20. The table below gives the number of days it takes for packages to be delivered from an online retailer and the probability associated with each number of days. Number of Days Probability 3 0.01 4 0.14 5 0.46 6 0.25 0.14 7
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Find the standard deviation of the
random variable.
A) 0.9897
B) 0.7940
C) 1.0135
D) 0.9236
E) 0.8688
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- Assume that z scores are normally distributed with a mean of 0 and a standard deviation of 1. If P(-a<z<a)=0.4314, find a. a) -0.18 b) 0.3328 c) 0.57 d) 1.49A random sample of 6 people who went on a diet recorded their weight loss (in pounds) "x" after 3 months. The results are as follows:a.) What is the sample Mean ¯x? b.) Fill in the blanks in the table below to help solve for the Standard Deviation of the sample. x (x−¯x) (x−¯x)2 x x2 6 6 10 10 13 13 17 17 19 19 25 25 c.) Find the Standard Deviation of the sample: **Round to TWO decimal places**The heights (in inches) of 10adult males in an office are listed below. a. Find the standard deviation. Show the table (two columns) with all entries and the formula with appropriate entries. E(x-x)² S = 70 72 71 70 69 73 69 68 70 60 n-1
- T1.Q3) A university class ckntained 60 female students. they were asked to report their hieghts (in cm), with the following results. n=60 mean=163.39 standard deviation=8.68 1) within what range would you expect 95% of the heights to lie? 2) Find the z-score of Jenny, a female student whose height is 155.22cm. Approximately how many students are shorter than Jenny? 3) Tina has a height of 195cm. what is her z- score? Approimately how many students in the class do you think would be taller than Tina?Given numbers : 637 144 821 179 180 152 435 881 500 569 88 444 705 982 359Assume that females have pulse rates that are normally distributed with a mean of μ=73.0beats per minute and a standard deviation of σ=12.5 beats per minute. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 79beats per minute. The probability is _____.(Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 79beats per minute. The probability is ____. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. B. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. C. Since the mean pulse rate exceeds 30, the…
- Fill in the blank: A nonparametric test has less OA. power O B. type II error rates OC. standard deviations OD. means OE. None of the above than a t test.A student takes a true-false test that has 10 questions and guesses randomly at each answer. LetX be the number of questions answered correctly. c)The mean and stand deviation of X (show work and round final answer to 2 decimal places) Mean: Standard deviation =3) Answer each question using the list of numbers provided below and use STDEV equation provided. Hint: Standard Deviation = VE(Xi – Mean)²/(n – 1) - Set A {-16,0,16,15,25} Mean= Standard Deviation:
- Claim: The mean pulse rate (in beats per minute) of adult males is equal to 68.7 bpm. For a random sample of 151 adult males, the mean pulse rate is 69.7 bpm and the standard deviation is 11.3 bpm. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. bpm (Type an integer or a decimal. Do not round.) b. Identify the null and alternative hypotheses. Но bpm H1: (Type integers or decimals. Do not round.) bpmIn one town, the number of burglaries in a week has a mean 28. Let X denote the number of burglaries in the town in a day. Find the standard deviation of X O a 5.2915 O b. 28 Od 2A fast food restaurant boasts that their mean wait time in the drive-thru line is less than 3 minutes. Does the restaurant's claim hold true if the average wait time for 125 drive-thru customers is 2.82 minutes? (Assume σ = 1.16.)