Diet Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. Regular H2 36 n 36 X 0.78021 Ib 0.81413 Ib 0.00434 lb 0.00743 lb a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? O A. Ho: H1 = H2 H1: Hy> H2 O B. Ho: H1 = H2 H1: H1 # H2 O C. Ho: H1 = H2 H,:Hq

200 patients involves 200 particpants in comparing an experimental medication to a placebo. Each person enrolled is randomized to recieve either the experimental medication or placebo. Data is collected at the end of the study after 6 weeks. Test if there is significant difference in mean systolic blood pressures between grouos using a=0.05. Meqn of 174 standard deviation of 19.5  Mean systolic blood pressure: experimental (n= 100) 120.2 (15.4) placebo (100) 131.4 (18.9)  Hypertensive (%) exp. 14 placebo 22 Side effects (%) exp. 6 placebo 8

The following data are the daily number of minutes of smartphone use for a random sample of 8students at your institution: 117, 156, 89, 72, 116, 125, 101, 100.(You may use t(df=7, 0.05) = -1.895) (a) Test the null hypothesis according to which the true mean is greater or equal to 100 minagainst the alternative that it is less than 100. Use a significance level of 5% (state the test statistic and the conclusion).

At Atlanta’s Hartsfield International Airport, airport officials monitor the average time taken to get passenger checked luggage to the luggage belt after a flight arrival. Last year, the average time was 15 minutes. This year, a sample of 35 flights yielded a sample mean of 17 minutes and a sample standard deviation of 5 minutes. At the 5% level of significance, can you conclude that the average time to get luggage to the belt has changed from last year? How about at the 1% significance level?

Aspirin is packed in 150 tab bottles with weight normally distributed with mean 750g and standard deviation 8g.  Rejected bottles are those whose weight differs from the mean weight by 18g or more.  That is, rejected bottles have weight either too small or too large.  We want to find out how many bottles will be rejected from a daily production of 10,000 bottles. 1)Do we have to calculate one z-score or two z-scores?    2)The negative z-score is  _____  ( rounded to two decimal digits) 3)The positive z-score is  ______   (rounded to two decimal digits) 4)The sketch of the normal curve that describes the question is graph looks like what?  5)How many bottles, of the 10000, do we anticipate to reject?

The mean ACT composite score in a recent year is 20.8 with a standard deviation of 5.6. A random sample of 36 ACT composite scores are selected. What is the probability that the mean score for the sample is less than 21.6?

Careful analysis of a random sample of n=16 pages of a Huge Government Document published by the Office Of Printed Statistical Information (OOPSI) revealed a mean of, 5.2 spelling and/or errors of grammar per page. The standard deviation o of the number of errors per page is 3.6. does this data provide significant evidence (at, the, 5% level) that the true mean number of errors per page is less than 7 and thus good, enough for government work? State null and alternative hypothesis, calculate the test statistic, determine the P-value, and state your conclusion.

Scores  on  a  standard  IQ  Test   for  people  aged  20  to  34  are   normally distributed  with  mean  110  and  standard  deviation  25.  (a) A researcher wants to select the men in   the bottom 25% on this intelligence scale. How low must a man score (IQ)to be selected? (b) A researcher wants to select the men in   the top  15%  on  this intelligence  scale. How high must a man score(IQ) to be selected?