A random sample of 100100 observations from a population with standard deviation 26.2698667319741 yielded a sample mean of 94.6 (a)    Given that the null hypothesis is ?=90 and the alternative hypothesis is ?>90 using ?=.05, find the following: (i)    critical z score     (ii)    test statistic = (b)    Given that the null hypothesis is ?=90 and the alternative hypothesis is ?≠90 using ?=.05, find the following: (i)    the positive critical z score     (ii)    the negative critical z score     (iii)    test statistic =

A SRS of 18 statistics examinations was taken from a large normal population.  The average score in the sample was 76.6 with a sample variance (not sample standard deviation) of 51.84.  We are interested in determining whether the average grade of the population is significantly different from 70.   It can thus be concluded that the average grade of the population is Group of answer choices is exactly 76.6 is exactly 70 significantly different than 70 not significantly different than 70

In a study of pulse rates of men, a simple random sample of 150 men results in a standard deviation of 11.4 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute; see the accompanying StatCrunch display for this test. What do the results indicate about the effectiveness of using the range rule of thumb with the "normal range" from 60 to 100 beats per minute for estimating o in this case? Assume that the simple random sample is selected from a normally distributed population. Click the icon to view the StatCrunch display. Let o denote population standard deviation of the pulse rates of men (in beats per minute). Identify the null and alternative hypotheses. Ho: o H₁:…

A random sample of 23 bags of apples (marked as 10 pounds each) received by a large grocery chain tested out as having a mean of 9.2 pounds with a variance of 2.56 pounds. Test whether the true mean of all bags is under 10 pounds. Set up hypotheses. Perform the appropriate test by showing your formula. Interpret the results using a Type I (alpha) error of .05. Also provide the p value here. Also construct a 95% confidence interval around your sample mean (X bar) that should contain the true mean (mu). Also interpret this interval.