Math

StatisticsQ&A LibraryA sample of 38 observations is selected from one population with a population standard deviation of 4.9. The sample mean is 102.0. A sample of 49 observations is selected from a second population with a population standard deviation of 4.8. The sample mean is 100.4. Conduct the following test of hypothesis using the 0.04 significance level. H0 : μ1 = μ2H1 : μ1 ≠ μ2a) State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) The decision rule is to reject Ho is z is________ the interval (__________, _____)b) Compute the value of the test statistic. (Round your answer to 2 decimal places.)c) What is the p-value? (Round your answer to 4 decimal places.)Question

Asked Nov 26, 2019

82 views

A sample of 38 observations is selected from one population with a population standard deviation of 4.9. The sample mean is 102.0. A sample of 49 observations is selected from a second population with a population standard deviation of 4.8. The sample mean is 100.4. Conduct the following test of hypothesis using the 0.04 significance level.

*H*_{0} : *μ*_{1} = *μ*_{2}

*H*_{1} : *μ*_{1} ≠ *μ*_{2}

_{a) State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) The decision rule is to reject Ho is z is________ the interval (__________, _____)}

_{b) Compute the value of the test statistic. (Round your answer to 2 decimal places.)}

_{c) What is the p-value? (Round your answer to 4 decimal places.)}

Step 1

The sample means of first and second population are 102.3 and 100.4 respectively. The standard deviations of two populations are 4.9 and 4.8 respectively. The sample sizes of first and second populations are 38 and 49 respectively.

Step 2

The significance level is 0.04.

Since the hypothesis test is two tailed test. The critical value at the significance 0.04 can be obtained using Excel formula = NORM.S.INV (0.02)

Step 3

a).

Decision rule:

Reject the null hypothesis at the ...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: How am I able to do problem 27(a) on a TI-83 Plus calculator?

A: GivenPercentage of working mothers do not have enough money to cover their health insurance deductab...

Q: Let Z be the standard normal variable. Make a rough sketch of the appropriate region under the stand...

A: The probability value for P (z < –0.13) is obtained belowLet X ~N (µ, σ), then the standard z-sco...

Q: The null and alternate hypotheses are: H0 : μ1 = μ2H1 : μ1 ≠ μ2 A random sample of 12 observations f...

A: Hypotheses for the test is given below:

Q: (c) Which of the two error types, false negative or false positive, is more crucial to public safety...

A: Type I error is also known as false positive and Type II error is also known as false negative.Type ...

Q: Construct a confidence interval for p1−p2at the given level of confidence. x1=387, n1=512, x2=4...

A: From the given values, the sample proportions of first sample is calculated as follows:

Q: A sporting goods manufacturing company wanted to compare the distance traveled by golf balls produce...

A: Given data

Q: Use the general equation for the least square regression line to show that this line always passes t...

A: The linear regression equation always passes through (x, y)y =a + bxLet there be two variables: x &a...

Q: State whether each of the following changes would make a confidence interval wider or narrower. (As...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: 12 25,3 Section 11.1 Hypothesis Tests for the Difference Between Two Mea- 6 In general, it is not re...

A: (a)The degrees of freedom is 28, which is obtained as follows: