Consider the following fat content in a sample of n = 10 hot dogs randomly selec

Question

Consider the following fat content in a sample of n = 10 hot dogs randomly selected: Assuming the population is normally distributed, what is the 90% prediction interval for the next hot dog selected. (16.813, 32.187) None of these options (15.813, 33.187) (14.813, 34.187) Consider the following fat content in a sample of n = 10 hot dogs randomly selected: Assuming that the population is normally distributed, what is the 99% tolerance interval that captures 95% of the population (2 - tailed). (7.473, 41.527) (8.473, 40.527) (9.473, 39.527) None of these answers (3.004, 45.996)

Explanation / Answer

using Minitab

Here population standard deviation is not given and we have sample data set so we can used one sample t interval to construct the confidence interval for popuation mean.

Step 1) enter the given data set in minitab columns

Step 2) Stat>>>Basic Statistics >>1 sample t...

Click on "Samples in columns"

select the column name in which your data is present.

then click on Option select level of confidence = 90

Alternative " not equal"

Click on Ok

Again "click on OK"

then we get the following output

One-Sample T: X

Variable N Mean StDev SE Mean 90% CI
X 10 24.50 5.04 1.59 (21.58, 27.42)

From the above output the 90% confidence interval is   

(21.58, 27.42) which is not given in the answer so choose option B) None of these option

b)

using Minitab

Here population standard deviation is not given and we have sample data set so we can used one sample t interval to construct the confidence interval for popuation mean.

Step 1) enter the given data set in minitab columns

Step 2) Stat>>>Basic Statistics >>1 sample t...

Click on "Samples in columns"

select the column name in which your data is present.

then click on Option select level of confidence = 99

Alternative " not equal"

Click on Ok

Again "click on OK"

then we get the following output

One-Sample T: X

Variable N Mean StDev SE Mean 99% CI
X 10 24.50 5.04 1.59 (19.32, 29.68)

From the above output the 90% confidence interval is   

(19.32, 29.68) which is not given in the answer so choose option D) None of these option

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.