Question

In: Math

For the following data values below, construct a 98% confidence interval if the sample mean is...

For the following data values below, construct a 98% confidence interval if the sample mean is known to be 9.808 and the population standard deviation is 5.013. (Round to the nearest thousandth) (Type your answer in using parentheses!Use a comma when inputing your answers! Do not type any unnecessary spaces! List your answers in ascending order!) for example: (0.45,0.78)

6.6, 2.2, 18.5, 7.0, 13.7, 5.4, 5.3, 5.9, 4.7, 14.5

2.0, 14.8, 8.1, 18.6, 4.5, 17.7, 15.9, 15.1, 8.6, 5.2

15.3, 5.6, 10.0, 8.2, 8.3, 9.9, 13.7, 8.5, 8.2, 7.9

17.2, 6.1, 13.7, 5.7, 6.0, 17.3, 4.2, 14.7, 15.2, 3.3

3.2, 9.1, 8.0, 18.9, 14.2, 5.1, 5.7, 16.4, 10.1, 6.4

Expert Solution

Solution :

Given that,

Point estimate = sample mean = = 9.808

Population standard deviation = = 5.013

Sample size = n =50

At 98% confidence level the z is ,l

= 1 - 98%

= 1 - 0.98 =0.02

/2 = 0.01

Z/2 = Z_{0.01= 2.326}

Margin of error = E = Z/2 * ( / $\sqrt$ n)

= 2.326 * (5.013 / $\sqrt$ 50)

= 1.65

At 98% confidence interval estimate of the population mean is,

- E < < + E

9.808 - 1.65 <   <9.808 + 1.65

8.158 <   < 11.458

( 8.158 ,  11.458 )

milcah answered 3 months ago

For the following data values below, construct a 90% confidence interval if the sample mean is...

For the following data values below, construct a 90% confidence interval if the sample mean is known to be 0.719 and the population standard deviation is 0.366. (Round to the nearest thousandth) (Type your answer in using parentheses!Use a comma when inputing your answers! Do not type any unnecessary spaces! List your answers in ascending order!) for example: (0.45,0.78) 0.56, 0.75, 0.10, 0.95, 1.25, 0.54, 0.88

1) For the following data values below, construct a 90% confidence interval if the sample mean...

1) For the following data values below, construct a 90% confidence interval if the sample mean is known to be 0.719 and the standard deviation is 0.366. (Round to the nearest thousandth) (Type your answer in using parentheses! Use a comma when inputing your answers! Do not type any unnecessary spaces! List your answers in ascending order!) for example: (0.45,0.78) 0.56, 0.75, 0.10, 0.95, 1.25, 0.54, 0.88 2) For the following data values below, construct a 98% confidence interval if...

What is the critical for a large sample confidence interval for the mean with 98% confidence...

What is the critical for a large sample confidence interval for the mean with 98% confidence level?

Given the data set below, construct a 95% confidence interval for the standard deviation. 98 71...

Given the data set below, construct a 95% confidence interval for the standard deviation. 98 71 124 116 118 131 102 93 95 99

1.) Forty individuals independently construct a 98 % confidence interval for the mean of a certain...

1.) Forty individuals independently construct a 98 % confidence interval for the mean of a certain population. What is the expected number of individuals who will obtain confidence intervals that actually contain the mean of thepopulation 2.)Forty percent of the employees in a large corporation are registered in the corporation’s fitness program. If 3500 employees are selected at random from this corporation, what is the probability between 1410 and 1445, inclusive, will be registered in the fitness program? (Round to...

2. a. Find a 98% confidence interval for the true mean of a population if a sample of ...

2. a. Find a 98% confidence interval for the true mean of a population if a sample of 52 results in a mean of 100. Assume the population standard deviation is 12. b. Assume now that the same results occurred, the population was normal, and the sample size was reduced to 10. c. Repeat problem 2b assuming that the population standard deviation was unknown, and “s” was 12.

Construct the 92% confidence interval for mean of following data by assuming that the data follow...

Construct the 92% confidence interval for mean of following data by assuming that the data follow normal distribution. You have to use 92% Z value. 132, 135, 149, 133, 119, 121, 128, 132, 119, 110, 118, 137, 140, 139, 107, 116, 122, 124, 115, 103

Use the following pairs of observations to construct an 80% and a 98% confidence interval for...

Use the following pairs of observations to construct an 80% and a 98% confidence interval for beta 1β1. x 1 2 3 0 6 4 5 y 1 1 3 2 5 2 6 The 80% confidence interval is left parenthesis nothing comma nothing right parenthesis,. (Round to two decimal places as needed.)

Construct a 98% confidence interval to estimate the population mean with x overbar equals 57 and...

Construct a 98% confidence interval to estimate the population mean with x overbar equals 57 and sigma equals 11 for the following sample sizes. a) n equals 38 b) n equals 41 c) n equals 66

Construct a 98% confidence interval to estimate the population mean with x =59 and s=13 for...

Construct a 98% confidence interval to estimate the population mean with x =59 and s=13 for the following sample sizes. a) n = 33 b) n = 42 c) n = 60 a) With 98% confidence, when n=33, the population mean is between the lower limit of ? and the upper limit of ?. (Round to two decimal places as needed.)