7. It is a researcher’s belief that the average height of females has increased since the...

7. It is a researcher’s belief that the average height of females has increased since the average value of 65 inches was reported. Using the sample of 30 female heights, conduct a hypothesis test at the .05 level that tests whether or not this researcher might be correct. You must state the null and alternative hypotheses as well as the p-value and an interpretation of what this means. HINT: You can use the “with data” option in StatCrunch to do this calculation.

Height (in Inches) Name 72.44 Emma 67.53 Olivia 66.71 Ava 62.02 Isabella 73.89 Sophia 65.95 Mia 65.83 Charlotte 64.15 Amelia 65.39 Evelyn 59.68 Abigail 64.24 Harper 66.60 Emily 65.40 Elizabeth 64.72 Avery 67.11 Sofia 61.97 Ella 62.83 Madison 67.20 Scarlett 66.62 Victoria 68.78 Aria 66.13 Grace 64.47 Chloe 66.64 Camila 62.39 Penelope 63.90 Riley 62.97 Layla 59.31 Lillian 66.14 Nora 67.54 Zoey 63.45 Mila

Expert Solution

Thus there is no enough evidence from sampled data to support the researcher's claim that average height of female has increased.

orchestra answered 1 year ago

The average height of adult females in the United States is 64.5 inches. Assume that σ...

The average height of adult females in the United States is 64.5 inches. Assume that σ = 2.8 inches and the distribution is approx. normal. Find the probability that a female selected at random is taller than 66 inches. If a sample of 25 females is selected, find the probability that their mean height would be taller than 66 inches. Which probability is smaller? What can you say about the variability of the average of sample vs. the variability of...

What is the probability of randomly selecting 60 females whose average height is at most 64...

What is the probability of randomly selecting 60 females whose average height is at most 64 inches? A. 0.28 B. 0.72 C. 0.47 D. 0.53 Suppose you want to determine the average home run percentage for the Royals baseball team. You randomly select 23 players from Royals history and determine that the mean number of home runs per season is 14.7. Compute a 95% confidence interval for the mean home run percentage, given that the sample standard deviation was s...

Since 1880, U.S. real per capita GDP has increased at an annual average rate of 2%....

Since 1880, U.S. real per capita GDP has increased at an annual average rate of 2%. But, there are almost constant fluctuations about that 2% growth rate. What important factors affect the growth rate and what important factors affect the fluctuations? What can policymakers do to alter the growth rate or to moderate the fluctuations? If you were economic czar, how would you conduct economic policy?

The height of all adult females in Georgia is normally distributed with a mean height of...

The height of all adult females in Georgia is normally distributed with a mean height of 67.4 inches and a standard deviation of 2.8 inches. A random sample of 4 females from Georgia are selected. What is the probability the mean height of the 4 females is greater than 68.4 inches? Do not round any values until you get to your final answer. Round your final answer to three decimals of accuracy (e.g. 0.08493 would round to 0.085) Your Answer:

Use the data below to test whether the average deposits of customers have increased since the...

Use the data below to test whether the average deposits of customers have increased since the change. Use 0.05 as the level of significance. Note that the difference in Deposits is already calculated as Increase in Deposits. Deposit After 30.6 18.1 19.3 31.0 21.9 21.3 24.1 18.4 19.6 18.9 30.6 19.3 29.0 21.7 18.6 20.4 27.6 26.7 27.7 19.8 19.3 20.1 18.2 18.5 25.3 30.8 30.1 23.6 30.1 23.8 25.3 26.0 25.4 31.9 26.2 29.6 19.1 25.6 23.0 18.9 21.9...

The average height of 49 randomly selected men is 175 cm with σ = 7. When...

The average height of 49 randomly selected men is 175 cm with σ = 7. When calculating a 95% confidence interval. The point estimate would be? The critical value? The standard error? The margin of error?

The average height of professional basketball players is around 6 feet 7 inches, and the standard...

The average height of professional basketball players is around 6 feet 7 inches, and the standard deviation is 3.89 inches. Assuming Normal distribution of heights within this group (a) What percent of professional basketball players are taller than 7 feet? (b) If your favorite player is within the tallest 20% of all players, what can his height be?

The height of females in the United States follows a normal distribution with a mean of...

The height of females in the United States follows a normal distribution with a mean of 65 inches and a standard deviation of 2 inches. What height marks the median?

5) The average height of women is ̄y = 64.5 inches, the average height of men...

5) The average height of women is ̄y = 64.5 inches, the average height of men is ̄y = 67.5 inches. For both the standard deviation is about s = 3 inches. (a) Suppose you take a sample of 4 women and 4 men. Construct a 95% CI for both. Do the confidence intervals overlap? (b) Now repeat using a sample of 225 men and 225 women. Do the confidence intervals overlap? (c) Can you explain what happened? Why is...

1. The prevalence of most psychological disorders has increased since the 1980s. In addition, no fictional...

1. The prevalence of most psychological disorders has increased since the 1980s. In addition, no fictional or nonfictional description of individuals showing dissociative amnesia following a trauma exists prior to 1800. How would you explain this phenomenon? 2. Find an example (via a search engine) of a past instance in which a person committed a horrible crime, was apprehended, and later claimed to have dissociative identity disorder during the trial. What was the outcome? Was the person revealed to be...

Question