You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:µ = 63.6 Ha:µ > 63.6 %3D You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 66.9 78.6 53.8 57.9 57 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value %3D

The mean salary at a local industrial plant is $29,600 with a standard deviation of $5700. The median salary is $25.300 and the 59th percentile is $30,200. Step 5 of 5: If Tom's salary has a z-score of 0.6, how much does he earn (in dollars)?

Use the Z-score formula given below Zscore=data - mean            standard deviation It has been determined that the mean task completion times for making fan belts at an auto parts manufacturing facility is 30 minutes. The times are normally distributed with a standard deviation of 2 minutes; a. What percent of belts will take less than 33 minutes to produce? b. What percent of fans will take more than 29 minutes to produce?

Researchers sampled fish from a lake and measured the lengths (mm) of all individuals of two species, bream and perch. They were interested in testing whether there was a difference in the mean lengths of the two species in the lake. Based on the output below, what would be the correct conclusion to draw?   Mean n Std deviation Std error of mean Bream 531.00 6 309.60 126.39 Perch 154.82 11 78.76 23.75  options:   Bream are significantly larger on average than perch in this lake.   There is no significant difference in average sizes of the two species of fish from this lake.   The variances are different so it is not possible to do a statistical test comparing means.   Perch are significantly larger on average than bream in this lake.

The data given below are the weights for a sample of babies. Assume the population of birth weights is normally distributed with a mean of μ= 7.10   DATA: 6.88 6.00 8.19 7.44 7.06 5.06 8.38 7.44 8.31 6.38 What is the mean weight in our sample? What is the standard deviation of our sample? What is the z-score for the heaviest baby in the sample? Give both the X-value and the z-score. What is the z-score for the lightest baby in the sample? Give both the X-value and the z-score. Assuming the distribution of birth weights is normally distributed, what percent of the babies in this distribution weigh more than our heaviest baby?

Fill in the Blanks Type your answers in all of the blanks and submit 11. Perform the following.05 level test: Ho: u = 20.4 vs. Ha: µ < 20.4, given a sample of 10 pieces of data had a mean of 18.8 and a standard deviation of 3.4. What is your data value (test statistic) to 3-decimal places? Type your answer here Write out the exact same data value again to 3-decimal places. Type your answer here What is your chart number (that seperates Reject and Fail to Reject)? Type your answer here 8. MacBook Air