please asnwer everything An assembly line has a machine that welds two parts together. When the machine is properly calibrated, its welds have a mean length of 24.00 mm with astandard deviation of 0.27 mm. It has been a while since the machine has been serviced. Because of this, the foreman has told you to perform a hypothesis testto determine if the standard deviation, o, of the weld lengths is greater than when this machine is properly calibrated. To do so, you choose at random a sampleof size 13 and examine the weld lengths. You find they have a sample standard deviation of 0.32 mm. Assume the weld lengths follow a normal distribution.Is there enough evidence to conclude that the population standard deviation, o, is greater than 0.27 mm? To answer, complete the parts below to perform ahypothesis test. Use the 0.10 level of significance.(a) State the null hypothesis Ho and the alternative hypothesis H₁ that you would use for the test.Ho: OH₁:0OロミロChi-square DistributionStep 1: Enter the number of degreesof freedom.Step 3: Enter the test statistic.(Round to 3 decimal places.)Step 2: Select one-tailed or two-tailed.O One-tailedO Two-tailedXStep 5: Enter the p-value.(Round to 3 decimal places.)S(b) Perform a chi-square test and find the p-value.Here is some information to help you with your chi-square test.The value of the test statistic is given by x²Step 4: Shade the area represented bythe p-value.OSO(n-1)s²0²• The p-value is the area under the curve to the right of the value of the test statistic.ロ=ロO Over the years, a sushi restaurant has had a mean customer satisfaction rating of 71.2 with a variance of 26.8. The owner wants to see if using a new menu willhave any effect on the variance, o². The owner surveys a random sample of 18 customers who ordered from the new menu. For the customers surveyed, thevariance of ratings is 45.1. Assume the ratings for customers who order from the new menu follow a normal distribution.Is there enough evidence to conclude that the population variance, o², differs from 26.8? To answer, complete the parts below to perform a hypothesis test. Usethe 0.05 level of significance.(a) State the null hypothesis Ho and the alternative hypothesis H₁ that you would use for the test.Ho:H₁:0aロ

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please asnwer everything An assembly line has a machine that welds two parts together. When the machine is properly calibrated, its welds have a mean length of 24.00 mm with astandard deviation of 0.27 mm. It has been a while since the machine has been serviced. Because of this, the foreman has told you to perform a hypothesis testto determine if the standard deviation, o, of the weld lengths is greater than when this machine is properly calibrated. To do so, you choose at random a sampleof size 13 and examine the weld lengths. You find they have a sample standard deviation of 0.32 mm. Assume the weld lengths follow a normal distribution.Is there enough evidence to conclude that the population standard deviation, o, is greater than 0.27 mm? To answer, complete the parts below to perform ahypothesis test. Use the 0.10 level of significance.(a) State the null hypothesis Ho and the alternative hypothesis H₁ that you would use for the test.Ho: OH₁:0OロミロChi-square DistributionStep 1: Enter the number of degreesof freedom.Step 3: Enter the test statistic.(Round to 3 decimal places.)Step 2: Select one-tailed or two-tailed.O One-tailedO Two-tailedXStep 5: Enter the p-value.(Round to 3 decimal places.)S(b) Perform a chi-square test and find the p-value.Here is some information to help you with your chi-square test.The value of the test statistic is given by x²Step 4: Shade the area represented bythe p-value.OSO(n-1)s²0²• The p-value is the area under the curve to the right of the value of the test statistic.ロ=ロO Over the years, a sushi restaurant has had a mean customer satisfaction rating of 71.2 with a variance of 26.8. The owner wants to see if using a new menu willhave any effect on the variance, o². The owner surveys a random sample of 18 customers who ordered from the new menu. For the customers surveyed, thevariance of ratings is 45.1. Assume the ratings for customers who order from the new menu follow a normal distribution.Is there enough evidence to conclude that the population variance, o², differs from 26.8? To answer, complete the parts below to perform a hypothesis test. Usethe 0.05 level of significance.(a) State the null hypothesis Ho and the alternative hypothesis H₁ that you would use for the test.Ho:H₁:0aロ<ロChi-square DistributionStep 1: Enter the number of degreesof freedom.Step 3: Enter the test statistic.(Round to 3 decimal places.)S020 0=0 0#0(b) Perform a chi-square test and find the p-value.Here is some information to help you with your chi-square test.The value of the test statistic is given by ²Step 2: Select one-tailed or two-tailed.O One-tailedO Two-tailedStep 5: Enter the p-value.(Round to 3 decimal places.)OSO(n-1)s²-0²The p-value is two times the area under the curve to the right of the value of the test statistic.Step 4: Shade the area represented bythe p-value.O

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