Find the P-value for the indicated hypothesis test with the given standardized test statistic, z. Decide whether to reject Ho for the given level of significance α. Right-tailed test with test statistic z = 1.33 and x = 0.09 P-value= (Round to four decimal places as needed.)
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- 33) Test the claim that the mean GPA of night students is greater than the mean GPA of day students at the 0.025 significance level. The sample consisted of 11 night students, with a sample mean GPA of 2.93 and a standard deviation of 0.03, and 18 day students, with a sample mean GPA of 2.91 and a standard deviation of 0.032.The test statistic is: (to 2 decimals)The p-value is: (to 4 decimals)Two samples are taken with the following sample means, sizes, and standard deviations T1 = 40, 2 = 26 ni = 66, n2 = 69 81 = 3.2, s2 = 4.1 %3D Fcdf = Round answers to three decimal places. %3D Do we pool then? O Yes O No Estimate the difference in population means using a 91% confidence level. Round answers to three decimal places.A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 445 gram setting. It is believed that the machine is under filling the bags. A9 bag sample had a mean of 438 gram with a standard deviation of 25. Assume the population is normally distributed. A level of significance of 0.05 will be used. Specify the type of hypothesis test. Is it Left-Tailed Test, Right Tail test, or Two Tailed test
- A recent study focused on the amount of money single men and women save monthly. The information is summarized here. Assume that the population standard deviations are unknown but equal. Sample Size Sample Mean Sample Standard Deviation Men 25 50 10 Women 30 54 5 At the 0.01 significance level, do women save more money than men? What is the value of the test statistic for this hypothesis test? Multiple Choice +1.819 +2.326 +1.924 +2.399Has the average time between telephone orders changed from 3.8 minutes, the mean of two years ago? This is the question facing a telephone mail-order company that has just started selling items based on special promotional materials. The population standard deviation from initial study was 0.5 minutes. A random sample of 100 telephone orders reveals a sample mean of 4 minutes. A significance level of 0.02 is chosen for this hypothesis test. Test the hypothesis using the p-value and choose which of the following outcomes is true. Select one: a. p-value = 0.00003, less than the significance level 0.02, reject the null hypothesis b. p-value = 0.00006, less than the significance level 0.02, reject the null hypothesis c. p-value = 0.99997, greater than the significance level 0.02, fail to reject the null hypothesis d. p-value = 0.00003, less than the significance level 0.02, fail to reject the null hypothesisSuppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x= 99.11, y = 100.1, r=0.872, P-value = 0.000, and y = 7.99 +0.93x, where x represents the IQ score of the twin bom first. Find the best predicted value of y given that the twin born first has an IQ of 96? Use a significance level of 0.05. 1 Critical Values of the Pearson Correlation Coefficient r E Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y is. Critical Values of the Pearson Correlation Coefficient r a = 0.01 NOTE: To test Ho: p=0 against H,: p#0, reject H, if the absolute value of r is greater than the critical value in the table. (Round to two decimal places as needed.) a = 0.05 4 0.950 0.990 0.878 0.959 0.811 0.917 0.754 0.875 0.834 0.798 0.765 0.735 0.708 8 0.707 9 0.666 10 0.632 11 0.602 0.576 0.553 12 0.684 13 0.661 0.641 0.623 0.606 14 0.532 0.514 15 16 17 0.497 0.482 0.468 0.456 0.444 0.590 0.575…
- Use the following scenario to answer the next 6 questions. An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 30 engines and the mean pressure was 4.8 psi with a standard deviation of 1 psi. If the valve was designed to produce an overall mean pressure of 5.0 psi, is there sufficient evidence at the 10% level of significance that the valve performs below specifications? The appropriate hypothesis test for this scenario is: Group of answer choices right-tailed two-tailed left-tailedA pipes manufacturer makes pipes with a length that is supposed to be 16 inches. A quality control technician sampled 29 pipes and found that the sample mean length was 16.05 inches and the sample standard deviation was 0.14 inches. The technician claims that the mean pipe length is not 16 inches. What type of hypothesis test should be performed? What is the test statistic? What is the number of degrees of freedom? Does sufficient evidence exist at the α=0.01 significance level to support the technician's claim?The Woodcock-Johnson Cognitive Ability test indicates that the average score is 95. The same group of 12th grade students (n = 72) in Columbus are tested and the sample mean is 110.1 and the sample standard deviation is 15.2. Do the scores provide good evidence that the mean IQ of this population is greater than 95? State the null (H0) and alternative (Ha) hypotheses. What are the confidence intervals for this data? What is the value of the test statistic? What is the p-value for this data? What is your decision about the null hypothesis? summerize the conclusion in the context
- please help me dtermine the test statistic AND P-value?The mean number of eggs per person eaten in the United States is 266. Do college students eat a different number of eggs than the average American? The 61 college students surveyed averaged 285 eggs per person and their standard deviation was 72.6. What can be concluded at the a= 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: v Select an answer H.: vSelect an answer c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ? f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) a O The data suggest that the sample mean is not significantly different from 266 at a = 0.10, so there is statistically insignificant evidence to conclude that the sample mean number of eggs consumed by college students per year is different from 285. O The data suggest that the…In the past, the time for Jeff's journey to work had mean 45.7 minutes and standard deviation 5.6 minutes. This year he is trying a new route. In order to test whether the new route has reduced his journey time, Jeff finds the mean time for a random sample of 30 journeys using the new route. He camies out a hypothesis test at the 2.5% significance level. Jeff assumes that, for the new route, the joumey time has a nomal distribution with standard deviation 5.6 minutes. (a) State appropriate null and alternative hypotheses for the test. (b) Determine the rejection region for the test.