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You work for a company that produces electronics with integrated circuits. One of your products is called a "shift register." This product is designed to automatically shut down if its operating temperature exceeds 175 degrees Celsius. The manufacturing process has been designed to have a standard deviation of o = 0.4 degrees Celsius. You test a random sample 18 shift registers, and you record the following shut-down temperatures. Construct a 98% confidence interval for the overall mean shutdown-temperature. 174.94 174.56 174.85 174.9174.27 175.37 174.82 174.11 174.21 174.4 175.06 174.59 174.61 175.39 174.2 174.99 174.38 175.47 (Checksum: 3145.12) a) Find the critical value and oz. Critical Value: 0: b) Find the confidence interval:
A food distribution company claims that a fast food restaurant chain receives, on average, 24 pounds of meat on a daily basis. The district manager of the restaurant chain decides to randomly sample 31 shipments from the company and finds a mean weight of 22.5 pounds with a standard deviation of 4.4 pounds. Test at a 3% level of significance to determine whether or not the food distribution company sends less than they claim. a. Check all of the requirements that are satisfied. random the i distribution is normal since n > 30 the 7 distribution is normal since the distribution is normal the p distribution is normal since np > 10 and nq 2 10 b. Identify the null and alternative hypotheses. H: OM H: C. What type of hypothesis test should you conduct (left, right, or two-tailed)? left-tailed right-tailed two-tailed d. Identify the appropriate significance level. Make sure to enter your answer as a decimal. e. Which calculator function should you use? T-Test f. Find the test statistic. Write the result below, and be sure to round your final answer to two decimal places. g. Find the p-value. Enter your answer as a decimal (not a percentage) and round to 4 decimal places.
Test the claim that the proportion of people who own cats is larger than 50% at the 0.05 significance level. The null and alternative hypothesis would be: Họ:1 = 0.5 Hp:u < 0.5 Họ:> 0.5 Ho:p> 0.5 Ho:p < 0.5 Ho:p = 0.5 H:14 0.5 Hậu > 0.5 H:1 < 0.5 Hip < 0.5 Hip > 0.5 Hộp + 0.5 The test is: right-tailed two-tailed left-tailed 0 Based on a sample of 100 people, 58% owned cats The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis O Reject the null hypothesis Question Help: D Video
Do men score lower on average compared to women on their statistics final exams? Final exam scores of 14 randomly selected male statistics students and 12 randomly selected female statistics students are shown below. Test the claim that men score lower on the statistics final exam than women do at the the a = 0.05 level of significance. Assume variances are equal. male female 83 71 66 68 57 82 84 86 82 82 89 78 81 82 81 76 79 85 66 83 74 78 88 73 80 76 What are the correct hypotheses? Ho: . o 4 H: Based on the hypotheses and sample data, find the following: Standardized Test Statistic: t = {2 decimal places} Critical Values: tc = (3 decimal places}