Population 1 mean = 36    Population 2 mean = 45Both population standard deviations are 10.Sample size (per group) 16. What is the probability that a t test will find a significant difference between means at the 0.05 level? Give results for both one- and two-tailed tests. Hint: the power of a one-tailed test at 0.05 level is the power of a two-tailed test at 0.10.

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Cell Phone Lifetimes A recent study of the lifetimes of cell phones found the average is 24 months. The standard deviation is 4.2 months. If a company provides its 33 employees with a cell phone, find the probability that the mean lifetime of these phones will be less than 23.8 months. Assume cell phone life is a normally distributed variable, the sample is taken from a large population, and the correction factor can be ignored. Use a TI-83 Plus/TI-84 Plus calculator. Round your answer to at least four decimal places. P(X< 23.8)=

68% of statistics Mean 95% of statistics 99.7% of statistics 4 Mean Mean 1 st. 3 st dev 2 st. dev below 2 st dev above 3 st. dev below dev above below above The number of potholes in any given 1-mile stretch of freeway pavement in Pennsylvania has a Normal distribution. This distribution has a mean of 63 potholes, and a standard deviation of 7 potholes. Using the Empirical Rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 56 potholes and 70 potholes? % 4 1 st. dev

Mathematics scores on the CBBC standardized exam are normally distributed with a population mean of 164 and a population standard deviation of 12. Ms. Norbury believes her two classes of a total of 48 students have a mathematics comprehension different than 164 and she decides to give her classes the exam. The mean on the exam was 161. Test to determine if her class' mathematics comprehension is different than 164 at the 0.05 level of significance. (Show all seven steps.)

Please do not give solution in image format thanku A production process manufactures electronic components with timing signals whose duration follows a normal distribution. A random sample of 7 components was​ taken, and the durations of their timing signals were measured. a. The probability is 0.10 that the sample variance is bigger than what percentage of the population​ variance? b. The probability is 0.05 that the sample variance is less than what percentage of the population​ variance?

A new material will replace the old material only if there is significant evidence that the mean strength of the new material is more than 2 units higher than the mean strength of the old material.        Sample from new material:     mean  is  98.064   ,     SD  is   5.6     and sample size is 13 Sample from old material:       mean  is  95.282   ,     SD  is   5.8      and sample size is 78 We do not know population standard deviations. Consider the test           ?0:????−????=2H0:μnew−μold=2   vs.  ?0:????−????>2H0:μnew−μold>2  What is the p-value?       (Hint:  best to use software, or else the Desmos Calculator for the 2 sample T and Z test)  Give as a decimal between 0 and 1 accurate to at least 4 decimal places.

The mean number of eggs per person eaten in the United States is 252 and the standard deviation is 68. Do college students eat more than the average? The 45 college students surveyed averaged 281 eggs per person. What can be concluded at the 0.05 level of significance? H0: = 252 Ha: _____________ 252 Test statistic: __________    p-Value =__________                    Reject/Fail to reject H0?______________         Conclusion: There is____________   evidence to make the conclusion that the population mean number of eggs consumed college students per year is more than 252 eggs per student per year. p-Value Interpretation: If the mean number of eggs consumed per year for college students is equal to_________  and if another study was done with a new randomly selected group of 45 college students, then there is a ____________ percent chance that the average number of eggs consumed per year for this new sample would be greater than_____________        . Level of significance…