What would be the minimum sample size for an independent samples t-test with a small effect size where eta squared = .01, alpha = .05, and statis
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- We wish to conduct a hypotheses test of the form H0: μ1 - μ2 = 0 vs H0: μ1 - μ2 < 0 Both populations are assumed normal with equal variance. We draw 10 observations for the first sample and 20 observations for the second sample. State the decision rule for the test if the level of significance is 0.05.A study is conducted to investigate the average number of hours of sleep per night for a sample of 40 college students. The sample mean is found to be x̄ = 6.5 hours with a standard deviation of s = 1.2 hours. Perform a hypothesis test to determine if the population mean number of hours of sleep per night is less than 7 hours. Use a significance level of α = 0.05.A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 409 gram setting. It is believed that the machine is underfilling the bags. A 35 bag sample had a mean of 407407 grams. Assume the population variance is known to be 324. A level of significance of 0.02 will be used. State the null and alternative hypotheses.
- Homeowners claim that the mean speed of automobiles travelling on the street is AT LEAST 35 miles per hour. They are demanding the creation of bumps on the road. This will cost the county $100,000. As the county inspector you want to be sure it is worth the money so you randomly sample of 100 automobiles and derive a mean speed of 36 miles per hour and a population standard deviation of 4 miles per hour. Is there enough evidence to support their claim at alpha = 0.05?State Ho and Ha--What kind of test is it?What is the p-value?- Interpret the resultsA sample of n = 16 individuals participates in a repeated-measures study that produces a sample mean difference of 9 with SSD = 960. Calculate the variance for the sample of difference scores. Calculate the estimated standard error for the sample mean difference.It was reported that last year the average price of a gallon gasoline in a city X was $3.15. This year a sample of 50 gas station had an average price of $3.10 for a gallon. We assume that the population standard deviation of prices is $0.15. We are interested in determining whether this year mean price is less than last year. Perform a hypothesis test at the level of significance α=0.05.
- Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.6 parts/million (ppm). A researcher believes that the current ozone level is not at a normal level. The mean of 1313 samples is 7.2 ppm with a variance of 0.49 Assume the population is normally distributed. A level of significance of 0.02 will be used. Make the decision to reject or fail to reject the null hypothesis.Big babies: The National Health Statistics Reports described a study in which a sample of 310 one-year-old baby boys were weighed. Their mean weight was 24.4 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the α = 0.10 level of significance and the P-value method with the TI-84 Plus calculator. Compute the P-value. Round the answer to at least four decimal places. P-value = ____ How do I solve this problem using the TI-84 calculator?A sample mean is 94, sample size is 27, and population standard deviation is 14 are given. Ho: p=89, Hl: μ#89 and a significance level is 0.10. Use the P-value approach to test the hypothesis. O a z=186; P-value = 0.0314; reject null hypothesis O b. z 186, P-value = 0.0628; reject null hypothesis O c. z=0.36; P-value = 0.7188, do not reject null hypothesis Od. z=0.36, P-value = 0.3594; do not reject null hypothesis
- A random sample of 32 items from the first population showed a mean of 112 and a standard deviation of 19. A sample of 28 items for the second population showed a mean of 106 and a standard deviation of 8. Test the assumption that the population variances are equal with 0.10 significance level. Then, using a 0.05 significance level, test the hypothesis that the population means are equal. An independent measures design study with n= 16 in each sample produces a sample meam difference of 4 points and a pooled variance of 24. Wht is the value of t statistic?If a researcher wants to conduct a two-tailed single sample + test with data from 30 participants and an alpha level of 0.05, what is the correct critical value? a. 2.043 b. 1699 c. 2045 d. 1.698