Compute the standard error of the statistic xˉ1−xˉ2x.
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Researchers are trying to determine if there is a difference in the average lifespan of two species of fruit fly: Ceratitis capitata and Drosophila melanogaster. They measure the lifespans of two random samples of each species. The SRS of Ceratitis capitata was of size 105 and had an average lifespan of 51 days with a standard deviation of 7 days. The SRS of Drosophila melanogaster was of size 95 and had an average lifespan of 48 days with a standard deviation of 6 days.
let μ1 denote the mean lifespan of Ceratitis capitata and μ2 denote the mean lifespan of Drosophila melanogaster.
Compute the standard error of the statistic xˉ1−xˉ2x. Round your answer to four decimal places.
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- A computer software vendor claims that a new version of its operating system will crash fewer than six times per year on average. A system administrator installs the operating system and claims that the new operating system will crash more than six times per year on average. At the end of year, the system administrator samples 41 computers with the new operating system and finds that the mean number of crashes on those computers for the year was 7.1 with sample standard deviation of 3.6 crashes. Can you conclude that the system administrator’s claim is correct? Use the critical value method to perform a hypothesis test at the 0.05 level of significance. a. Define the parameter we are testing and setup a hypothesis test to test the administrator’s claim: b. Calculate the test statistics for this hypothesis test. c. What is the critical value for this hypothesis test?A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type II ovens. A sample of 34 type I ovens has a mean repair cost of $70.86, with a standard deviation of $12.35. A sample of 48 type II ovens has a mean repair cost of $67.84, with a standard deviation of $21.72. Conduct a hypothesis test of the technician's claim at the 0.10.1 level of significance. Let μ1 be the true mean repair cost for type I ovens and μ2 be the true mean repair cost for type II ovens. Step 2 of 4 : Compute the value of the test statistic. Round your answer to two decimal places.Researchers are trying to determine if there is a difference in the average lifespan of two species of fruit fly: Ceratitis capitata and Drosophila melanogaster. They measure the lifespans of two random samples of each species. The SRS of Ceratitis capitata was of size 105 and had an average lifespan of 51 days with a standard deviation of 7 days. The SRS of Drosophila melanogaster was of size 95 and had an average lifespan of 48 days with a standard deviation of 6 days.
- An industrial plant wants to determine which of two types of fuel, electric or gas, is more cost efficient (measured in cost per unit of energy). Independent random samples were taken of plants using electricity and plants using gas. These samples consisted of 14 plants using electricity, which had a mean cost per unit of $55.06 and standard deviation of $8.25, and 12 plants using gas, which had a mean of $57.80 and standard deviation of $7.81. Assume that the populations of costs per unit are normally distributed for each type of fuel, and assume that the variances of these populations are equal. Can we conclude, at the 0.10 level of significance, that μ₁, the mean cost per unit for plants using electricity, differs from μ₂, the mean cost per unit for plants using gas? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of…A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type Il ovens. A sample of 62 type l ovens has a mean repair cost of $86.71, with a standard deviation of $11.53. A sample of 61 type Il ovens has a mean repair cost of $79.77, with a standard deviation of $13.41. Conduct a hypothesis test of the technician's claim at the 0.05 level of significance. Let uj be the true mean repair cost for type I ovens and uz be the true mean repair cost for type Il ovens. Step 2 of 4: Compute the value of the test statistic. Round your answer to two decimal places. Answer O Tables E Keypad How to enter your answer Keyboard Shortcuts Previous Step Answers Submit Answer O 2020 Hawkes Learning MacBook Air 80 88 DI DD F1 F2 F4 F7 F8 F11 ! 23 $ & 1 2 3 4 + 7 8 9 Q W E R T Y U { [ A S D F H J K L C V B N M > ? otion command command option .. .-Is there any difference in the variability in golf scores for players on the LPGA Tour (the women's professional golf tour) and players on the PGA Tour (the men's professional golf tour)? A sample of 20 tournament scores from LPGA events showed a standard deviation of 2.4623 strokes, and a sample of 30 tournament scores from PGA events showed a standard deviation of 2.2118. Conduct a hypothesis test for equal population variances to determine whether there is any statistically significant difference in the variability of golf scores for male and female professional golfers. Use a = = 0.10. Ho : o Ha : o - Select your answer - - Select your answer What is your conclusion? There is - Select your answer V significant difference in the variances. - Select your answer -
- A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type Il ovens. A sample of 60 type I ovens has a mean repair cost of $74.06, with a standard deviation of $16.10. A sample of 68 type Il ovens has a mean repair cost of $67.73, with a standard deviation of $14.70. Conduct a hypothesis test of the technician's claim at the 0.1 level of significance. Let u, be the true mean repair cost for type I ovens and u, be the true mean repair cost for type Il ovens. Step 1 of 4: State the null and alternative hypotheses for the test. Answer O Tables E Keypad Keyboard Shortcuts Submit Answer O 2020 Hawkes Learning E P Search for anything 812 AM 11/25/2020 hp brt se delete home end pg up 共 %24 4 2. 3 6 9 +] 8 + backspace num lock Q E R T Y 8. home G H K enter 4 pause V M t shift 2 end alt talt ctri insAn industrial plant wants to determine which of two types of fuel, electric or gas, is more cost efficient (measured in cost per unit of energy). Independent random samples were taken of plants using electricity and plants using gas. These samples consisted of 7 plants using electricity, which had a mean cost per unit of $64.13 and standard deviation of $8.32, and 12 plants using gas, which had a mean of $60.30 and standard deviation of $8.52. Assume that the populations of costs per unit are normally distributed for each type of fuel, and assume that the variances of these populations are equal. Can we conclude, at the 0.10 level of significance, that u,, the mean cost per unit for plants using electricity, differs from u, the mean cost per unit for plants using gas? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)…A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type Il ovens. A sample of 58 type I ovens has a mean repair cost of $84.57, with a standard deviation of $12.03. A sample of 72 type |l ovens has a mean repair cost of $81.69, with a standard deviation of $11.91. Conduct a hypothesis test of the technician's claim at the 0.1 level of significance. Let u be the true mean repair cost for type I ovens and uz be the true mean repair cost for type II ovens. Step 3 of 4: Determine the decision rule for rejecting the null hypothesis Hg. Round the numerical portion of your answer to two decimal places. E Tables E Keypad Answer Keyboard Shortcuts Previous Step Answers Reject Ho if Tutor Skip Try Similar Submit Answer O 2020 Hawkes Learning MacBook Air esc 80 888 F3 F4 FS F10 F11 F12 ! $ & + 1 2 3 6 8. 9 delete W R Y U { tab [ A F H J K s lock returr C V control option…