332 patients with minor burns received the plasma compress treatment. Of these patients, it was found that 250 had no visible scars after treatment. Another random sample of n2 428 patients with minor burns received no plasma compress treatment. For this group, it was found that 87 had no visible scars after treatment. Let p1 be the population proportion of all patients...