Let sample 1 be the presurgery data, let sample 2 be the postsurgery data, and let μp=H₁-H₂. State the null and alternative hypotheses. Ho Ho Hi. Ho
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Foal Presurgery* Postsurgery*
1 10.78 10.57
2 12.88 16.61
3 9.59 17.22
4 8.79 13.98
5 11.98 10.62
6 6.09 8.58
*all values x10^-3
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- At α=0.02 , Use the distribution table to find the critical values for the rejection region tc= (use 4 decimal places)e. What is your conclusion? Fail to reject the null hypothesis and do not support the claim Reject the alternative hypothesis and support the claim Accept the null hypothesis and support the claim Reject the null hypothesis and support the claim Accept the alternative hypothesis and reject the claimAt α=0.02 , Use the distribution table to find the critical values for the rejection regiontc=_______ (use 4 decimal places) What is your conclusion? Accept the null hypothesis and support the claim Fail to reject the null hypothesis and do not support the claim Reject the alternative hypothesis and support the claim Accept the alternative hypothesis and reject the claim Reject the null hypothesis and support the claimAt α=0.10 , Use the distribution table to find the critical values for the rejection regiontc= (use 4 decimal places)e. What is your conclusion? Reject the null hypothesis and support the claim Accept the alternative hypothesis and reject the claim Accept the null hypothesis and support the claim Fail to reject the null hypothesis and do not support the claim Reject the alternative hypothesis and support the claim
- The data in the accompanying table represent the compressive strength, in thousands of pounds per square inch (psi), of 20 samples of concrete taken two and seven days after pouring. A. Determine the test statistic & the critical values. B. What assumption is necessary about the population distribution in order to perform this test? C. Determine the P-value Interpret the meaning of the p-value.(a) state the null and the alternative hypothesis(b) compute the test statistic, (c) determine the critical value and sketch therejection region and the non-rejection region using the normal curve. Show the 3-step procedures. A rural health unit surveyed the heights of the male aged 18 to 24 years old. It was found out that the mean height of males aged 18 to 24 years old was 70 inches. If a random sample of 20 males aged 18 to 24 years old had a mean height of 65 inches with a standard deviation of 3. Use 1% level of significance.Lifetime of electronics: In a simple random sample of 100 electronic components produced by a certain method, the mean lifetime was 125 hours. Assume that component lifetimes are normally distributed with population standard deviation σ=20 hours. Round the critical value to no less than three decimal places.
- Calculating a 95% Cl of the mean for a continuous, numerical variable measured on 100 experimental units requires: A) The critical t value for the .99 quantile (99 percentile) of the t distribution with df = 99 B) The critical t value for the .99 quantile (99 percentile) of the t distribution with df = 95 C) The samble mean D) The critical t value for the .975 quantile (97.5 percentile) of the t distribution with df = 99 E) The critical t value for the .975 quantile (97.5 percentile) of the t distribution with df = 95Critical value for the rejection region with σσ known (Z-test).The population standard deviation is known, the α=0.05 in a left tailed testThe critical value for the rejection region is Zc=SHOW COMPLETE SOLUTION A new cure has been developed for a certain type of cement that results in a compressive strength of 5,000 kilograms per square centimeter and a standard deviation of 120. To test the hypothesis that =5,000 against the alternative that<5,000, a random sample of 50 pieces of cement is tested. The critical region is defined to be x<4970. Find the probability of committing a type 1 error when H0 is true. Evaluate for the alternative =4970 and=4960
- One Sample Mean: II George plans to take simple random sample of size 50 from a population, and to compute the mean x-bar of the weights of the people in the sample. Unknown to George, the mean of the population is 145 and the SD of the population is 23. Using the normal-curve approximation from Central Limit Theorem, compute the approximate probability that x-bar will turn out to be more than 147 pounds. Write your answer as a decimal between 0 and 1, not as a percentage, and make sure that it is correct to at least two decimal places. __________________________________________Decreasing the alpha level (for example from = .05 to = .01) ____. a Decreases the probability of a Type I error b Decreases the size of the critical region c Decreases the probability that the sample will fall into the critical region d All of the other options are results of decreasing alpha.True or false? The value zc is a value from the standard normal distribution such that P(–zc < z < zc) = c. False. By definition, critical values zc are such that 100c% of the area under the standard normal curve falls in the tails, to the left of –zc and to the right of zc. False. By definition, critical values zc are such that 100c% of the area under the standard normal curve falls between –zc and zc. True. By definition, critical values zc are such that 100c% of the area under the standard normal curve falls between –zc and zc. True. By definition, critical values zc are such that 100c% of the area under the standard normal curve falls in the tails, to the left of –zc and to the right of zc.