Answered: A credit card company claims that the…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

A credit card company claims that the mean credit card debt for individuals is greater than $5,100. You want to test this claim. You find that a random sample of 33 cardholders has a mean credit card balance of $5,325 and a standard deviation of $675.

At α=0.01, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed.

(a) Write the claim mathematically and identify

H0 and Ha.

Which of the following correctly states

H0 and Ha?

b) Find the critical value(s) and identify the rejection region(s).

What is(are) the critical value(s),

t0?

Determine the rejection region(s).

Find the standardized test statistic t.

Decide whether to reject or fail to reject the null hypothesis.

Interpret the decision in the context of the original claim.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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