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Confidence Interval with Means Review

Authored by Kadir Karaciga

Mathematics

12th Grade

Used 5+ times

Confidence Interval with Means Review
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15 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

As n grows larger, the mean of the sampling distribution of x̄ gets closer to μ.

True

False

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The distribution of x̄ is approximately normal if the population is normal.

True

False

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The mean and the standard deviation of the distribution of x̄ are μ and σ/√n respectively.

True

False

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The larger the value of n, the closer the t distribution is to a z distribution.

True

False

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Students investigating the packaging of Ruffles Potato Chips, labeled 28.3 grams, randomly selected 50 bags and found a mean weight of 28.1 grams with a standard deviation of 1.4 grams. Assuming the weights are normally distributed, what is the margin of error for the 90% confidence interval?

a. 0.333

b. 2.352

c. 0.329

d. 2.324

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which statement correctly describes the relation between a t-distribution and a standard normal distribution?

a. The t distribution has more area in the tails than the standard normal .

b. The standard normal distribution is centered at 0, while the t-distribution is centered at (n-1).

c. The t-distribution has a smaller standard deviation than the standard normal distribution.

d. The standard normal is just another name for the t-distribution.

e. As the sample size increases, the standard deviation of the t-distribution decreases.

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Which statement about the t-distributions is false?

a. The t-distribution is symmetric.

b. The standard deviation of the t-distribution approaches –∞ as the degrees of freedom increases.

c. The t-distribution has a smaller standard deviation than the standard normal distribution.

d. The t-distribution is centered at zero.

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