I believe the population proportion of men that grow their beard fully in cooler months is 0.25. After creating a survey and receiving data from 100 men, information shows 45 out of 100 grow a full beard particularly for the weather in cooler months as opposed to the rest who are clean shaven year round. Test this hypothesis at .05, assume a random sample.  Let p = proportion of men that grow beards in cooler months Based on p-value would we reject or fail to reject the null hypothesis

Find the proportion of N.d. observations with a zz-score between z_1 =z1​= -2.45 and z_2 =z2​= 2.71. Give your answer to four decimal places.

A researcher wants to examine the effect of daily mental exercises on cognitive performance of people in early stages of Alzheimer's disease. She enrolled to her study n = 16 patients diagnosed with the early stage of Alzheimer's disease and all participants conducted daily mental exercises for a month. At the end of the program all enrolled patients took the MMSE test (i.e., Mini-Mental State Examination). The results show that the sample mean on the MMSE test was M = 23.6  with the standard deviation, s = 7. It is known that the MMSE mean in the population of patients with early Alzheimer's disease is µ = 20. Do these data show a significant effect of daily mental exercises on cognitive performance in early stages of Alzheimer's disease?

Suppose the mean retail price oer gallon of regular gasoline int the United States is $3.42 with a standard eviation of $0.40 and the retail price per gallon has a normal bell shaped distribution. Use the Empirical Rule to answer the following quesitona. What percentage of regular gasoline sold between $2.62 and $3.82 per gallon? what percentage of regualr gasoline sold for more the $3.82 per gallon?

A large p-value indicates that the data is consistent with the alternative hypothesis.   True or false?

The mean age of bus drivers in chicago is 56.7 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

Determine the margin of error in estimating the population mean, μ. Based on a sample of size 44, a 95% confidence interval for the mean score of all students, μ, on an aptitude test is from 67 to 72. Find the margin of error.

According to an article in Good Housekeeping, a 128-lb woman who walks for 30 minutes four times a week at a steady, four-mi/hr pace can lose up to 10 lbs over a span of a year.  Suppose 35 women with weights between 125 and 130lb perform the four walks per week for a year and at the end of the year the average weight loss for the 35 was 9.1 lbs.  If the sample standard deviation is 5, calculate the value of the test statistic and find the p-value of the hypothesis test of Ho:µ =10 vs H1:µ≠10.

A quality control expert at a local dairy claims that its cartoons contain more than 64oz of milk a sample of 15 cartoons reveals a mean of 65 and 1.1 oxs respectively. At the 1% level, does the appropriate hypothesis support his claim? find and interpret the p value

Clothes dried outside smell better than those dried in a dryer because of a process called photolysis. Sunlight breaks down compounds that cause odor. A trained smeller is asked to smell a random sample of 20 towels. The smeller does not know it, but all of the 20 towels have been dried in the sun. The smeller is blindfolded and is not allowed to touch the towels but leans forward to smell the towel then rates the towel on a smell-scale of 1 to 10, where 1 is the an extremely unpleasant smell and 10 is a very good smell. A smell rating of 8 is typically attributed to a towel that is dried in the dryer. The mean smell rating for these 20 towels is approximately normal with a mean of 8.45 and the standard deviation is 0.887. A statistician performs a test of Ho μ = 8 versus H₁ μ> 8 where is the true mean smell rating for all towels dried in the sun. This test yields a P-value of 0.0176. What conclusion would you make at the significance level a = 0.05? Because the P-value of 0.0176 < α =…