Statistics Quizzes

by Electra Radioti

Category: Statistics Quizzes

Statistics Quizzes

Quiz

1 / 1

If \(X\) is a binomial random variable with parameters \(n = 10\) and \(p = 0.3\), then \(P(X \leq 3)\) is:

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Quiz

To determine the correct answer, we use the central limit theorem, which states that the sampling distribution of the sample mean will be normally distributed if the sample size is sufficiently large (usually n > 30). We calculate the z-score for the sample mean of 1,210 hours and then find the corresponding probability from the standard normal distribution.

1 / 1

A manufacturing plant produces light bulbs that are supposed to have an average lifespan of 1,200 hours, with a standard deviation of 100 hours. If a random sample of 40 bulbs is taken from the production line, find the probability that the average lifespan of the bulbs in the sample will be more than 1,210 hours.

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The average score is 50%

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Statistics Quiz with Solutions (10 questions)

Statistics Quiz with Solutions (10 questions)

1 / 10

A numerical value produced by a stochastic process is referred to as a(n) _____.

2 / 10

A random sample of size 169 is drawn from a population where the proportion possessing the desired trait is \(p = 0.48\). Determine the standard error of the sample proportion.

3 / 10

A particular selection from a sample space is known as a(n) _____.

4 / 10

The proportion of a population exhibiting a specific characteristic is \(p = 0.35\). Determine the mean of the sample proportion derived from random samples of size \(n = 900\).

5 / 10

A(n) _____ is a value that represents a characteristic of the sample data.

6 / 10

For the sample space \(S = \{a, b, c, d, e\}\), identify the complement of \(B = \{b, d\}\).

7 / 10

For hypothesis tests involving a single population proportion with large samples, the test statistic is distributed according to:

8 / 10

For a standard normal variable \(Z\), which of the following z-values satisfies the expression: \(P(Z \leq z) = 0.7734\).

9 / 10

Calculate the expected value (mean) of a binomial distribution with parameters \(n = 10\) and \(p = 0.3\).

10 / 10

Determine the probability, \(P(-2.05 < Z < 1.96)\), for a standard normal variable \(Z\).

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The average score is 95%

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Statistics Quiz with Solutions (10 Questions)

Statistics Quiz with Solutions (10 Questions)

1 / 10

Assume that IQ scores follow a bell-shaped distribution with a mean of 100 and a standard deviation of 16. Use the empirical rule to find the percentage of people who scores between 52 and 148.

2 / 10

A pair of balanced dice are rolled. What is the probability of not rolling doubles?

3 / 10

An investor expects a return of 4% with a standard deviation of 6% on his savings. Use the empirical rule to find the probability of earning a return greater than 15% if the investment returns are normally distributed.

4 / 10

Construct a sample space for the experiment of tossing two distinguishable coins (h for heads and t for tails).

5 / 10

The deterministic part of the simple linear regression equation describes:

6 / 10

Determine the probability that, when a die is rolled eight times, the face showing two spots appears exactly twice.

7 / 10

Lara orders five handmade mugs from an online site that claims that it averages only five damaged mug for every 50,000 mugs it produces. What is the probability that Lara's order contains one or more defective pieces?

8 / 10

Calculate the second quartile (Q2), also known as the median, of the given data set: {1.5, 2.3, 1.7, 3.6, 2.9, 4.2, 3.3}.

9 / 10

A journalist plans to interview an equal number of people in two cities to compare the proportions in each city that favor the proposal of privatization of government-controlled state public transportation. Let p1 and p2 be the true proportions of people of the two cities who are in favor of the proposal. Suppose it is desired to find a 99.9% confidence interval for estimating p1–p2 to within 0.08. Estimate the minimum equal number of people of each city that must be sampled to meet these criteria.

10 / 10

A retailer wishes to estimate the difference in the average sales of a soft drink sold in two kinds of flavors, at 98% confidence and to within six dollars. Estimate the minimum equal sample sizes necessary if it is known that the standard deviations of the sales on these two flavors of the soft drink last week was $11.50 and $14.20.

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The average score is 38%

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