Find the best critical region for testing H :1 = 2, 0. H:1 = 3 based on the sample drawn from a Poisson 1 distribution.
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- a sample of 60 grade 9 student age was obtained to estimate the mean age of all grade 9 students. x = 15.3 years and the population variance is 16Find the critical value for a test for correlation with α = 0.01 for a sample size of 30.A population of scores has Mean = 73 and SD = 8. If the distribution is standardized to create a new distribution with Mean = 100 and SD = 20, what are the new values for X = 65 from the original distribution? Compute the Z - Score and Identify the X ( Score ).
- Warming and Ice Melt The average depth of the Hudson Bay is 305 feet. Climatologists were interested in seeing if the effects of warming and ice melt were affecting the water level. Fifty-five measurements over a period of weeks yielded a sample mean of 306.2 feet. The population variance is known to be 3.6. Can it be concluded that the average depth has increased with a=.05 ? a)Use the P-value Method b) Use the Critical Value Method(Please explain what I was doing wrong)A traffic safety company publishes reports about motorcycle fatalities and helmet use. In the first accompanying data table, the distribution shows the proportion of fatalities by location of injury for motorcycle accidents. The second data table shows the location of injury and fatalities for 2073 riders not wearing a helmet. Complete parts (a) and (b) below. (a) Does the distribution of fatal injuries for riders not wearing a helmet follow the distribution for all riders? Use α = 0.10 level of significance. What are the null and alternative hypotheses? A. Ho: The distribution of fatal injuries for riders not wearing a helmet follows the same distribution for all other riders. H₁: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. B. Ho: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. H₁: The distribution of fatal injuries for…
- Records for the last 15 years have shown that the average rainfall in a certain region of the country, for the month of March, to be 1.20 inches, with s = 0.45 inches. A second region had an average rainfall of 1.35 inches, with s = 0.54. estimate the difference of the true average rainfalls in those two regions as a 95% C.I. with the assumption of normal populations and unequal variances.I need help finding the test statistic t (rounded to 2 decimal places) and the P-value (rounded to 3 decimal places). Thank youA sample of final exam scores is normally distributed with a mean equal to 20 and a variance equal to 25. What raw score is the cutoff for the top 10% of scores?
- A school district decided to measure the BMI of all 3rd graders and identify the highest 1% and lowest 1% of those students. If the distribution is converted to a z distribution, what would be the upper critical z value and lower critical z value that mark the two significant areas at the tails?The pH of rain, measured at a weather station in Michigan, was observed for 39 consecutive rain storms. The sample mean is 4.6982 and the sample variance is 0.39623. Test the research hypothesis that the mean pH is less than 5.00, with α = 0.01.A quality control officer compares the average lifetime of four different brandsof hand phones. For each of the brand, 5 hand phone was used to calculate theaverage lifetime in minutes. The results are given as follow. i)Find (V), (W), (X), (Y) and (Z) ii)Assuming the populations are normally distributed, determine whichaverage lifetime of the hand phones is significantly different at ? =0.05?