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murzikaleks [220]
2 years ago
11

A sample of 40 observations is selected from one population with a population standard deviation of 5. The sample mean is 102. A

sample of 50 observations is selected from a second population with a population standard deviation of 6. The sample mean is 99. Conduct the following test of hypothesis using the .04 significance level.
Is this a one-tailed or a two-tailed test?

State the decision rule.

Compute the value of the test statistic.

What is your decision regarding H0?

What is the p-value?
Mathematics
1 answer:
marin [14]2 years ago
3 0

1) This is a Two tailed Test.

2) Decision rule is; If the p-value is greater than 4% fail to reject H₀.

3) P-value = 0.00968764 and so we reject H₀

<h3>How to state the decision rule in hypothesis testing?</h3>

We are given the hypothesis as;

Null Hypothesis; H₀: m₁ = m₂

Alternative Hypothesis; H₁: m₁ ≠ m₂

1) Since the alternative hypothesis has "not equal to sign", then it is a two tailed test.

2) Since we are told to use significance level as 0.04, then we can say that the decision rule is;

If the p-value is greater than 4% fail to reject H₀.

3) Using a 2-Sample Z-Test online TI calculator gives the test statistic as;

z = 2.5868

4) From z-score calculator, p-value equals 0.00968764. This is less than 0.04 and as such the decision regarding H₀ is to reject H₀.

5) P-value = 0.00968764

Read more about decision rule in Hypothesis Testing at; brainly.com/question/17192140

#SPJ1

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The sampling method used to examine a population when the auditor wants to estimate a continuous amount (or value) of the popula
S_A_V [24]

The sampling method used to examine a population when the auditor wants to estimate a continuous amount (or value) of the population is variable sampling.

Sampling is a process used in statistical analysis in which a predetermined number of observations are taken from a larger population. The methodology used to sample from a larger population depends on the type of analysis being performed, but it may include simple random sampling or systematic sampling.

Variables sampling is the process used to predict the value of a specific variable within a population

Here, the auditor want to estimate a continuous amount (or value) of the population. So the suitable sampling method is variable sampling

Hence, The sampling method used to examine a population when the auditor wants to estimate a continuous amount (or value) of the population is variable sampling.

Learn more about sampling here

brainly.com/question/24278232

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I thinks it’s line 5
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A builder purchases 600 bricks for a new residential construction. The dimensions of each brick are 5.1 cm by 10.2 cm by 20.3 cm
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<h3>Explanation:</h3>

The total mass is the product of volume of one brick, the number of bricks, and the density. For this problem, it is convenient to use dimensions in meters.

(0.051\,m)(0.102\,m)(0.203\,m)(600)\dfrac{1840\,kg}{m^3}=(0.6336036\,m^3)\dfrac{1840\,kg}{m^3}\\\\=1165.83\,kg

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