The average fruit fly will lay 424 eggs into rotting fruit. A biologist wants to see if the average will change for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 406, 438, 395, 402, 404, 436, 411, 414, 440, 420, 419, 416, 415, 438, 437 What can be concluded at the the αα = 0.10 level of significance level of significance? For this study, we should use Correct The null and alternative hypotheses would be: H0: ____ H1 :____ The test statistic ____ Correct = (please show your answer to 3 decimal places.) The p-value _____ = (Please show your answer to 4 decimal places.)

Obtain the five number summary for the given data. The test scores of 30 students are listed below. Find the five-number summary. 32 42 45 48 52 55 57 61 62 65 80 81 83 85 85 87 90 94 96 98 Send data to Excel O Min=32, Q, =61, Q,= 70, Q, = 83, Max = 98 Min = 32, Q, = 61, Q, = 72, Q,=83, Max = 98 O Min = 32, Q, = 59, Q, = 72, Q, = 83, Max = 98 O Min = 32, Q, = 59, Q, = 70, Q, = 83, Max = 98 Continue

Complete the stemplot for the following data. 43 59 48 69 49 62 42 36 35 34 48 30 35 30 49 46 47 40 32 42 35 42 45 56 55 46 59 50 66 48 3# 00245556 4# 02223566788899 5# 6# 05699

In Major League baseball, the speed of a pitch is very important. How fast is the speed of a major league pitcher’s average pitch? A researcher took a random sample of the speed of 16 pitches from the 2019 Major League baseball season. The following are the speeds of these pitches in miles per hour: 92.8, 87.0, 89.1, 96.2, 75.6, 89.6, 92.5, 83.3, 86.5, 95.6, 94.1, 91.6, 94.2, 93.4, 90.0 It is reasonable to treat these measurements as coming from a normal distribution with unknown mean μ and unknown standard deviation σ d) Find the sample standard deviation of the above data e) Find the sample median of the above data. f)Create a 90% confidence interval for μ. ( , )

Construct a stem and leaf diagram and find * :the median for the following data 36 50 70 66 99 87 75 95 67 64 80 98 83 51 47 71 53 81 63 89 99 55 67 69 38 64 70 55 79 57 60 85 62 70 56 78 65 51 86 39

In Major League baseball, the speed of a pitch is very important. How fast is the speed of a major league pitcher’s average pitch? A researcher took a random sample of the speed of 16 pitches from the 2019 Major League baseball season. The following are the speeds of these pitches in miles per hour: 92.8, 87.0, 89.1, 96.2, 75.6, 89.6, 92.5, 83.3, 86.5, 95.6, 94.1, 91.6, 94.2, 93.4, 90.0 It is reasonable to treat these measurements as coming from a normal distribution with unknown mean μ and unknown standard deviation σ a)Use the data to calculate an unbiased point estimate of the true mean, μ, of pitch speeds in the 2019 Major League baseball season. b)Use the data to find an unbiased point estimate of the population variance, σ2 of pitch speeds in the 2019 Major League baseball season. c) Use the data to find the maximum likelihood estimate of the population variance, σ2 , of pitch speeds in the 2019 Major League baseball season.

Solve the following and get the range and variance with the data 25,27,30,32,32,40,45,46,47,48

The average fruit fly will lay 377 eggs into rotting fruit. A biologist wants to see if the average will be greater for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 367, 374, 364, 388, 407, 369, 375, 362, 403, 383, 381, 391, 371 What can be concluded at the the αα = 0.10 level of significance level of significance?    The test statistic =     (please show your answer to 3 decimal places.) The p-value =         (Please show your answer to 4 decimal places.)

Determine if the data are approximately normally distributed. Please use R software.

The data show the population (in thousands) for a recent year of a sample of cities in South Carolina. 26 26 15 29 69 21 30 29 13 26 20 38 85 19 19 23 29 25 111 47 30 49 108 30 38 Send data to Excel