please answer c and d

The average fruit fly will lay 391 eggs into rotting fruit. A biologist wants to see if the average will change for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 410, 373, 400, 398, 416, 409, 418, 421, 390, 418, 422, 397, 412 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho : NV VE 391 H1 : PV V # v 391 c. The test statistic t v v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is svv a f. Based on this, we should reject VY the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the population mean is not significantly different from 391 at a = 0.10, so there is sufficient evidence to conclude that the population mean number of eggs that fruit flies with this gene modified will lay in rotting fruit is equal to 391. The data suggest the populaton mean is significantly different from 391 at a = 0.10, so there is sufficient evidence to conclude that the population mean number of eggs that fruit flies with this gene modified will lay in rotting fruit is different from 391. The data suggest that the population mean number of eggs that fruit flies with this gene modified will lay in rotting fruit is not significantly different from 391 at a = 0.10, so there is insufficient evidence to conclude that the population mean number of eggs that fruit flies with this gene modified will lay in rotting fruit is different from 391. Question Help: Message instructor Submit