Question

In: Statistics and Probability

Identify the critical t. An independent random sample is selected from an approximately normal population with...

Identify the critical t. An independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t value ?∗t∗ for the given sample size and confidence level. Round critical t values to 4 decimal places.

Sample size, n Confidence level Degree of Freedom Critical value, ?∗t∗
12 90
15 95
26 98
28 99

Solutions

Expert Solution

The answer is:

Sample size, n Confidence level Degree of Freedom Critical value, ?∗
12 90 11 1.7959
15 95 14 2.1448
26 98 25 2.4851
28 99 27 2.7707

You can either use Excel or the following t table extract to find the critical value:

Excel Formulas:

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


Related Solutions

Identify the critical t. An independent random sample is selected from an approximately normal population with...
Identify the critical t. An independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t value ?∗t∗ for the given sample size and confidence level. Round critical t values to 4 decimal places. Sample size, n Confidence level Degree of Freedom Critical value, ?∗t∗ 4 90 6 95 26 98 18 99
Identify the critical t. An independent random sample is selected from an approximately normal population with...
Identify the critical t. An independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t value ?∗ for the given sample size and confidence level. Round critical t values to 4 decimal places. Sample size, | Confidence level | Degree of Freedom | Critical value, ?∗ 12 90 11 ??? 9 95 8    ??? 8 98 7 ??? 3 99 2 ??? Help Entering Answers
An independent random sample is selected from an approximately normal population with an unknown standard deviation....
An independent random sample is selected from an approximately normal population with an unknown standard deviation. Find the p-value for the given set of hypotheses and T test statistic. Also determine if the null hypothesis would be rejected at alpha = 0.05. a. HA : mu > 0, n = 11, t = 1.91 b. HA: mu < 0, n = 17, t = -3.45
Find the p-value, Part I. An independent random sample is selected from an approximately normal population...
Find the p-value, Part I. An independent random sample is selected from an approximately normal population with an unknown standard deviation. Find the p-value for the given set of hypotheses and T test statistic. Also determine if the null hypothesis would be rejected at α = 0.05. (a) HA :μ>μ0,n=11,T =1.91 (b) HA :μ<μ0,n=17,T =−3.45 (c) HA :μ?μ0,n=7,T =0.83 (d) HA :μ>μ0,n=28,T =2.13
Find the p-value, Part I. An independent random sample is selected from an approximately normal population...
Find the p-value, Part I. An independent random sample is selected from an approximately normal population with an unknown standard deviation. Find the p-value for the given set of hypotheses and T test statistic. Also determine if the null hypothesis would be rejected at α = 0.05. (a) HA :μ>μ0,n=11,T =1.91 (b) HA :μ<μ0,n=17,T =−3.45 (c) HA :μ?μ0,n=7,T =0.83 (d) HA :μ>μ0,n=28,T =2.13
A random sample of n = 100 scores is selected from a normal population with a...
A random sample of n = 100 scores is selected from a normal population with a mean of μ = 60 and a standard deviation of σ = 20. What is the probability of obtaining a sample mean greater than M = 57?
A random sample of size n1 = 16 is selected from a normal population with a...
A random sample of size n1 = 16 is selected from a normal population with a mean of 74 and a standard deviation of 9. A second random sample of size n2 = 7 is taken from another normal population with mean 68 and standard deviation 11. Let X1and X2 be the two sample means. Find: (a) The probability that X1-X2 exceeds 4. (b) The probability that 4.8 ≤X1-X2≤ 5.6. Round your answers to two decimal places (e.g. 98.76).
A random sample of size n1 = 14 is selected from a normal population with a...
A random sample of size n1 = 14 is selected from a normal population with a mean of 74 and a standard deviation of 6. A second random sample of size n2 = 9 is taken from another normal population with mean 70 and standard deviation 14. Let X¯1and X¯2 be the two sample means. Find: (a) The probability that X¯1-X¯2 exceeds 3. (b) The probability that 4.4 ≤X¯1-X¯2≤ 5.4.
A random sample of n =100 is selected from a normal population with mean μ =...
A random sample of n =100 is selected from a normal population with mean μ = 24 and standard deviation σ = 1.25. Find the probability that  is less than 24.3
Suppose, for a random sample selected from a normal population, we have the values of the...
Suppose, for a random sample selected from a normal population, we have the values of the sample mean x ̄ = 67.95 and the standard deviation s = 9. a. Construct a 95% confidence interval for population mean μ assuming the sample size n = 16. b. Construct a 90% confidence interval for population mean μ assuming n = 16. c. Obtain the width of the confidence intervals calculated in a and b. Is the width of 90% confidence interval...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT