The owner of a coffee shop collected receipts from all orders placed during a one hour period. For each receipt, the owner recorded the payment method used and if the receipt was $20 or less or more than $20. The following table shows the frequencies of the results. Payment Method Total Phone App Cash Credit/Debit Card 8 10 10 Receipt of $20 or less 15 25 32 Receipt of more than $20 100 Total If a receipt collected during the one hour period is to be selected at random, what is the probability that the receipt was paid with cash? Enter your answer as a value between 0 and 1 rounded to two decimal places

According to a research study, parents with young children slept 6.4 hours each night last year, on average. a random sample of 18 parents with young children was surveyed and the mean amount of time per night each parent slept was 6.8. this data has a sample standard deviation of 0.9. (assume that the scores are normally distributed.) researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of time parents with young children sleep per night is greater than the mean amount of time last year. the null and alternative hypotheses are h0: μ=6.4 and ha: μ> 6.4, which is a right-tailed test. the test statistic is determined to be t0=1.89 using the partial t-table below, determine the critical value(s). if there is only one critical value, leave the second answer box blank.