To test \( \mathrm{H}_{0}: \mu=20 \) versus \( \mathrm{H}_{1}: \mu<20 \), a simple random sample of size \( n=16 \) is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). Click here to view the t-Distribution Area in Right Tail. (d) If the researcher decides to test this hypothesis at the \( \alpha=0.05 \) level of significance, will the researcher reject the null hypothesis? B. The researcher will reject the null hypothesis since the P-value is not less than \( \alpha \). C. The researcher will not reject the null hypothesis since the P-value is less than \( \alpha \). D. The researcher will not reject the null hypothesis since the P-value is not less than \( \alpha \).

Four scenarios of statistical studies are given below. Decide which study uses a population parameter. Answer 1000 of the 1883 participants in last year's Ironman in Kona, Hawail were interviewed. \( 68 \% \) of those interviewed said they became interested in triathlons after first ofmpeting in marathons. 351 dog owners who were surveyed, 70 reported owning two dogs. Parkland Hospital performs 15,000 births a year. Of 1000 subjects in a study on multiple births, 38 gave birth to twins. in \( 2001.78 \% \) of children diagnosed with cancer were in remission after five years, and this number is improving.

A water bottling facility has a mean bottling rate of 35.2 thousand bottles per hour with a standard deviation of 2.04 thousand bottles, A nearby cola bottling facility has a mean bottling rate of 26.9 thousand bottles per hour with a standard deviation of 1.51 thousand bottles. One Wednesday from noon to \( 1: 00 \) p.m., the water bottling facility bottled 36.9 thousand bottles of water, and the cola bottling facility bottled 27.9 thousand bottles of cola. Which facility increased their efficiency more during that hour? Answer

Find the range of the following data set. Assume the data set is a sample.

The grades on the second statistics test for Ms. Rose's class are in the following list. Find the frequency distribution for the grades. B, B, A, D, D, D, D, C, C, D, F, D, D, D, D, B, C, B, F, F, C

Construct a box plot from the given data. Diameters of Cans in an Assembly Line: \( 5.8,5.7,5.2,5.5,5.3,5.7,5.8,5.4,5.9,5.3 \)