According to work done by a university professor, the proportion of individuals who cover their mouth when sneezing is 0.733 . As part of a school project, Mary decides to confirm the professor's work by observing 100 randomly selected individuals sneeze and finds that 78 covered their mouth when sneezing. Do Mary's results differ from those of the professor? Complete parts (a) through (f) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2 ). (d) Determine the test statistic, \( z_{0} \). \( z_{0}=1.06 \) (Round to two decimal places as needed.) (e) Determine the P-value. P-value \( =\square \) (Round to three decimal places as needed.)

You wish to test the following claim \( \left(H_{a}\right) \) at a significance level of \( \alpha=0.05 \) \[ \begin{array}{l}H_{o}: \mu=72.3 \\ H_{a}: \mu \neq 72.3\end{array} \] You believe the population is normally distributed, but you do not know the standard deviation. You obta a sample of size \( n=5 \) with mean \( M=78.2 \) and a standard deviation of \( S D=18.8 \). What is the p-value for this sample? (Report answer accurate to four decimal places.) -value \( =\square \)

pose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.6 and a standard deviation of 0.42 cribe where approximately \( 95 \% \) of grade point averages lie. swer \[ \text { below } 1.76 \text { and above } 3.44 \] between 1.76 and 3.18 and above 3.02

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

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

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