Use StatCrunch for each of the following problems. Paste StatCrunch output, state the rejection rule, and...

Use StatCrunch for each of the following problems. Paste StatCrunch output, state the rejection rule, and give both parts of the conclusion.

A random sample of 425 residents of a city have finished an average of 12.7 years of schooling with a standard deviation of 7 years. In the state as a whole, we know the average years of schooling completed is 12.2 years. Test whether the average years of education in the city is higher than the average for the state as a whole.

Solutions

Expert Solution

The hypotheses are:

Since sample mean =12.7 and sample size, n=425 >>30 hence Z statistic is applicable

Test statistic:

P-value:

P-value according to the Z score is computed using Z table shown below as

=0.0708

Conclusion:

Since the P-value > 0.01, 0.05 but less than 0.1 hence at only 90 % confidence level we can reject the null hypothesis and supprt the claim,

orchestra answered 1 year ago

Next > < Previous

Related Solutions

For each problem, a) attach StatCrunch output, b) write a sentence of interpretation, and c) state...

For each problem, a) attach StatCrunch output, b) write a sentence of interpretation, and c) state the interval in margin of error form. 2. In a sample of 200 people, 112 said they always recycle. Calculate and interpret a 95% confidence interval for the proportion of all people who always recycle.

For each hypothesis test, you must state (a) hypotheses, (b) test statistic, p-value, (c) rejection rule,...

For each hypothesis test, you must state (a) hypotheses, (b) test statistic, p-value, (c) rejection rule, and (d) both parts of the conclusion. It is only necessary to calculate the effect size if the problem calls for it. Use a .05 level of significance for all hypothesis tests. Use StatCrunch to complete all hypothesis tests and confidence intervals. Make sure you copy and paste the relevant output for the solutions. Honor code expectations: you are not allowed any collaboration or...

These problems may be solved using Minitab. Copy and paste the appropriate Minitab output into a...

These problems may be solved using Minitab. Copy and paste the appropriate Minitab output into a word-processed file. Add your explanations of the output near the Minitab output. DO NOT SIMPLY ATTACH PAGES OF OUTPUT AS AN APPENDIX. Each problem should be able to fit on one or two pages, and each problem should include the following: Minitab output for the ANOVA. Written statement interpreting the ANOVA. Four-in-one plot of the residuals. Written interpretation as to whether the three assumptions...

The decision rule (aka, the rejection region) for testing the following pair of hypotheses at the...

The decision rule (aka, the rejection region) for testing the following pair of hypotheses at the .01 level of significance when a sample size of 45 is taken. H0: p = .45 Ha: p ≠ .45 P (p̂ < 0.35) where p̂ is approximately normally distributed with p = .33 and n = 100. c. Determine the p-value for testing: H0: µ = 43 Ha: µ ≠ 43 when a random sample of size 30 was taken from a normal...

The decision rule (aka, the rejection region) for testing the following pair of hypotheses at the...

The decision rule (aka, the rejection region) for testing the following pair of hypotheses at the .01 level of significance when a sample size of 45 is taken. H0: p = .45 Ha: p ≠ .45 P (p̂ < 0.35) where p̂ is approximately normally distributed with p = .33 and n = 100. Determine the p-value for testing: H0: µ = 43 Ha: µ ≠ 43 when a random sample of size 30 was taken from a normal population...

Use StatCrunch for each problem. Write which StatCrunch menu option you used, and give either both...

Use StatCrunch for each problem. Write which StatCrunch menu option you used, and give either both the test-statistic and the p-value, or else the confidence interval. CAUTION: Some of the problems may involve categorical variables and proportions, rather than the newer material on numerical variables and means! 1. Give a 99% confidence interval for the mean price of new mid-size cars, based on a sample of 12 mid-size cars that has a mean of $21,350 and a standard deviation of...

Use the product rule or quotient rule, as appropriate, to compute each of the following derivatives:...

Use the product rule or quotient rule, as appropriate, to compute each of the following derivatives: A. sin^2(x) B. sin(x) cos(x) C. sec(x) tan(x) D. x^2ln(x) E. xtan(x)

7. Use the Product Rule and the Sum Rule to determine each of the following probabilities:...

7. Use the Product Rule and the Sum Rule to determine each of the following probabilities: Mendel mated Yellow Round peas (YYRR) to Green Wrinkled peas (yyrr), then performed an F1 selfcross (YyRr x YrRr). What is the probability that an F2 pea chosen at random is heterozygous for both genes? From the YrRr x YyRr self cross: What is the probability that an F2 pea chosen at random is heterozygous for the Y gene OR the R gene? Cystic...

Use StatCrunch to determine the count and percentage of observations falling in each of these intervals...

Use StatCrunch to determine the count and percentage of observations falling in each of these intervals by following the instructions listed below or using another appropriate counting method. Properly label and list these counts and percentages in your document. Start in the “Body Temp” data set. Go to Data  Row Selection  Interactive Tools. In the slider selectors box, click the variable Body Temp into the variable box. Then Click compute. I got this answer: 68% of the data...

Make sure you state your hypotheses and rejection rule. Calculate your test statistic and decide whether...

Make sure you state your hypotheses and rejection rule. Calculate your test statistic and decide whether to reject the null hypothesis or not and then explain what that conclusion means. You will need to use formulas with proper notation and draw diagrams for each of these problems. 2. From a population of coffee cans marked "12 ounces," a sample of 25 cans is selected and the contents of each can is weighed. The sample revealed a mean of 11.8 ounces...

Subjects