May is tornado month in Oklahoma. According to the National Weather Service, on average in May, the number of tornadoes in Oklahoma is 21.7 tornados. Consider the random variable X the amount of time (in days) until the 10th tornado occurs.HINT: There are 31 days in May. Think about, on average, a tornado occurs every ___ days.
What is the standard deviation of the number of days before the 10th tornado?
on average, a tornado occurs every 21.7/31=0.7 days
standard deviation of the number of days before the
10th tornado =sqrt(10*0.72) =2.2136 Days (as
it follows gamma distribution with parameter
=10 and
=0.7)
May is tornado month in Oklahoma. According to the National Weather Service, on average in May,...
According to the U.S. National Weather Service, at any given moment of any day, approximately 2000 thunderstorms are occurring worldwide. Many of these storms include lightning strikes. Sensitive electronic equipment is used to record the number of lightning strikes worldwide every day. 28 days were selected at random, and the number of lightning strikes on each day was recorded. The sample mean was 8.3 million. Assume the distribution of the number of lightning strikes per day is normal and has...
A recent national survey found that parents read an average (mean) of 10 books per month to their children under five years old. The population standard deviation is 5. The distribution of books read per month follows the normal distribution. A random sample of 25 households revealed that the mean number of books read last month was 12. At the .01 significance level, can we conclude that parents read more than the average number of books to their children?
According to a magazine, people read an average of more than three books in a month. A survey of 30 random individuals found that the mean number of books they read was 3.2 with a standard deviation of 1.25. a. To test the magazine's claim, what should the appropriate hypotheses be? b. Compute the test statistic. c. Using a level of significance of 0.05, what is the critical value? d. Find the p-value for the test. e. What is your...
According to the Internal Revenue Service, the average length of time for an individual to complete (keep records for, learn, prepare, copy, assemble, and send) IRS Form 1040 is 10.18 hours (without any attached schedules). The distribution is unknown. Let us assume that the standard deviation is two hours. Suppose we randomly sample 36 taxpayers. Part (a) In words, define the random variable X. the number of taxpayers sampled the length of time, in minutes, for an individual to complete...
According to a magazine, people read an average of more than three books in a month. A survey of 30 random individuals found that the mean number of books they read was 3.2 with a standard deviation of 1.26. a. To test the magazine's claim, what should the appropriate hypotheses be? b. Compute the test statistic. c. Using a level of significance of 0.05, what is the critical value? d. Find the p-value for the test. e. What is your...
Assume a media agency reports that it takes television streaming service subscribers in the United States an average of 6.03 days to watch the entire first season of a television series, with a standard deviation of 3.98 days. Suppose Elizabeth, an analyst for an online television and movie streaming service company, wants to determine if her company's customers exhibit similar viewing rates for their series offerings. She formulated the null hypothesis ?0:?=6.03 daysH0:μ=6.03 days and the alternative ?1:?≠6.03 daysH1:μ≠6.03 days,...
EXAMPLE I: Consider the weights of 18 month old boys in the U.S. According to published growth charts, the average weight is approximately 11.8 kg with standard deviation of 1.28 kg. Calculate the percentage of 18 month old boys in the U.S. who weigh between 10.5 kg and 14.4 kg. Solution: So X- N(11.8, 1.28). We need P(10.5<X<14.4) Here: Lower boundary- 10.5 Second: Upper boundary 14.4 Third: u-11.8 Fourth: 6-1.28 Now normaledf(10.5, 14.4, 11.8, 1.28) 824 We want to convert...
A. A supermarket claims that the average wait time at the checkout counter is less than 9 minutes. We can assume that the population is Normally distributed. Consider H0: mu >= 9 H1: mu < 9 A random sample of 50 customers yielded an average wait time of 8.2 minutes and a standard deviation of 2.5 minutes. What is the value of the test statistic (tstat or t-sub-xbar)? (Provide two decimal places)____________ B. Let Z be a standard Normal random...
i
need the answer for this questions . expert did nit answer all of
this questions that i slready posted before
the
wuestion is from f to m . pls click photo
AP-Stats-2005-Q2 2. Let the random variable X represent the number of telephone lines in use by the technical support center of a s manufacturer at noon each day. The probability distribution of X is shown in the table below. ㄨㄧㄒ一0) Px) 0.35 0.20 0.15 0.15 0.10 0.05 0)...
Assume a media agency reports that it takes television streaming service subscribers in the United States an average of 6.24 days to watch the entire first season of a television series, with a standard deviation of 3.80 days. Suppose Elizabeth, an analyst for an online television and movie streaming service company, wants to determine if her company's customers exhibit similar viewing rates for their series offerings. She formulated the null hypothesis ?0:?=6.24 daysH0:μ=6.24 days and the alternative ?1:?≠6.24 daysH1:μ≠6.24 days,...