A simple random sample of 49 men from a normally distributed population results in a standard deviation of 7.8 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 t Complete parts (a) through (d) below. 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. a. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: o= 10 beats per minute O B. Ho: o+ 10 beats per minute H:0 = 10 beats per minute H:o< 10 beats per minute OC. Ho: 0210 beats per minute H:o< 10 beats per minute O D. Hn: 0 = 10 beats per minute H:0# 10 beats per minute b. Compute the test statistic. (Round to three decimal places as needed.) c. Find the P-value. P.value = (Round to four decimal places as needed.) d. State the conclusion. V Ho, because the P-value is V the level of significance. There is evidence to warrant rejection of the claim that the standard deviation of men's pulse rates is equal to 10 beats per minute.

Assume that the heights of women are normally distributed with a mean of 62.4 inches and a standard deviation of 1.6 inches. Find Q3 the third quartile that separates the bottom 75% from the top 25%

claim the standard deviation of pulse rates in adult women is at least 50. for a random sample of adult females the pulse rates have a standard deviation of 11.6.

The distribution of the student heights at a large college is approximately bell shaped. If the mean height is 66 inches,and approximately 95% of the heights fall between 32 and 100 inches, then, the standard deviation of the heightdistribution is approximately equal to

In a certain country the heights of adult men are normally distributed with a mean of 70.2 inches and a standard deviation of 2.7 inches. The​ country's military requires that men have heights between 66 inches and 79 inches. Determine what percentage of this​ country's men are eligible for the military based on height. The percentage of men that are eligible for the military based on height is nothing​%. ​(Round to two decimal places as​ needed.)

Humerus bones from the same species of animal have approximately the same length-to-width ratios. It is known that Species A has a mean ratio of 5.9. Suppose that 100 fossil humerus bones were unearthed at a site where Species A is known to have flourished. (We assume that all bones are from the same species.) The length-to-width ratios of these bones have a sample mean 5.6 and sample standard deviation 0.25.   Can we conclude that the mean ratio of these bones is significantly smaller than those of Species A? Test with a 0.01 significance level.   What is the standard error?

A fruit grower wants to test a new spray that a manufacturer claims will reduce the loss due to insect damage. She sprays 20 trees with the new spray and 20 trees with the standard spray.  The following data were recorded:   New Spray Standard Spray Mean yield per tree(lb) 240 227 Standard deviation 31.3 28.6   Do the data provide evidence that the new spray increases the yield per tree?

The average life span of one particular brand of refrigerator is 12 years with a standard deviation of 0.8. Find the percentage of the refigerators that last between 10 and 14.5 years. O 99.3% 99.9% 95.9% 97.8% ▶

A newspaper article noted that the mean life span for 35 male symphony conductors was 73.2   years with a standard deviation of 8.7 . Males in the general population have a mean life span of 69.5 years. Use a 0.05 significance level to test the claim that male symphony conductors have a mean life span that is greater than 69.5 years. a. Define the parameter     A. mu   ​= The mean life span of the 35 male symphony conductors in the sample   B. p​ = The proportion of all male symphony conductors who life more than 69.5 years   C. mu   ​= The mean life span of all male symphony conductors   D. mu   ​= The mean life span of all males   b. State the null and alternative hypotheses     A. Upper H 0 : mu equals 73.2    Upper H 1 : mu greater than 73.2     B. Upper H 0 : mu equals 69.5 Upper H 1 : mu greater than 69.5     C. Upper H 0 : mu greater than 69.5 Upper H 1 : mu equals 69.5     D. Upper H 0…

The mean SAT verbal score is 485​, with a standard deviation of 97. Use the empirical rule to determine what percent of the scores lie between 485 and 679. ​(Assume the data set has a​ bell-shaped distribution.)