Question

In Problems 1 - 3, assume that the population of x values has an approximately normal distribution. Answers may vary slightly due to rounding to TWO decimals: (a) What is the level of significance? State the null and alternate hypothesis. (b) What sample distribution will use? Write the formula for test statistic and find the value? (c) Find the P-Value of the test statistic. (d) Sketch the graph of sampling distribution and show the area corresponding to P-Value. (e) Based on your answers in parts (a) to (d), will you reject or fail to reject the null hypothesis? (f) Interpret your conclusion in the context of the application. A credit card company claims that the mean credit card debt for individuals is greater than $5000. You want to test this claim. You find that a random sample of 37 cardholders has a mean credit card balance of $5.122 and a standard deviation of s=$625.At ∝ = 0.05, can you support the claim? (20 – Pts) Construct the 90% confidence interval estimate of the mean credit card for individuals.

Answer #1

In Problems 1 - 3, assume that the population
of x values has an
approximately normal distribution. Answers may vary slightly due to
rounding to TWO decimals:
(a) What is the level of significance? State the null
and alternate hypothesis. (b) What sample distribution will use?
Write the formula for test statistic and find the value? (c) Find
the P-Value of the test statistic. (d) Sketch the graph of sampling
distribution and show the area corresponding to P-Value. (e) Based...

A credit card company claims that the mean credit card debt for
individuals is greater than $4,900. You want to test this claim.
You find that a random sample of 38 cardholders has a mean credit
card balance of $5,194 and a standard deviation of $550. At
α=0.05, can you support the claim?
Write the claim mathematically and identify H0 and Ha.
Find the critical value(s) and identify the rejection
region(s).
Find the standardized test statistic t.
Decide whether to...

In this problem, assume that the distribution of differences is
approximately normal. Note: For degrees of freedom d.f. not in the
Student's t table, use the closest d.f. that is smaller. In some
situations, this choice of d.f. may increase the P-value by a small
amount and therefore produce a slightly more "conservative"
answer.
Do professional golfers play better in their last round? Let row
B represent the score in the fourth (and final) round, and let row
A represent...

In this problem, assume that the distribution of differences is
approximately normal. Note: For degrees of freedom
d.f. not in the Student's t table, use
the closest d.f. that is smaller. In
some situations, this choice of d.f. may increase
the P-value by a small amount and therefore produce a
slightly more "conservative" answer.
At five weather stations on Trail Ridge Road in Rocky Mountain
National Park, the peak wind gusts (in miles per hour) for January
and April are...

In this problem, assume that the distribution of differences is
approximately normal. Note: For degrees of freedom
d.f. not in the Student's t table, use
the closest d.f. that is smaller. In
some situations, this choice of d.f. may increase
the P-value by a small amount and therefore produce a
slightly more "conservative" answer.
Do professional golfers play better in their last round? Let row
B represent the score in the fourth (and final) round, and
let row A represent...

In this problem, assume that the distribution of differences is
approximately normal. Note: For degrees of freedom
d.f. not in the Student's t table, use
the closest d.f. that is smaller. In
some situations, this choice of d.f. may increase
the P-value by a small amount and therefore produce a
slightly more "conservative" answer.
At five weather stations on Trail Ridge Road in Rocky Mountain
National Park, the peak wind gusts (in miles per hour) for January
and April are...

In this problem, assume that the distribution of differences is
approximately normal. Note: For degrees of freedom d.f. not in the
Student's t table, use the closest d.f. that is smaller. In some
situations, this choice of d.f. may increase the P-value by a small
amount and therefore produce a slightly more "conservative"
answer.
At five weather stations on Trail Ridge Road in Rocky Mountain
National Park, the peak wind gusts (in miles per hour) for January
and April are...

In this problem, assume that the distribution of differences is
approximately normal. Note: For degrees of freedom d.f. not in the
Student's t table, use the closest d.f. that is smaller. In some
situations, this choice of d.f. may increase the P-value by a small
amount and therefore produce a slightly more "conservative"
answer.
In environmental studies, sex ratios are of great importance.
Wolf society, packs, and ecology have been studied extensively at
different locations in the U.S. and foreign...

In this problem, assume that the distribution of differences is
approximately normal. Note: For degrees of freedom d.f. not in the
Student's t table, use the closest d.f. that is smaller. In some
situations, this choice of d.f. may increase the P-value by a small
amount and therefore produce a slightly more "conservative" answer.
In environmental studies, sex ratios are of great importance. Wolf
society, packs, and ecology have been studied extensively at
different locations in the U.S. and foreign...

In this problem, assume that the distribution of differences is
approximately normal. Note: For degrees of freedom
d.f. not in the Student's t table, use
the closest d.f. that is smaller. In
some situations, this choice of d.f. may increase
the P-value by a small amount and therefore produce a
slightly more "conservative" answer.
In environmental studies, sex ratios are of great importance. Wolf
society, packs, and ecology have been studied extensively at
different locations in the U.S. and foreign...

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