Machines at a factory produce circular washers with a specified diameter. The quality control manager at the factory periodically tests a random sample of washers to be sure that greater than 90 percent of the washers are produced with the specified diameter. The null hypothesis of the test is that the proportion of all washers produced with the specified diameter is equal to 90 percent. The alternative hypothesis is that the proportion of all washers produced with the specified diameter is greater than 90 percent. Which of the following describes a Type II error that could result from the test?     The test does not provide convincing evidence that the proportion is greater than 90%, but the actual proportion is greater than 90%. A The test does not provide convincing evidence that the proportion is greater than 90%, but the actual proportion is equal to 90%. B The test provides convincing evidence that the proportion is greater than 90%, but the actual proportion is equal to 90%. C The test provides convincing evidence that the proportion is greater than 90%, but the actual proportion is greater than 90%. D A Type II error is not possible for this hypothesis test. E

Part I A bakery sells homemade bread by the loaf and sales are uniformly distributed between 200 and 600 loaves per day. a. Find the probability of selling 240 loaves on a given day. b. Find the probability of selling between 250 and 260 loaves per day Part II The golf balls produced by TruGolf have a mean distance of 250 meters and a variance of 625 meters. c. How large a sample of TruGolf balls should be taken if they want to estimate with 90% confidence the mean distance to within 8 meters? d A random sample of 40 balls from TruGolf are selected. Find the Bound of Error when the confidence level is 95% for TruGolf

The local labor market for the XYZ Company is 75% white. The HR Manager for the XYZ Company wants to see whether her company is significantly more or less white than the local labor market. What statistical test should she use to analyze the data? a. Factorial ANOVA b. Chi Square Goodness of Fit Test c. Repeated Measures ANOVA d. Independent Samples t-test e. One sample t-test

3.  Can SAT scores predict college performance?  Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation.  A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58   The scatter diagram for the SAT score and GPA is given below:   (a)  Find the sample correlation coefficient r.  Truncate to two decimal places.  What does the value tell you about the data? (b)  Find the equation of the least squares line .  Truncate to four decimal places.  What does the slope mean? (c)  Find the value of the coefficient of determination .  Truncate to two decimal places.  What does this number mean? (d)  What is the predicted GPA if a computer science major got a…

It has been estimated that the 1991 G-car obtains a mean of 35 miles per gallon on the highway, and the company that manufactures the car claims that it exceeds the estimate in highway driving. To support its assertion, the company randomly selects 49 1991 G-cars and records the mileage obtained for each car over a driving course similar to that used to obtain the estimate. The following data resulted: x = 36.5 miles per gallon, s = 7 miles per gallon. %3D a. Find the observed significance level for testing Ho: u= 35 vs. Ha: u> 35. %3D b. For what value of significance level a, you will reject the null hypothesis.

A sample of the monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical distribution. The sample mean is $150 and the variance is $400. Using the Empirical Rule, about 95 percent of the monthly food expenditures are between what two amounts? Select one: $85 and $105 Ob. $205 and $220 O $110 and $190 Od. $100 and $200

The average spent nationally on Christmas gifts in 2020 was reported to be $650 per person. Below is a random sample of gift givers from Iowa and what they spent in 2020.    Is there sufficient evidence to conclude that Iowans spend less than the national average?         Estimate the average amount spent by Iowans on Christmas gifts in 2020 with a 90%-CI.     700 450 400 525 550 550 600 575 650 625 500