6. The overall distance traveled by a golf ball is tested by hitting the ball with Iron Byron, a mechanical golfer with a swing that is said to emulate the distance hit by the legendary champion Byron Nelson. Ten randomly selected balls of two different brands are tested and the overall distance measured. The data follow: Brand 1: 275, 286, 287, 271, 283, 271, 279, 275, 263, 267 Brand 2: 258, 244, 260, 265, 273, 281, 271, 270, 263, 268 a. Is there evidence that overall distance is approximately normally distributed? Is an assumption of equal variances justified? b. Test the hypothesis that both brands of ball have equal mean overall distance. Use a = 0.05. What is the P-value? c. Construct a 95% two-sided Cl on the mean difference in overall distance for the two brands of golf balls. d. What is the power of the statistical test in part (b) to detect a true difference in mean overall distance of 5 yards? e. What sample size would be required to detect a true difference in mean overall distance of 3 yards with power of approximately 0.75?

Average prices (in dollars) were recorded for three types of beverage across all 8 major Australian states and territories.   In how many states/territories is the average price of a cappuccino higher than the average price of a flat white?   x axis = states y axis = average prices

A student at Tolland High School wondered if boys or girls at her school traveled a greater distance to college. The student randomly selected 50 boys and 50 girls and found the distance each boy and girl travels to college. What type of interval should the student use to compute the difference in the average distances between how far boys and girls from Tolland High School travel to college?

Pls help ASAP. Look at both images.

The scores of 15 students in a math test are given below:43 37 59 71 56 62 45 65 51 50 32 58 45 62 76Construct a stem-and-leaf display of their scores.The Classifications of the Variable

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. ( , )

The council leaders of a small town would like to determine the average number of people living in each household. To accomplish this, they send a questionnaire to each residence listed in the town address records, asking the head of the household to record the number of people living in the dwelling. They follow this up with visits to those households that have not responded to the questionnaire until the data collection process is complete. Which of the following is the best description of the method for data collection used by the council leaders? (A) A convenience sample (B) A simple random sample (C) A stratified random sample (D) A cluster random sample (E) A census

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 indicated IQ score, x, is