A social media company stores user information in a database, such as first name, last name, e-mail address, number of posts, hours of time spent using the app version (to the nearest hundredth of an hour), hours of time spent using the desktop version (to the nearest hundredth of an hour), number of likes, occupation, favorite movie, number of followers, and favorite song. Which of the listed variables are discrete numerical variables? a. number of posts, number of likes, number of followers b. number of posts, number of likes, number of followers, hours of timespent using the app version (to the nearest hundredthof ani hour), hours of time spent using the desktop version (to the nearest hundredth of an hour) c. hours of time spent using the app version (to the nearest hundredth of an hour), hours of time spent using the desktop version (to the nearest hundredth of an hour) d. e-mail address, hours of time spent using the app version (to the nearest hundredth of an hour), hours of time spent using the desktop version (to the nearest hundredth of an hour)

Assume that \( z \)-scores are normally distributed with a mean of 0 and a standard deviation of 1 . If \( P(-b<z<b)=0.7944 \), find \( b \). \( b=\square \) Submit Question

You wish to test the following claim \( \left(H_{a}\right) \) at a significance level of \( \alpha=0.10 \). \[ \begin{array}{l}H_{o}: \mu=51.7 \\ H_{a}: \mu<51.7\end{array} \] You believe the population is normally distributed, but you do not know the standard deviation. You obt: a sample of size \( n=23 \) with mean \( M=45.5 \) and a standard deviation of \( S D=14.1 \). What is the p -value for this sample? (Report answer accurate to four decimal places.) p -value \( =\square \)

CNNBC recently reported that the mean annual cost of auto insurance is 1047 dollars. Assur the standard deviation is 291 dollars. You take a simple random sample of 64 auto insurance policies. Find the probability that a single randomly selected value is less than 991 dollars. \( P(x<991)= \) Find the probability that a sample of size \( n=64 \) is randomly selected with a mean less tha 991 dollars. \( P(\bar{x}<991)= \)

Score on last try: 0 of 1 pts. See Details for more. \( > \) Next question Assume that \( z \)-scores are normally distributed with a mean of 0 and a standard deviation of 1 . If \( P(-b<z<b)=0.6956 \), find \( b \). Submit Question

A population of values has a normal distribution with \( \mu=42.8 \) and \( \sigma=88.4 \). You intend to draw a random sample of size \( n=220 \). Find the probability that a single randomly selected value is less than 36.8 . \( P(x<36.8)= \) Find the probability that a sample of size \( n=220 \) is randomly selected with a mean less that 36.8 . \( P(\bar{x}<36.8)= \) Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact \( z \) - scores or \( z \)-scores rounded to 3 decimal places are accepted.